excelsimulation_15apr05

PARAMETERS

TANK INPUT TEMPERATUREPipe Inner Diameter - Panel Output to Tank Input (m) 0.022225

Pipe Length - Panel Output to Tank Input (m) 1.4478Pipe Wall Thickness - Panel Output to Tank Input (m) 0.003175

Pipe Insulation Thickness - Panel Output to Tank Input (m) 0.009525Pipe Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.137

Insulation Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.035

TANK ANALYSISTank Inner Diameter (m) 0.479425

Tank Inner Length (m) 0.7366Tank Wall Thickness (m) 0.00635

Tank Insulation Thickness (around circumference) (m) 0.039688Tank Insulation Thickness (across cylinder base) (m) 0.070644

Tank Wall Thermal Conductivity (W/m*K) 0.137Tank Insulation Thermal Conductivity (W/m*K) 0.038

PANEL INPUT FLOW & TEMPERATUREPipe Inner Diameter - System Input to Panel Input (m) 0.026238Pipe Length - Tank Siphon Output to Panel Input (m) 0.9

Pipe Wall Thickness - System Input to Panel Input (m) 0.003581Pipe Insulation Thickness - System Input to Panel Input (m) 0.0027

Pipe Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035Insulation Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035

Number of Vertical Array Pipes 6

COLLECTOR HEAT LOSSPanel Length (m) 1.77165Panel Width (m) 1.16205

Number of Glass Cover Plates (unitless) 2Thickness of Bottom Plate (or single plate) (m) 0.000508

Thickness of Top Plate (m) 0.00635 6) Glass Solar Transmisivity (decimal) 0.79

10) Glass Emissivity (decimal) 0.94Index of Refraction 1.53

6) Glass Thermal Conductivity (W/m*K) 1.40Glass Specific Heat (J/kg*K) 750

Glass Gap Space (if more than 2 plates) (m) 0.01Absorber Plate/Cover Gap space (m) 4.0E-02

6) (black sulfide) Absorber Plate Absorbivity (decimal) 0.92 6) Absorber Plate Emmisivity (decimal) 0.10

Panel Tilt Angle (degrees) 40.0Thickness of Insulation (m) 0.08

Bottom Insulation Thermal Conductivity (W/m*K) 0.038Thickness of Bottom Board (m) 0.011

Bottom Board Thermal Conductivity (W/m*K) 0.12

COLLECTOR PANEL ANALYSISPipe Length - Vertical Array (m) 1.5748

Pipe Spacing - Vertical Array (m) 0.193675Pipe Inner Diameter - Vertical Array (m) 0.020599Pipe Outer Diameter - Vertical Array (m) 0.022225

Absorber Plate Thickness (m) 0.000508Thermal Conductivity - Absorber Plate (W/m*K) 392.3

Thermal Conductivity - Array Pipe (W/m*K) 392.3Thermal Conductivity - Solder (W/m*K) 67

Width of Solder along Abs Plate (m) 0.0075Average Thickness of Solder (m) 0.002

THERMOSIPHON PRESSUREHeight of Tank Input (m) 2.0193

Height of Tank Siphon Output (m) 1.6383Height of System Input (m) 1.4351

Height of Collector Input (m) 0.15875Height of Collector Output (m) 1.1684

SYSTEM FLOW RATE

TankPipe Length (m) 0.08 0.6985

Pipe Inner Diameter (m) 0.02225 0.479425Number of Parallel Pipes 1 1

Roughness (m) 0.0000015 0.0000015

# in TankFlanged Tees, Line Flow 0.2 0

Threaded Tees, Line Flow 0.9 0Flanged Tees, Branched Flow 1 0Threaded Tees, Branch Flow 2 0

Threaded Union 0.08 0Flanged Regular 90o Elbows 0.3 0

Threaded Regular 90o Elbows 1.5 0Threaded Regular 45o Elbows 0.4 0

Flanged Long Radius 90o Elbows 0.2 0Threaded Long Radius 90o Elbows 0.7 0

Flanged Long Radius 45o Elbows 0.2 0Flanged 180o Return Bends 0.2 0

Threaded 180o Return Bends 1.5 0Fully Open Globe Valve 10 0Fully Open Angle Valve 2 0Fully Open Gate Valve 0.15 01/4 Closed Gate Valve 0.26 01/2 Closed Gate Valve 2.1 0

Panel Output to

Tank Input

Loss Coefficient

3/4 Closed Gate Valve 17 0Forward Flow Swing Check Valve 2 0

Fully Open Ball Valve 0.05 01/3 Closed Ball Valve 5.5 02/3 Closed Ball Valve 200 0

Square Pipe Entrance (Reservoir to Pipe) 0.5 0Rounded Pipe Entrance 0.2 0

Re-entrant Pipe Entrance 1 0Square Pipe Exit (Pipe to Reservoir) 1 0

Rounded Pipe Exit (Pipe to Reservoir) 1 0Re-entrant Pipe Exit (Pipe to Reservoir) 1 0

MOODY FRICTION FACTOR

0.83185 2.27965 1.0668 1.5748 1.06680.026238 0.026238 0.026797 0.020599 0.026797

1 1 1 6 11.5E-06 0.0000015 1.5E-06 1.5E-06 1.5E-06

0 2 5 0 5 00 0 0 0 0 00 0 0 10 0 00 0 0 0 0 01 2 0 0 0 20 0 1 0 1 00 0 0 0 0 00 0 0 0 0 01 1 0 0 0 20 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

Tank Siphon

Output to System Input

System Input to

Panel Input

Lower Horizontal

Array Pipe

Vertical Array Pipe

Upper Horizontal

Array Pipe

http://www.fluidedesign.com/download-free/pipe_rough_values.pdf

# in Tank Siphon


# in System Input to

Panel Input

# in Lower

Horizontal Array Pipe

# in Vertical Array Pipe

# in Upper


# in Panel Output to

Tank Input


0 0 0 0 0 01 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

OPERATING CONDTIONSGravity (m/s^2) 9.81

System Time Step (s) 236.80428

TANK INPUT TEMPERATURE

Time (s):0 0 285.192

10 236.80428 285.37620 473.60856 285.13530 710.41284 285.61640 947.21713 285.96650 1184.0214 286.00660 1420.8257 286.34870 1657.63 286.97280 1894.4343 286.34290 2131.2385 287.122

100 2368.0428 287.297110 2604.8471 287.101120 2841.6514 287.792130 3078.4557 286.941140 3315.2599 287.015150 3552.0642 287.642160 3788.8685 287.294170 4025.6728 287.265180 4262.4771 287.883190 4499.2813 287.911200 4736.0856 287.927210 4972.8899 288.104220 5209.6942 287.986230 5446.4985 288.732240 5683.3028 288.327250 5920.107 288.332260 6156.9113 288.704270 6393.7156 288.056280 6630.5199 289.39290 6867.3242 289.917300 7104.1284 287.648310 7340.9327 288.919320 7577.737 289.249330 7814.5413 289.023340 8051.3456 288.778350 8288.1498 288.516360 8524.9541 289.342370 8761.7584 290.926380 8998.5627 289.187390 9235.367 290.741

Ambient Temperature

(K)

400 9472.1713 290.722410 9708.9755 291.263420 9945.7798 290.542430 10182.584 290.09440 10419.388 289.939450 10656.193 289.853460 10893 290.328470 11129.801 290.002480 11366.606 289.406490 11603.41 289.911500 11840.214 289.732510 12077.018 290.451520 12313.823 290.785530 12550.627 291.321540 12787.431 290.47550 13024.235 291.368560 13261.04 290.644570 13497.844 291.329580 13734.648 292.415590 13971.453 292.711600 14208.257 290.993610 14445.061 291.209620 14681.865 291.493630 14918.67 290.936640 15155.474 291.447650 15392.278 292.394

TANK INPUT TEMPERATURE TANK ANALYSIS PANEL INPUT FLOW & TEMPERATURE

Time (s)0.6 0 1E-16 285.192 0.6 1E-160.6 236.80428 1E-16 285.376 0.6 1E-160.6 473.60856 1E-16 285.135 0.6 1E-160.6 710.41284 1E-16 285.616 0.6 1E-160.6 947.21713 1E-16 285.966 0.6 1E-160.6 1184.0214 1E-16 286.006 0.6 1E-160.6 1420.8257 1E-16 286.348 0.6 1E-160.6 1657.63 1E-16 286.972 0.6 1E-160.6 1894.4343 1E-16 286.342 0.6 1E-160.6 2131.2385 1E-16 287.122 0.6 1E-160.6 2368.0428 1E-16 287.297 0.6 1E-160.6 2604.8471 1E-16 287.101 0.6 1E-160.6 2841.6514 1E-16 287.792 0.6 1E-160.6 3078.4557 1E-16 286.941 0.6 1E-160.6 3315.2599 1E-16 287.015 0.6 1E-160.6 3552.0642 1E-16 287.642 0.6 1E-160.6 3788.8685 1E-16 287.294 0.6 1E-160.6 4025.6728 1E-16 287.265 0.6 1E-160.6 4262.4771 1E-16 287.883 0.6 1E-160.6 4499.2813 1E-16 287.911 0.6 1E-160.6 4736.0856 1E-16 287.927 0.6 1E-160.6 4972.8899 1E-16 288.104 0.6 1E-160.6 5209.6942 1E-16 287.986 0.6 1E-160.6 5446.4985 1E-16 288.732 0.6 1E-160.6 5683.3028 1E-16 288.327 0.6 1E-160.6 5920.107 1E-16 288.332 0.6 1E-160.6 6156.9113 1E-16 288.704 0.6 1E-160.6 6393.7156 1E-16 288.056 0.6 1E-160.6 6630.5199 1E-16 289.39 0.6 1E-160.6 6867.3242 1E-16 289.917 0.6 1E-160.6 7104.1284 1E-16 287.648 0.6 1E-160.6 7340.9327 1E-16 288.919 0.6 1E-160.6 7577.737 1E-16 289.249 0.6 1E-160.6 7814.5413 1E-16 289.023 0.6 1E-160.6 8051.3456 1E-16 288.778 0.6 1E-160.6 8288.1498 1E-16 288.516 0.6 1E-160.6 8524.9541 1E-16 289.342 0.6 1E-160.6 8761.7584 1E-16 290.926 0.6 1E-160.6 8998.5627 1E-16 289.187 0.6 1E-160.6 9235.367 1E-16 290.741 0.6 1E-16

Velocity of Air Perpendicular to Pipe Wall

(m/s)

Volumetric Flow Rate -

Tank Output (m^3/s)

Ambient Air Temperature

(K)

Air Velocity Across Tank

(m/s)

Volumetric Flow Rate - Tank Output

(m^3/s)

0.6 9472.1713 1E-16 290.722 0.6 1E-160.6 9708.9755 1E-16 291.263 0.6 1E-160.6 9945.7798 1E-16 290.542 0.6 1E-160.6 10182.584 1E-16 290.09 0.6 1E-160.6 10419.388 1E-16 289.939 0.6 1E-160.6 10656.193 1E-16 289.853 0.6 1E-160.6 10892.997 1E-16 290.328 0.6 1E-160.6 11129.801 1E-16 290.002 0.6 1E-160.6 11366.606 1E-16 289.406 0.6 1E-160.6 11603.41 1E-16 289.911 0.6 1E-160.6 11840.214 1E-16 289.732 0.6 1E-160.6 12077.018 1E-16 290.451 0.6 1E-160.6 12313.823 1E-16 290.785 0.6 1E-160.6 12550.627 1E-16 291.321 0.6 1E-160.6 12787.431 1E-16 290.47 0.6 1E-160.6 13024.235 1E-16 291.368 0.6 1E-160.6 13261.04 1E-16 290.644 0.6 1E-160.6 13497.844 1E-16 291.329 0.6 1E-160.6 13734.648 1E-16 292.415 0.6 1E-160.6 13971.453 1E-16 292.711 0.6 1E-160.6 14208.257 1E-16 290.993 0.6 1E-160.6 14445.061 1E-16 291.209 0.6 1E-160.6 14681.865 1E-16 291.493 0.6 1E-160.6 14918.67 1E-16 290.936 0.6 1E-160.6 15155.474 1E-16 291.447 0.6 1E-160.6 15392.278 1E-16 292.394 0.6 1E-16

PANEL INPUT FLOW & TEMPERATURE COLLECTOR HEAT LOSS

285.192 284.372 0.6 285.192 0.6 0.4 815.5902285.376 284.503 0.6 285.376 0.6 0.4 828.0234285.135 284.645 0.6 285.135 0.6 0.4 840.3653285.616 284.766 0.6 285.616 0.6 0.4 850.3512285.966 284.921 0.6 285.966 0.6 0.4 858.6886286.006 285.074 0.6 286.006 0.6 0.4 872.1565286.348 285.199 0.6 286.348 0.6 0.4 889.8864286.972 285.298 0.6 286.972 0.6 0.4 902.0194286.342 285.584 0.6 286.342 0.6 0.4 910.8416287.122 285.712 0.6 287.122 0.6 0.4 917.1973287.297 285.91 0.6 287.297 0.6 0.4 926.8574287.101 286.141 0.6 287.101 0.6 0.4 938.8446287.792 286.264 0.6 287.792 0.6 0.4 944.7749286.941 286.438 0.6 286.941 0.6 0.4 951.8691287.015 286.468 0.6 287.015 0.6 0.4 963.9649287.642 286.601 0.6 287.642 0.6 0.4 966.0604287.294 286.777 0.6 287.294 0.6 0.4 977.232287.265 286.928 0.6 287.265 0.6 0.4 982.9378287.883 287.112 0.6 287.883 0.6 0.4 988.2953287.911 287.216 0.6 287.911 0.6 0.4 989.4039287.927 287.373 0.6 287.927 0.6 0.4 994.1275288.104 287.446 0.6 288.104 0.6 0.4 996.4755287.986 287.635 0.6 287.986 0.6 0.4 997.9636288.732 288.202 0.6 288.732 0.6 0.4 1006.388288.327 288.7 0.6 288.327 0.6 0.4 1015.632288.332 289.257 0.6 288.332 0.6 0.4 1017.229288.704 289.539 0.6 288.704 0.6 0.4 1012.185288.056 289.966 0.6 288.056 0.6 0.4 1010.051289.39 290.105 0.6 289.39 0.6 0.4 1021.261

289.917 290.586 0.6 289.917 0.6 0.4 1027.79287.648 290.987 0.6 287.648 0.6 0.4 1020.633288.919 291.137 0.6 288.919 0.6 0.4 1020.984289.249 291.91 0.6 289.249 0.6 0.4 1026.539289.023 292.123 0.6 289.023 0.6 0.4 1021.021288.778 292.161 0.6 288.778 0.6 0.4 1020.824288.516 292.138 0.6 288.516 0.6 0.4 1020.469289.342 292.654 0.6 289.342 0.6 0.4 1019.151290.926 293.193 0.6 290.926 0.6 0.4 1022.025289.187 293.454 0.6 289.187 0.6 0.4 1016.452290.741 294.508 0.6 290.741 0.6 0.4 1012.893

Ambient Temperature

(K)

Temperature - System

Input Water (K)

Velocity of Air Perpendicular to Pipe Wall

(m/s)

Ambient Temperature

(K)

Wind Speed Across Panel (m/s)

Relative Humidity

Insolation in the

Plane of the Panel (W/m^2)

290.722 295.211 0.6 290.722 0.6 0.4 1008.326291.263 296.026 0.6 291.263 0.6 0.4 1010.457290.542 296.458 0.6 290.542 0.6 0.4 1000.844290.09 296.578 0.6 290.09 0.6 0.4 1003.246

289.939 297.016 0.6 289.939 0.6 0.4 992.9557289.853 297.304 0.6 289.853 0.6 0.4 984.2167290.328 297.333 0.6 290.328 0.6 0.4 980.8373290.002 297.407 0.6 290.002 0.6 0.4 974.7384289.406 297.67 0.6 289.406 0.6 0.4 970.907289.911 297.75 0.6 289.911 0.6 0.4 962.1392289.732 297.698 0.6 289.732 0.6 0.4 956.2547290.451 297.776 0.6 290.451 0.6 0.4 948.9567290.785 297.863 0.6 290.785 0.6 0.4 940.7857291.321 298.114 0.6 291.321 0.6 0.4 934.8639290.47 298.248 0.6 290.47 0.6 0.4 924.6484

291.368 298.445 0.6 291.368 0.6 0.4 921.9763290.644 298.383 0.6 290.644 0.6 0.4 913.9772291.329 298.618 0.6 291.329 0.6 0.4 903.035292.415 298.812 0.6 292.415 0.6 0.4 896.4154292.711 299.133 0.6 292.711 0.6 0.4 890.7902290.993 299.164 0.6 290.993 0.6 0.4 871.7046291.209 299.048 0.6 291.209 0.6 0.4 859.4718291.493 299.101 0.6 291.493 0.6 0.4 852.4854290.936 299.174 0.6 290.936 0.6 0.4 840.2729291.447 299.246 0.6 291.447 0.6 0.4 830.9366292.394 299.558 0.6 292.394 0.6 0.4 829.2607

0 285.1920 285.3760 285.1350 285.6160 285.9660 286.0060 286.3480 286.9720 286.3420 287.1220 287.2970 287.1010 287.7920 286.9410 287.0150 287.6420 287.2940 287.2650 287.8830 287.9110 287.9270 288.1040 287.9860 288.7320 288.3270 288.3320 288.7040 288.0560 289.390 289.9170 287.6480 288.9190 289.2490 289.0230 288.7780 288.5160 289.3420 290.9260 289.1870 290.741

COLLECTOR PANEL

ANALYSISTHERMOSIPHON PRESSURE

SYSTEM FLOW RATE

Angle of Incidence (degrees)

Ambient Temperature (K)

0 290.7220 291.2630 290.5420 290.090 289.9390 289.8530 290.3280 290.0020 289.4060 289.9110 289.7320 290.4510 290.7850 291.3210 290.470 291.3680 290.6440 291.3290 292.4150 292.7110 290.9930 291.2090 291.4930 290.9360 291.4470 292.394

MOODY FRICTIO

N FACTOR

INITIAL STATUS

TANK INPUT TEMPERATURETemperature - Panel Output (K) 307

Volumetric Flow Rate - Panel Output (m^3/s) 2.40E-05

TANK ANALYSISVolumetric Flow Rate - Tank Siphon Output (m^3/s) 2.40E-05

Specific Energy1_initial (J/kg) 1278126.4993Specific Energy2_initial (J/kg) 1261870.4551Specific Energy3_initial (J/kg) 1249826.532Specific Energy4_initial (J/kg) 1245840.7898Specific Energy5_initial (J/kg) 1230045.4545Specific Energy6_initial (J/kg) 1237913.3713

Initial Time Step's Tank Surface Temperature (K) 305

PANEL INPUT FLOW & TEMPERATUREVolumetric Flow Rate - Thermosiphon Effect (m^3/s) 2.40E-05

COLLECTOR HEAT LOSSTemperature - Absorber Plate Average (K) 328

COLLECTOR PANEL ANALYSIS

THERMOSIPHON PRESSURETank Temperature 1 (K) 306Tank Temperature 2 (K) 302Tank Temperature 3 (K) 299Tank Temperature 4 (K) 298Tank Temperature 5 (K) 294Tank Temperature 6 (K) 296

SYSTEM FLOW - FLOW RATE

MOODY FRICTION FACTOR

INPUTSAmbient Temperature (K) 285.192

Velocity of Air Perpendicular to Pipe (m/s) 0.6Temperature - Panel Output (K) 307

Volumetric Flow Rate - Panel Output (m^3/s) 0.000024

PARAMETERSPipe Inner Diameter - Panel Output to Tank Input (m) 0.022225

Pipe Length - Panel Output to Tank Input (m) 1.4478Pipe Wall Thickness - Panel Output to Tank Input (m) 0.003175

Pipe Insulation Thickness - Panel Output to Tank Input (m) 0.009525Pipe Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.137

Insulation Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.035

OUTPUTTank Input Temperature (K) 306.71199594

CALCULATIONSPipe Outer Diameter (m) 0.047625

Wetted Area (m^2) 0.1010881421Radius (m) 0.0111125

Velocity of Water (m/s) 0.0618639749Tank Input Temperature (K) 306.71199594 eq. 8.24b assumes air temperature is constant

Average Water Temperature (K) 306.85599797Density of Water (kg/m^3) 996.34871169 based on avg water temp

Mass Flow Rate (kg/s) 0.0239123691Specific Heat of Water (J/kg*K) 4176.6622236 based on avg water temp

Prantl Number of Water 4.8963319888 based on avg water tempThermal Conductivity of Water (W/m*K) 0.6180693023 based on avg water temp

Kinematic Viscosity (m^2/s) 7.349148E-07 based on avg water tempReynolds Number of Water 1870.8655094

Nusselt Number of Water 3.66 eq.8.60 assumes ambient temp is less than avg water temp, fully developed flowPipe Coefficient of Convection of Water (W/m^2*K) 101.78329117 definition of Nusselt Number

Thermal Conductivity of Air (W/m*K) 0.0251646405Film Temperature (K) 285.54205459

Prandtl Number at Film Temperature 0.7112806291Kinematic viscosity of Air at Film Temperature (m^2/s) 1.453833E-05

Reynolds Number at Film Temperature 1965.4933139Nusselt Number on Pipe Walls 24.85778402 Eqn. 9.34, Eqn. 7.57

Pipe Insulation to Air Coefficient of Convection (W/m^2*K) 13.134639339Thermal Resistance - Convection Inner Pipe Wall (K/W) 0.0971903835

Thermal Resistance - Conduction through Pipe Wall (K/W) 0.2016547308Thermal Resistance - Conduction through Pipe Insulation (K/W) 1.6044130618

Thermal Resistance - Convection off of Pipe Insulation (K/W) 1.1041759586Combined Thermal Resistance (K/W) 3.0074341346

Rate of Heat Transfer Loss Through Convection in Tank (W) 7.203482104Temperature at Insulation & Air Interface 285.89210919

Operating ConditionsOther Sub-System OutputsParametersOutputs

assumes air temperature is constant

based on avg water temp

based on avg water tempbased on avg water tempbased on avg water tempbased on avg water temp

assumes ambient temp is less than avg water temp, fully developed flowdefinition of Nusselt Number

INPUTSAmbient Temperature (K) 285.192Velocity of Air Perpendicular to Pipe (m/s) 0.6Temperature - Panel Output (K) 307Volumetric Flow Rate - Panel Output (m^3/s) 0.000024

PARAMETERSPipe Inner Diameter - Panel Output to Tank Input (m) 0.022225Pipe Length - Panel Output to Tank Input (m) 1.4478Pipe Wall Thickness - Panel Output to Tank Input (m) 0.003175Pipe Insulation Thickness - Panel Output to Tank Input (m) 0.009525Pipe Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.137Insulation Thermal Conductivity - Panel Output to Tank Input (W/m*K) 0.035

OUTPUTTank Input Temperature (K) 306.712

CALCULATIONSPipe Outer Diameter (m) 0.047625Wetted Area (m^2) 0.101088Radius (m) 0.011113Velocity of Water (m/s) 0.061864Tank Input Temperature (K) 306.712 eq. 8.24b assumes air temperature is constantAverage Water Temperature (K) 306.856Density of Water (kg/m^3) 996.3487 based on avg water tempMass Flow Rate (kg/s) 0.023912Specific Heat of Water (J/kg*K) 4176.662 based on avg water tempPrantl Number of Water 4.896332 based on avg water tempThermal Conductivity of Water (W/m*K) 0.618069 based on avg water tempKinematic Viscosity (m^2/s) 7.35E-07 based on avg water tempReynolds Number of Water 1870.866Nusselt Number of Water 3.66 eq.8.60 assumes ambient temp is less than avg water temp, fully developed flowPipe Coefficient of Convection of Water (W/m^2*K) 101.7833 definition of Nusselt NumberThermal Conductivity of Air (W/m*K) 0.025165Film Temperature (K) 285.5421Prandtl Number at Film Temperature 0.711281Kinematic viscosity of Air at Film Temperature (m^2/s) 1.45E-05Reynolds Number at Film Temperature 1965.493Nusselt Number on Pipe Walls 24.85778 Eqn. 9.34, Eqn. 7.57Pipe Insulation to Air Coefficient of Convection (W/m^2*K) 13.13464Thermal Resistance - Convection Inner Pipe Wall (K/W) 0.09719Thermal Resistance - Conduction through Pipe Wall (K/W) 0.201655Thermal Resistance - Conduction through Pipe Insulation (K/W) 1.604413Thermal Resistance - Convection off of Pipe Insulation (K/W) 1.104176Combined Thermal Resistance (K/W) 3.007434Rate of Heat Transfer Loss Through Convection in Tank (W) 7.203482Temperature at Insulation & Air Interface 285.8921


based on avg water temp

based on avg water tempbased on avg water tempbased on avg water tempbased on avg water temp


INPUTSTime (sec) 0

Volumetric Flow Rate - Tank Output (m^3/s) 1E-16Ambient Air Temperature (K) 285.192

Velocity of Air Perpendicular to Tank Cylinder Walls (m/s) 0.6Gravity (m/s^2) 9.81

System Time Step (sec) 236.8043Temperature - Tank Input (K) 306.712

Volumetric Flow Rate - Tank Input (m^3/s) 2.95E-05Volumetric Flow Rate - Tank Siphon Output (m^3/s) 0.000024

Previous Specific Energy - Partition 1 (J/kg) 1278126Previous Specific Energy - Partition 2 (J/kg) 1261870Previous Specific Energy - Partition 3 (J/kg) 1249827Previous Specific Energy - Partition 4 (J/kg) 1245841Previous Specific Energy - Partition 5 (J/kg) 1230045Previous Specific Energy - Partition 6 (J/kg) 1237913

Previous Time Step's Tank Surface Temperature (K) 305

PARAMETERSTank Inner Diameter (m) 0.479425




OUTPUTSNext Time (sec) 236.8043

Specific Energy - Partition 1 (J/kg) 1278475 Specific Energy - Partition 2 (J/kg) 1264767 Specific Energy - Partition 3 (J/kg) 1251819 Specific Energy - Partition 4 (J/kg) 1248233 Specific Energy - Partition 5 (J/kg) 1230276 Specific Energy - Partition 6 (J/kg) 1240294

Current Tank Surface Temperature (K) 287.4615 Temeperature - Partition 1 (K) 306.0971

(Temperature - Tank Output Water) Temeperature - Partition 2 (K) 302.815 Temeperature - Partition 3 (K) 299.7151 Temeperature - Partition 4 (K) 298.8565 Temeperature - Partition 5 (K) 294.5571

Temperature - Tank Siphon Output Water) Temeperature - Partition 6 (K) 296.9557Temperature - Tank Average (K) 299.7646

Tank Variable - H1 (m) 0.159808Tank Variable - H2 (m) 0.159808Tank Variable - H3 (m) 0.159808

Volume of Partition 1 (m^3) 0.0194Volume of Partition 2 (m^3) 0.0194Volume of Partition 3 (m^3) 0.027686Volume of Partition 4 (m^3) 0.027686Volume of Partition 5 (m^3) 0.0194

Volume of Partition 6 (m^3) 0.0194n (integer for tank time step) 1

CALCULATIONSTANK SYSTEM VARIABLES

H1 (m) 0.159808H2 (m) 0.159808H3 (m) 0.159808L1 (m) 0.3683L2 (m) 0.3683

Ratio Vol Partition 1 to Flow Rate into Partition 1 (s) 657.3098Ratio Vol Partition 2 to Flow Rate into Partition 2 (s) 1100.624Ratio Vol Partition 3 to Flow Rate into Partition 3 (s) 2328.915Ratio Vol Partition 4 to Flow Rate into Partition 4 (s) 1050.148Ratio Vol Partition 5 to Flow Rate into Partition 5 (s) 6157.78Ratio Vol Partition 6 to Flow Rate into Partition 6 (s) 657.3098

n (integer for tank time step) 1Tank Time Step (s) 236.8043

Next Time (s) 236.8043Q2/Q3 4.17E-12

Specific Heat (J/kg*K) 4176.697Specific EnergyIN (J/kg) 1281043

Volume of Tank (m^3) 0.132973

Geometryradius (m) 0.239713y top (m) 0.079904

angle top (rad) 2.461919x top (m) 0.226003

Area of Top Sector (m^2) 0.070733Area of Top Triangle (m^2) 0.018059

Area of Top Cross-Section (m^2) 0.052675y bottom (m) 0.079904

angle bottom (rad) 2.461919x bottom (m) 0.226003

Area of Bottom Sector (m^2) 0.070733Area of Bottom Triangle (m^2) 0.018059

Area of Bottom Cross-Section (m^2) 0.052675Area of Central Cross-Section (m^2) 0.075173

Volume of Partition 1 (m^3) 0.0194Volume of Partition 2 (m^3) 0.0194Volume of Partition 3 (m^3) 0.027686Volume of Partition 4 (m^3) 0.027686Volume of Partition 5 (m^3) 0.0194Volume of Partition 6 (m^3) 0.0194

Density 1 (kg/m^3) 996.5805Density 2 (kg/m^3) 997.5356Density 3 (kg/m^3) 998.3667Density 4 (kg/m^3) 998.5848

Density 5 (kg/m^3) 999.5971Density 6 (kg/m^3) 999.0487

Tank Outer Diameter Including Insulation (m) 0.571501Cylinder Wall Surface Area (m^2) 1.487824

ConvectionTemperature - Tank Average Tank (K) 299.7646

Volumetric thermal expansion coef. of Air (K^(-1)) 0.003506Kinematic viscosity of Air (m^2/s) 1.45E-05Thermal Diffusivity of Air (m^2/s) 2.05E-05

Prandtl Number 0.711357Thermal Conductivity of Air (W/m*K) 0.025165

Rayleigh Number (cylinder walls) 4.28E+08Film Temperature (K) 286.3268

Prandtl Number at Film Temperature 0.711109Kinematic viscosity of Air at Film Temperature (m^2/s) 1.46E-05Reynolds Number at Film Temperature (cylinder walls) 23469.62

Nusselt Number on Tank Exterior (cylinder walls) 95.81141Coefficient of Convection from Tank to Air (cylinder walls) (W/m^2*K) 4.21882

Characteristic Length (cylinder bases) (m) 0.448856Reynolds Number (cylinder bases) 18433Rayleigh Number (cylinder bases) 2.07E+08

Nusselt Number on Tank Exterior (cylinder bases) 80.47519Coefficient of Convection from Tank to Air (cylinder bases) (W/m^2*K) 4.511758

Current Tank Surface Temperature (K) 287.4615Thermal Resistance through Tank Cylinder Wall (cylinder walls) (K/W) 0.040536

Thermal Resistance through Tank Insulation (cylinder walls) (K/W) 0.755771Thermal Resistance through Convection (cylinder walls) (K/W) 0.159315

Thermal Resistance through Tank Base Wall (cylinder bases) (K/W) 0.059959Thermal Resistance through Tank Base Insulation (cylinder bases) (K/W) 3.62358

Thermal Resistance through Convection (cylinder bases) (K/W) 0.432016Combined Thermal Resistance though Tank & Insulation (K/W) 0.775543

Rate of Heat Transfer Loss Through Convection in Tank (W) -18.7902Energy Loss per Tank Time Step (J) -4449.59

Rate of Heat Transfer through Cylinder Walls only (W) 5.47854

make these not operating conditions but inputs from other sources Operating ConditionsOther Sub-System OutputsParametersOutputs

must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30

Temperatures (K)306.712

Specific Energy (J/kg)

1281043

assume ideal gas, Eqn 9.9refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"Definition of Rayleigh Number, abs value is necessary for calculationEqn 7.2refer to Excel File: "Eqn Thermal Diffusivity Air"

Eqn. 9.34, Eqn. 7.57Definition of Nusselt NumberAverage Height of Cylinder Base

Definition of Rayleigh Number, abs value is necessary for calculationEqn. 9.26, 7.31, 7.44, 7.41Definition of Nusselt Number

Specific Energy (J/kg) - Conduction

Flow CalculationsQ1

Flow (m^3/s)2.95E-05

T1: e1_prev

Relationship

Q2 << Q6Q2 >> Q6Q2 ≈ Q6 0.1

T3: e3_prev

Relationship

Q2 << Q6Q2 >> Q6Q2 ≈ Q6 0.1

T5: e5_prev

Relationship

Q2 << Q6Q2 >> Q6Q2 ≈ Q6 0.1

Temperatures (K)

306.097063363423

299.715111899384

294.557052558006

Specific Energy (J/kg) previous + fluid flow effects + conduction effects + convection effects

1278474.74242604

1251819.26372099

1230275.61179756

Specific Energy (J/kg) - Conductionk (W/m*K) 0.614218

k (W/m*K) A (m^2) delta T (K) deltax (m) delta E (J) A (m^2) 0.05267490.6116136 0.166474 6.3819515 0.1598083 962.86834 delta E (J) 68.274664 -->

| delta T (K) 3.2820521V delta x (m) 0.3683

k (W/m*K) 0.605617A (m^2) 0.0751727delta E (J) 25.132071 -->delta T (K) 0.8585834delta x (m) 0.3683

k (W/m*K) A (m^2) delta T (K) deltax (m) delta E (J)0.6018114 0.166474 5.1580593 0.1598083 765.74301

|V

k (W/m*K) 0.5994134A (m^2) 0.0526749delta E (J) -48.695414 -->delta T (K) -2.3986676delta x (m) 0.3683

Flow Calculations

Q1 - a*Q1 a*Q1 -->|V

c*(Q1-a*Q1) -->

Q1 - a*Q1 - c*(Q1-a*Q1)|V

Q1 - a*Q1 - c*(Q1-a*Q1) -->

Flow (m^3/s)

40.28% 1.1888E-05 59.72% 1.763E-05 -->|V

29.60% 8.737E-06 -->

10.67% 3.1505E-06|V

10.67% 3.151E-06 -->

1278126.5

Relationship delta Vol. e1a b c delta Vol. Correlation Calculation

Q2/Q3 < 0.1 0.5972155 5.6733E-12 0.7349833 0.0069892e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1279177.3Q2/Q3 > 10 0.3355601 1.0097E-11 0.6291457 0.0069892e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1279177.3

> Q2/Q3 > 10 0.5972155 5.6733E-12 0.75 0.0069892e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1279177.3

1249826.5




1230045.5




302.815011288119

298.85652849589

296.955720148997

1264766.60476704

1248233.22083782

1240294.11996899

k (W/m*K) A (m^2) delta E (J) delta T (K) deltax (m)0.608221 0.1664739 593.9183295169 3.9584827922 0.1598083333

|V

k (W/m*K) A (m^2) delta E (J) delta T (K) deltax (m)0.603219 0.0588574 100.0010543347 1.9008083469 0.1598083333

|V

a*b*Q1 -->

a*Q1 - a*b*Q1|V

a*Q1-a*b*Q1+c*(Q1-a*Q1)|V

Q1-a*b*Q1 -->

0.00% 1E-16 -->

59.72% 1.7626515E-05|V

89.33% 2.63639813E-05|V

100.00% 2.951449E-05 -->

T2: e2_prev 1261870

Relationship delta Vol.a b c delta Vol.

Q2 << Q6 Q2/Q3 < 0.1 0.597215546509 5.673271E-12 0.7349832942 0.004174Q2 >> Q6 Q2/Q3 > 10 0.33556011666 1.009705E-11 0.6291456998 0.004174Q2 ≈ Q6 0.1 > Q2/Q3 > 10 0.597215546508 5.673271E-12 0.75 0.004174

T4: e4_prev 1245841



T6: e6_prev 1237913



302.815

296.9557

1264767 System Energy166202140

1240294

Q2

Q6

1E-16

0.000024

e2CorrelationCalculation

e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1265443e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1265443e_in*(delta Vol)/Vol + e_prev*(Vol-deltaVol)/Vol1265443





INPUTSTime (sec) 0

Volumetric Flow Rate - Tank Output (m^3/s) 1E-16Ambient Air Temperature (K) 285.192

Velocity of Air Perpendicular to Tank Cylinder Walls (m/s) 0.6Gravity (m/s^2) 9.81

System Time Step (sec) 236.8043Temperature - Tank Input (K) 306.712

Volumetric Flow Rate - Tank Input (m^3/s) 2.95E-05Volumetric Flow Rate - Tank Siphon Output (m^3/s) 0.000024

Previous Specific Energy - Partition 1 (J/kg) 1278126Previous Specific Energy - Partition 2 (J/kg) 1261870Previous Specific Energy - Partition 3 (J/kg) 1249827Previous Specific Energy - Partition 4 (J/kg) 1245841Previous Specific Energy - Partition 5 (J/kg) 1230045

Previous Specific Energy - Partition 6 (J/kg) 1237913Previous Time Step's Tank Surface Temperature (K) 305

PARAMETERSTank Inner Diameter (m) 0.479425




OUTPUTSNext Time (sec) 236.8043

Specific Energy - Partition 1 (J/kg) 1278475 Specific Energy - Partition 2 (J/kg) 1264767 Specific Energy - Partition 3 (J/kg) 1251820 Specific Energy - Partition 4 (J/kg) 1248234 Specific Energy - Partition 5 (J/kg) 1230276 Specific Energy - Partition 6 (J/kg) 1240298

Current Tank Surface Temperature (K) 287.4684 Temeperature - Partition 1 (K) 306.0976

(Temperature - Tank Output Water) Temeperature - Partition 2 (K) 302.8153 Temeperature - Partition 3 (K) 299.716 Temeperature - Partition 4 (K) 298.8591 Temeperature - Partition 5 (K) 294.558

Temperature - Tank Siphon Output Water) Temeperature - Partition 6 (K) 296.9487Temperature - Tank Average (K) 299.7645



n (integer for tank time step) 1

CALCULATIONSTANK SYSTEM VARIABLES

H1 (m) 0.159808H2 (m) 0.159808H3 (m) 0.159808L1 (m) 0.3683L2 (m) 0.3683

Ratio Vol Partition 1 to Flow Rate into Partition 1 (s) 657.3098Ratio Vol Partition 2 to Flow Rate into Partition 2 (s) 1100.624Ratio Vol Partition 3 to Flow Rate into Partition 3 (s) 2328.915Ratio Vol Partition 4 to Flow Rate into Partition 4 (s) 1050.148Ratio Vol Partition 5 to Flow Rate into Partition 5 (s) 6157.78Ratio Vol Partition 6 to Flow Rate into Partition 6 (s) 657.3098

n (integer for tank time step) 1Tank Time Step (s) 236.8043

Next Time (s) 236.8043Q2/Q3 4.17E-12

Specific Heat (J/kg*K) 4176.697Specific EnergyIN (J/kg) 1281043

Volume of Tank (m^3) 0.132973

Geometryradius (m) 0.239713y top (m) 0.079904

angle top (rad) 2.461919x top (m) 0.226003

Area of Top Sector (m^2) 0.070733Area of Top Triangle (m^2) 0.018059

Area of Top Cross-Section (m^2) 0.052675y bottom (m) 0.079904

angle bottom (rad) 2.461919x bottom (m) 0.226003

Area of Bottom Sector (m^2) 0.070733Area of Bottom Triangle (m^2) 0.018059

Area of Bottom Cross-Section (m^2) 0.052675Area of Central Cross-Section (m^2) 0.075173


Density 1 (kg/m^3) 996.5805Density 2 (kg/m^3) 997.5355Density 3 (kg/m^3) 998.3667Density 4 (kg/m^3) 998.5847Density 5 (kg/m^3) 999.5971Density 6 (kg/m^3) 999.0484

Tank Outer Diameter Including Insulation (m) 0.571501Cylinder Wall Surface Area (m^2) 1.487824

ConvectionTemperature - Tank Average Tank (K) 299.7649

Volumetric thermal expansion coef. of Air (K^(-1)) 0.003506Kinematic viscosity of Air (m^2/s) 1.45E-05Thermal Diffusivity of Air (m^2/s) 2.05E-05

Prandtl Number 0.711357Thermal Conductivity of Air (W/m*K) 0.025165

Rayleigh Number (cylinder walls) 4.28E+08Film Temperature (K) 286.3302

Prandtl Number at Film Temperature 0.711108Kinematic viscosity of Air at Film Temperature (m^2/s) 1.46E-05Reynolds Number at Film Temperature (cylinder walls) 23469.11

Nusselt Number on Tank Exterior (cylinder walls) 95.81016Coefficient of Convection from Tank to Air (cylinder walls) (W/m^2*K) 4.218765

Characteristic Length (cylinder bases) (m) 0.448856Reynolds Number (cylinder bases) 18432.6Rayleigh Number (cylinder bases) 2.07E+08

Nusselt Number on Tank Exterior (cylinder bases) 80.47432Coefficient of Convection from Tank to Air (cylinder bases) (W/m^2*K) 4.51171

Current Tank Surface Temperature (K) 287.462Thermal Resistance through Tank Cylinder Wall (cylinder walls) (K/W) 0.040536

Thermal Resistance through Tank Insulation (cylinder walls) (K/W) 0.755771Thermal Resistance through Convection (cylinder walls) (K/W) 0.159317

Thermal Resistance through Tank Base Wall (cylinder bases) (K/W) 0.059959Thermal Resistance through Tank Base Insulation (cylinder bases) (K/W) 3.62358Thermal Resistance through Convection (cylinder bases) (K/W) 0.432021Combined Thermal Resistance though Tank & Insulation (K/W) 0.775544Rate of Heat Transfer Loss Through Convection in Tank (W) -18.7905Energy Loss per Tank Time Step (J) -4449.67Rate of Heat Transfer through Cylinder Walls only (W) 5.478232

make these not operating conditions but inputs from other sources

must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30must be the Tank Diameter divided by a factor of 30

assume ideal gas, Eqn 9.9refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"refer to Excel File: "Eqn Thermal Diffusivity Air"Definition of Rayleigh Number, abs value is necessary for calculationEqn 7.2refer to Excel File: "Eqn Thermal Diffusivity Air"

Eqn. 9.34, Eqn. 7.57Definition of Nusselt NumberAverage Height of Cylinder Base

Definition of Rayleigh Number, abs value is necessary for calculationEqn. 9.26, 7.31, 7.44, 7.41Definition of Nusselt Number

INPUTSVolumetric Flow Rate - Tank Output (m^3/s) 1E-16

Ambient Temperature (K) 285.192Temperature - System Input Water (K) 284.372

Velocity of Air Perpendicular to Pipe Wall (m/s) 0.6Volumetric Flow Rate - Thermosiphon Effect (m^3/s) 0.000024

Temperature - Tank Siphon Output (K) 296.94874758

PARAMETERSPipe Inner Diameter - System Input to Panel Input (m) 0.026238Pipe Length - Tank Siphon Output to Panel Input (m) 0.9

Pipe Wall Thickness - System Input to Panel Input (m) 0.003581Pipe Insulation Thickness - System Input to Panel Input (m) 0.0027

Pipe Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035Insulation Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035

Number of Vertical Array Pipes 6OUTPUTS

Temperature - Panel Input Water (K) 296.82420628Volumetric Flow Rate - Panel Input (m^3/s) 2.40E-05

Temperature - System Input Mixed Water (K) 296.94874758Volumetric Flow Rate - Tank Siphon Output (m^3/s) 2.40E-05

Volumetric Flow Rate - Vertical Array Pipe (m^3/s) 4E-06


Wetted Area (m^2) 0.0741861972Volumetric Flow Rate - Panel Input (m^3/s) 2.4E-05

Temperature - System Input Mixed (K) 296.94874758Radius (m) 0.013119

Velocity of Water - Panel Input (m/s) 0.0443874202Temperature - Panel Input (K) 296.82420628

Average Water Temperature (K) 296.88647693Density of Water (kg/m^3) 999.06506508

Specific Heat of Water (J/kg*K) 4181.4630002Prantl Number of Water 6.2978778405

Thermal Conductivity of Water (W/m*K) 0.6014367083Kinematic Viscosity of Water (m^2/s) 9.150686E-07

Reynolds Number of Water 1272.7320041Nusselt Number of Water 3.66

Pipe Coefficient of Convection of Water (W/m^2*K) 83.89581342Thermal Conductivity of Air (W/m*K) 0.0251646405

Film Temperature (K) 288.01104086Prandtl Number of Air at Film Temperature 0.710742062

Kinematic viscosity of Air at Film Temperature (m^2/s) 1.47656E-05Reynolds Number at Film Temperature 1576.6375811

Nusselt Number on Pipe Walls 22.19156092Pipe Insulation to Air Coefficient of Convection (W/m^2*K) 14.392851874

Thermal Resistance - Convection Inner Pipe Wall (K/W) 0.1606706686Thermal Resistance - Conduction through Pipe Wall (K/W) 1.2194156587

Thermal Resistance - Conduction through Pipe Insulation (K/W) 0.7571952877Thermal Resistance - Convection off of Pipe Insulation (K/W) 1.9896601839

Combined Thermal Resistance (K/W) 4.1269417989Rate of Heat Transfer Loss Through Convection in Tank (W) 2.8336907802

Temperature at Insulation & Air Interface 290.83008172

Mass Flow Rate - Panel Input (kg/s) 0.0239775616Volumetric Flow Rate - Vertical Array Pipe (m^3/s) 4E-06


assumes pipe inner diameter of system input to panel input = pipe inner diameter of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes water temp between Tank Siphon Output and System Input = temp between System Input and Panel Input for purposes of Heat loss in pipe from Tank Siphon Out to Panel Inputassumes pipe wall thickness of system input to panel input = pipe wall thickness of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes pipe insulation thickness diameter of system input to panel input = pipe insulation thickness of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes pipe thermal conductivity of system input to panel input = pipe thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes insulation thermal conductivity of system input to panel input = insulation thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel input

eq. 8.24b assumes air temperature is constant

based on avg water tempbased on avg water tempbased on avg water tempbased on avg water tempbased on avg water temp

eq.8.60 assumes ambient temp is less than avg water temp, fully developed flowdefinition of Nusselt Number

Eqn. 9.34, Eqn. 7.57

Negative Number denotes Energy into water from Ambient temperature


assumes ambient temp is less than avg water temp, fully developed flow

assumes pipe insulation thickness diameter of system input to panel input = pipe insulation thickness of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes pipe thermal conductivity of system input to panel input = pipe thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputassumes insulation thermal conductivity of system input to panel input = insulation thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel input

INPUTSVolumetric Flow Rate - Tank Output (m^3/s) 1E-16

Ambient Temperature (K) 285.192Temperature - System Input Water (K) 284.372

Velocity of Air Perpendicular to Pipe Wall (m/s) 0.6Volumetric Flow Rate - Thermosiphon Effect (m^3/s) 0.000024

Temperature - Tank Siphon Output (K) 296.9487

PARAMETERSPipe Inner Diameter - System Input to Panel Input (m) 0.026238 assumes pipe inner diameter of system input to panel input = pipe inner diameter of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputPipe Length - Tank Siphon Output to Panel Input (m) 0.9 assumes water temp between Tank Siphon Output and System Input = temp between System Input and Panel Input for purposes of Heat loss in pipe from Tank Siphon Out to Panel Input

Pipe Wall Thickness - System Input to Panel Input (m) 0.003581 assumes pipe wall thickness of system input to panel input = pipe wall thickness of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputPipe Insulation Thickness - System Input to Panel Input (m) 0.0027 assumes pipe insulation thickness diameter of system input to panel input = pipe insulation thickness of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel input

Pipe Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035 assumes pipe thermal conductivity of system input to panel input = pipe thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel inputInsulation Thermal Conductivity - System Input to Panel Input (W/m*K) 0.035 assumes insulation thermal conductivity of system input to panel input = insulation thermal conductivity of tank siphon output to system input for purposes of heat loss in pipe from tank siphon output to panel input

Number of Vertical Array Pipes 6OUTPUTS

Temperature - Panel Input Water (K) 296.8242Volumetric Flow Rate - Panel Input (m^3/s) 2.4E-05

Temperature - System Input Mixed Water (K) 296.9487Volumetric Flow Rate - Tank Siphon Output (m^3/s) 2.4E-05

Volumetric Flow Rate - Vertical Array Pipe (m^3/s) 4E-06


Wetted Area (m^2) 0.074186Volumetric Flow Rate - Panel Input (m^3/s) 2.4E-05

Temperature - System Input Mixed (K) 296.9487Radius (m) 0.013119

Velocity of Water - Panel Input (m/s) 0.044387Temperature - Panel Input (K) 296.8242 eq. 8.24b

Average Water Temperature (K) 296.8865Density of Water (kg/m^3) 999.0651 based on avg water temp

Specific Heat of Water (J/kg*K) 4181.463 based on avg water tempPrantl Number of Water 6.297878 based on avg water temp

Thermal Conductivity of Water (W/m*K) 0.601437 based on avg water tempKinematic Viscosity of Water (m^2/s) 9.15E-07 based on avg water temp

Reynolds Number of Water 1272.732Nusselt Number of Water 3.66 eq.8.60

Pipe Coefficient of Convection of Water (W/m^2*K) 83.89581 definition of Nusselt NumberThermal Conductivity of Air (W/m*K) 0.025165

Film Temperature (K) 288.011Prandtl Number of Air at Film Temperature 0.710742

Kinematic viscosity of Air at Film Temperature (m^2/s) 1.48E-05Reynolds Number at Film Temperature 1576.638

Nusselt Number on Pipe Walls 22.19156 Eqn. 9.34, Eqn. 7.57Pipe Insulation to Air Coefficient of Convection (W/m^2*K) 14.39285

Thermal Resistance - Convection Inner Pipe Wall (K/W) 0.160671Thermal Resistance - Conduction through Pipe Wall (K/W) 1.219416

Thermal Resistance - Conduction through Pipe Insulation (K/W) 0.757195Thermal Resistance - Convection off of Pipe Insulation (K/W) 1.98966

Combined Thermal Resistance (K/W) 4.126942Rate of Heat Transfer Loss Through Convection in Tank (W) 2.833691 Negative Number denotes Energy into water from Ambient temperature

Temperature at Insulation & Air Interface 290.8301

Mass Flow Rate - Panel Input (kg/s) 0.023978Volumetric Flow Rate - Vertical Array Pipe (m^3/s) 4E-06



based on avg water tempbased on avg water tempbased on avg water tempbased on avg water tempbased on avg water temp


Eqn. 9.34, Eqn. 7.57

Negative Number denotes Energy into water from Ambient temperature

INPUTSAmbient Air Temperature (K) 285.192

Wind Speed Across Panel (m/s) 0.6Relative Humidity 0.4

Insolation (plane of panel) (W/m^2) 815.5902012Angle of Incidence (degrees) 0

Absorber Plate Temperature (K) 328

PARAMETERSPanel Length (m) 1.77165Panel Width (m) 1.16205

Number of Glass Cover Plates (unitless) 2Thickness of Bottom Plate (or single plate) (m) 5.08E-04

Thickness of Top Plate (m) 6.35E-0315) Relative Absorbitivty (m^-1) 0.7910) Glass Emissivity (decimal) 0.94

Index of Refraction 1.536) Glass Thermal Conductivity (W/m*K) 1.40

Glass Specific Heat (J/kg*K) 750Glass Gap Space (if more than 2 plates) (m) 0.0100

Absorber Plate/Cover Gap space (m) 0.04006) (black paint) Absorber Plate Absorbivity (decimal) 0.92

6) Absorber Plate Emmisivity (decimal) 0.10Panel Tilt Angle (degrees) 40.0

Thickness of Insulation (m) 0.08Bottom Insulation Thermal Conductivity (W/m*K) 0.038

Thickness of Bottom Board (m) 0.011Bottom Board Thermal Conductivity (W/m*K) 0.12

OUTPUTCollector Heat Transfer Loss Coefficient (W/m^2*K) Err:523

Insolation on Absorber Plate (W/m^2) 629.05

ASSUMPTIONS1) Eq. 9.25 (L=Gap space?)1) Ideal gass (thermal expansion)2) Eq. 9.54 (H/L > 12, angle < 70)3) Eq. 9.25 (L=panel length)4) Eq. 9.30 and 9.315) from: http://ciks.cbt.nist.gov/~bentz/nistir6551/node5.html (0.5 cloud cover constant)6) Apendix A (air properties included)7) Eq. 7.53b8) convection: free+ forced^(1/3) untill forced is greater9) Eq. 9.3210) from: http://x26.com/irpaper_emissivity.htm11) Glass plates are isothermal12) from: http://www.paroscientific.com/dewpoint.htm13) if Raleigh < 1708, convection does not occur14) Eq. 13.24 (diffuse, gray)15) transmissivity Apendix A, and reflectivity values

CALCULATIONSCollector Characteristic Length (m) 1.62

Ambient Air Temperature (deg C) 12.192

Absorber Plate Temperature (deg C) 55Average Temperature in Absorber Plate Air Space (K) 319.04

Absorber Plate Air Thermal Diffusivity (m^2/s) 2.59E-05Absorber Plate Air Kinematic Viscosity (m^/s) 1.82E-05

Absorber Plate Air Thermal Conductivity (W/m*K) 2.76E-021) Absorber Gap Raleigh # (unitless) 75008.61

Panel Tilt Angle (radians) 0.702) Absorber Gap Nussult # (unitless) 3.50

Absorber Plate Convection Coefficient, ha (W/m^2*K) 2.42Absorber Plate Air Space Thermal Resistance (K*m^2/W) 0.4135

Stefan-Boltzmann Constant (W/m^2*K^4) 5.6700E-0814) Absorber Plate Radiation Resistance (K*m^2/W) 1.3654

Absorber Plate Air Space Convection Heat Flux (W/m^2) 43.347014) Absorber Plate Radiation Heat Flux (W/m^2) Err:523

11)Bottom Glass Inner Surface Temperature (K) Err:523Bottom Glass Outer Surface Temperature (K) Err:523

Glass Air Gap Average Temperature (K) 301.7Absorber Plate Air Thermal Diffusivity (m^2/s) 2.32E-05Absorber Plate Air Kinematic Viscosity (m^/s) 1.63E-05Glass Air Gap Thermal Conductivity (W/m*K) 0.0263

1)Glass Gap Raleigh # (unitless) Err:5232) Absorber Gap Nussult # (unitless) Err:523

Absorber Plate Convection Coefficient, ha (W/m^2*K) Err:52313) Glass Air Gap Thermal Resistance (K*m^2/W) Err:523

Heat Transfer Mode Err:523Glass Gap Radiation Resistance (K*m^2/W) 0.1809Glass Gap Convection Heat Flux (W/m^2) Err:523

Glass Gap Radiation Heat Flux (W/m^2) Err:523Top Glass Inner Surface Temperature (K) Err:523Top Glass Outer Surface Temperature (K) Err:523

12) Dew Point, Td (K) 272.05) Sky Temperature 268.4

Top Plate Radiation Resistance (K*m^2/W) 0.21Top Surface Film Temperature (K) Err:523

Surface Air Thermal Diffusivity (m^2/s) 2.12E-05Surface Air Kinematic Viscosity (m^2/s) 1.50E-05

Surface Air Thermal Conductivity (W/m*K) Err:5233) RaleighL # (unitless) 3.43E+09

4) Nussult # (unitless) 226.30Ralegih # out of bounds no

ReynoldsL # (unitless) 6.48E+04Prandlt # (unitless) 0.71

7) Nussult # (unitless) 154.22

8)Top Surface Convection Coefficient, ha (W/m^2*K) 3.89Top Surface Convection Thermal Resistance (K*m^2/W) 0.2574

Bottom Insulation Thermal Resistance (K*m^2/W) 2.11E+00Bottom Board Thermal Resistance (K*m^2/W) 9.17E-02

Bottom Board Temperature (K) 285Bottom Surface Film Temperature (K) 285

Surface Air Thermal Diffusivity (m^2/s) 2.06E-05Surface Air Kinematic Viscosity (m^2/s) 1.46E-05

Surface Air Thermal Conductivity (W/m*K) 2.51E-02

3) RaleighL # (unitless) 1.78E+069) free Nussult # (unitless) 9.86E+00

Ralegih # out of bounds noReynoldsL # (unitless) 7.53E+00

Prandlt # (unitless) 0.717) Nussult # (unitless) 1.66

8)Bottom Surface Convection Coefficient, ha (W/m^2*K) 2.52E+01Bottom Surface Convection Thermal Resistance (K*m^2/W) 3.97E-02

Bottom Thermal Resistance (K*m^2/W) 2.2366

Top Heat Loss (W/m^2) Err:523Bottom Heat Loss (W/m^2) 19

Total Heat Loss (W) Err:523

Angle of Incidence (radians) 0.000Interface Reflectance 4.39%

Top Glass Reflected (W/m^2) 71.6Top Glass Absorbed (W/m^2) 4.1

Bottom Glass Reflected (W/m^2) 64.9Bottom Glass Absorbed (W/m^2) 0.3

Insolation On Absorber Plate (W/m^2) 629.0Total Heat Gain (W) 1230

Net Heat Gain (W) Err:523

Top Loss Coeficient (W/m^2*K) Err:523

For Convection off of top PlateCollector Characteristic Length (m) 1.6190357223

Grashof Number Err:523Reynolds Number 6.48E+04

Verification (about 1) Err:523

8)Top Surface Convection Coefficient, ha (W/m^2*K) Err:523Free Convection Only (W/m^2*K) Err:523

Combined Using Equation 9.64 (W/m^2*K) Err:523Forced Convection Only (W/m^2*K) Err:523

Radiation Convection Heat Gen. Temperature328.0 absorber plate

Err:523 43.3total Err:523 Err:523 bottom innernet Err:523 0.3total Err:523 Err:523 bottom outer

Err:523 Err:523total Err:523 Err:523 top innernet Err:523 4.4total Err:523 272.0 top outer

Err:523 29.4285.192 ambient

Radiation Heat Loss (W/m^2)Err:523

free convection should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???

forced convection

forced freeErr:523 Err:523 should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???

Convection Heat Loss (W/m^2) is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???29.44 also, where did you get the combination equation from - pg 568 eqn. 9.64 suggests otherwise with a coefficient of 3

bottom do you know what transverse flow is?

free convection

forced convection

forced free3.79E+00 2.25E+01

Err:523 Err:523

Reflected 0ff Bottom Glass5.7 Reflected Back0.3 Absorbed by Top

I changed this equation by multiplying it by the percent absorbed, then adding the product of the energy reflected times the percent reflected back off the bottom glass

Using this instead of Panel Length

Old Equation

New Equation

should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???

should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???also, where did you get the combination equation from - pg 568 eqn. 9.64 suggests otherwise with a coefficient of 3

is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???

INPUTSAmbient Ai 285.192Wind Speed 0.6 Operating ConditionsRelative Hu 0.4 Other Sub-System OutputsInsolation 815.5902 ParametersAngle of In 0 OutputsAbsorber P 328

PARAMETERSPanel Leng 1.77165Panel Widt 1.16205Number of G 2Thickness o0.000508Thickness o 0.0063515) Relativ 0.7910) Glass 0.94Index of Re 1.536) Glass T 1.4Glass Speci 750Glass Gap S 0.01Absorber P 0.046) (black 0.92 6) Absorbe 0.1Panel Tilt 40Thickness o 0.08Bottom Ins 0.038Thickness 0.011Bottom Boa 0.12

OUTPUTCollector H 0.829366Insolation 629.049

ASSUMPTIONS1) Eq. 9.25 (L=Gap space?)1) Ideal gass (thermal expansion)2) Eq. 9.54 (H/L > 12, angle < 70)3) Eq. 9.25 (L=panel length)4) Eq. 9.30 and 9.315) from: http://ciks.cbt.nist.gov/~bentz/nistir6551/node5.html (0.5 cloud cover constant)6) Apendix A (air properties included)7) Eq. 7.53b8) convection: free+ forced^(1/3) untill forced is greater9) Eq. 9.3210) from: http://x26.com/irpaper_emissivity.htm11) Glass plates are isothermal12) from: http://www.paroscientific.com/dewpoint.htm13) if Raleigh < 1708, convection does not occur14) Eq. 13.24 (diffuse, gray)15) transmissivity Apendix A, and reflectivity values

CALCULATIONSCollector C 1.619036Ambient Ai 12.192

Absorber P 55Average Te 319.3705Absorber Pl 2.6E-05Absorber Pl 1.82E-05Absorber P 0.0276431) Absorber 71873.98Panel Tilt 0.6981322) Absorber 3.469127Absorber P 2.397409Absorber P 0.417117Stefan-Bol 5.67E-0814) Absorb 1.36119Absorber P 41.3768114) Absorb 12.6793211)Bottom 310.7125Bottom Gla 310.6642Glass Air 302.5262Absorber Pl 2.33E-05 Radiation ConvectionHeat Gen. TemperatureAbsorber Pl 1.64E-05 328 absorber plateGlass Air 0.026379 12.67932 41.376811)Glass Gap 1382.6 total 54.05614 310.7125 bottom inner2) Absorber 0.99707 net 78.3053 0.296943Absorber P 2.630218 total 132.8472 310.6642 bottom outer13) Glass 0.379083 90.4768 42.8018Heat Transconduction total 133.2786 293.6956 top innerGlass Gap 0.179402 net 22.48067 4.417188Glass Gap 42.93566 total 154.885 271.9899 top outerGlass Gap 90.7248 120.0799 33.99397Top Glass 294.3118 285.192 ambientTop Glass 293.62312) Dew Po271.98995) Sky Tem 268.3708 Radiation Heat Loss (W/m^2)Top Plate 0.210984 119.6882Top Surfac 289.4075Surface Air 2.13E-05Surface Air 1.5E-05Surface Ai 0.0253963) RaleighL 3.79E+09 free convection should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???4) Nussult 233.9051Ralegih # onoReynoldsL #64563.83 forced convectionPrandlt # (u 0.707747) Nussult 153.979

forced free 8)Top Sur 3.989085 2.415254 3.668944 should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???Top Surfac 0.250684 Convection Heat Loss (W/m^2) is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???

33.63205 also, where did you get the combination equation from - pg 568 eqn. 9.64 suggests otherwise with a coefficient of 3Bottom Ins 2.105263 bottom do you know what transverse flow is?Bottom Boa 0.091667Bottom Boa 285.192Bottom Sur 285.192Surface Air 2.06E-05Surface Air 1.46E-05Surface Ai 0.025079

3) RaleighL 1779840 free convection9) free Nuss9.861864Ralegih # onoReynoldsL # 7.53212 forced convectionPrandlt # (u 0.7090037) Nussult 1.664116

forced free 8)Bottom 25.18631 3.794094 22.48451Bottom Sur 0.039704

Bottom The 2.236634

Top Heat L 54.05614 153.3202 58.77027Bottom Hea 19.13948

Total Heat 73.19561

Angle of In 0Interface R 0.043884 Reflected 0ff Bottom GlassTop Glass 71.58346 5.69985 Reflected BackTop Glass 4.091408 0.325779 Absorbed by TopBottom Gla 64.94156Bottom Gla 0.296943Insolation 629.049 I changed this equation by multiplying it by the percent absorbed, then adding the product of the energy reflected times the percent reflected back off the bottom glassTotal Heat 1229.733Net Heat G 1156.538

Top Loss C 0.830534

For Convection off of top PlateCollector C 1.619036 Using this instead of Panel LengthGrashof N 5.44E+09

should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???

should the length refered to in this equation be a type of averaged characteristic length like = sqrt(4*(L*W)/pi) ???is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???also, where did you get the combination equation from - pg 568 eqn. 9.64 suggests otherwise with a coefficient of 3do you know what transverse flow is?

is this combined convection appropriate - according to pg 567 in the Heat Transfer book Gr/Re^2 should be on the order of 1 in order to be accurate, right???

INPUTSAmbient Temperature (K) 285.192

Effective Collector Heat Loss Coefficient (W/m^2*K) 0.8293659315Incident Insolation (W/m^2) 629.04898029 assumes that the 'Effective Panel Convection Coefficient' takes radiation losses into account, incident means the angle of incidence has been accounted for

Temperature - Panel Input (K) 296.82420628Volumetric Flow Rate - Array Pipe (m^3/s) 4E-06

PARAMETERSPipe Length - Vertical Array (m) 1.5748

Pipe Spacing - Vertical Array (m) 0.193675Pipe Inner Diameter - Vertical Array (m) 0.020599Pipe Outer Diameter - Vertical Array (m) 0.022225

Absorber Plate Thickness (m) 0.000508Thermal Conductivity - Absorber Plate (W/m*K) 392.3

Thermal Conductivity - Array Pipe (W/m*K) 392.3Thermal Conductivity - Solder (W/m*K) 67

Width of Solder along Abs Plate (m) 0.0075 equations take into account the factor of 1/2Average Thickness of Solder (m) 0.002

OUTPUTSPanel Water Temperature Distribution (K) 296.82420628 Err:523

[distance (m)] 0 0.044211875Temperature - Absorber Plate Position 1 (K) Err:523Temperature - Absorber Plate Position 2 (K) Err:523

Temperature - Absorber Plate Average (K) Err:523

ASSUMPTIONSNegligible Heat Transfer in Horizontal Array Pipes

CALCULATIONSEffective Pipe Length for Model (m) 1.768475

x-direction Finite Element Length (m) 0.0107597222 20 units between vertical array pipes (the eleventh unit is for pipe contact resistance), assumes thermal symmetry through the centery-direction Finite Element Length (m) 0.044211875 41 units long

Equivalent Resistance - Pipe Inner Surface to Abs Plate (K/W) 0.3097036025Circumferential Length of Solder along Pipe (m) 0.0077620873

Finite Element Surface Area (m^2) 0.0004757075Absorber Plate Cross Section Perpendicular to the X-Axis (m^2) 2.245963E-05Absorber Plate Cross Section Perpendicular to the Y-Axis (m^2) 5.465939E-06

Area of Thermal Contact between Abs Plate and Array Pipe (m^2) 0.0003315891Array Pipe Wetted Perimeter (m) 0.0647136671 assumes circular pipes

Area of Wetted Pipe (m^2) 0.0014305563 divided by 2 because it is along an adiabatic surfaceCross Sectional Area of Pipe Material (m^2) 2.734435E-05 divided by 2 because it is along an adiabatic surface

Average Vertical Array Pipe Water Temperature (K) 307.67619264Average Vertical Array Pipe Temperature (deg C) 34.676192635

Thermal Conductivity of Water (W/m*K) 0.6193503579 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlKinematic Viscosity of Water (m^2/s) 7.230688E-07 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.html

Density of Water (kg/m^3) 996.09353199 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlSpecific Heat of Water (J/kg*K) 4176.4809939 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.html

Prandl Number 4.8068293141 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlReynolds Number 341.93560365 Definition of Reynolds Number, based on average kinematic viscosity in vertical array pipes

Entrance Region (m) 1.6928526844 Figure 8.9 for Hydrodynamic Entry Length+ (unitless) 0.0561353139 turbulent: Eq. 5.12, Eqn. 5.84, laminar: eq. 5.29, pg 5.9 para 2, eq. 5.31

Hydrodynamic Entry Length (m) 0.3953908517 Eq. 5.12

Thermal Entry Length (m) 1.6928526844 Figure 8.9 for laminar & constant surface temperature, Array Pipe Mass Flow Rate of Water (kg/s) 0.0039843741

assumes that the 'Effective Panel Convection Coefficient' takes radiation losses into account, incident means the angle of incidence has been accounted for


equations take into account the factor of 1/2

Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.088424 0.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119

20 units between vertical array pipes (the eleventh unit is for pipe contact resistance), assumes thermal symmetry through the center

assumes circular pipesdivided by 2 because it is along an adiabatic surfacedivided by 2 because it is along an adiabatic surface

curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlDefinition of Reynolds Number, based on average kinematic viscosity in vertical array pipes

Figure 8.9 Figure 8.9 for laminar & constant surface temperature, turbulent: Eq. 5.12, Eqn. 5.84, laminar: eq. 5.29, pg 5.9 para 2, eq. 5.31

Figure 8.9 for laminar & constant surface temperature,

- - - - - - - -0 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523

0.044212 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.088424 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.132636 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.176848 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.221059 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.265271 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.309483 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.353695 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.397907 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.442119 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.486331 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.530543 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.574754 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.618966 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.663178 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523

0.70739 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.751602 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.795814 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.840026 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.884238 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.928449 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.972661 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.016873 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.061085 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.105297 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.149509 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.193721 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.237933 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.282144 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.326356 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.370568 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523

1.41478 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.458992 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.503204 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.547416 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.591628 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.635839 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.680051 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.724263 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5231.768475 - Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:523

- - - - - - - -0 0.01076 0.021519 0.032279 0.04303889 0.053799 0.064558

Temperature Distribution

(K)

radiation plus, eqns

for conductio

n and convectio

n

x/2 x1 x2 x3 x4 x5 x6

- - - - -Err:523 Err:523 Err:523 302.1 - 296.8 Eqn. 8.42(b) 451.195649Err:523 Err:523 Err:523 Err:523 - Err:523 451.195649Err:523 Err:523 Err:523 308.4 - Err:523 357.9696057Err:523 Err:523 Err:523 Err:523 - Err:523 303.4358663Err:523 Err:523 Err:523 Err:523 - Err:523 264.7435624Err:523 Err:523 Err:523 Err:523 - Err:523 234.7314799Err:523 Err:523 Err:523 Err:523 - Err:523 210.2098229Err:523 Err:523 Err:523 Err:523 - Err:523 189.4770574Err:523 Err:523 Err:523 Err:523 - Err:523 174.8711922Err:523 Err:523 Err:523 Err:523 - Err:523 168.0682722Err:523 Err:523 Err:523 Err:523 - Err:523 161.9828529Err:523 Err:523 Err:523 Err:523 - Err:523 156.4779216Err:523 Err:523 Err:523 Err:523 - Err:523 151.452313Err:523 Err:523 Err:523 Err:523 - Err:523 146.8292013Err:523 Err:523 Err:523 Err:523 - Err:523 142.5488683Err:523 Err:523 Err:523 Err:523 - Err:523 138.5639737Err:523 Err:523 Err:523 Err:523 - Err:523 134.8363538Err:523 Err:523 Err:523 Err:523 - Err:523 131.3347931Err:523 Err:523 Err:523 Err:523 - Err:523 128.749822Err:523 Err:523 Err:523 Err:523 - Err:523 127.4100012Err:523 Err:523 Err:523 Err:523 - Err:523 126.1389201Err:523 Err:523 Err:523 Err:523 - Err:523 124.9298682Err:523 Err:523 Err:523 Err:523 - Err:523 123.777072Err:523 Err:523 Err:523 Err:523 - Err:523 122.6755285Err:523 Err:523 Err:523 Err:523 - Err:523 121.6208737Err:523 Err:523 Err:523 Err:523 - Err:523 120.6092782Err:523 Err:523 Err:523 Err:523 - Err:523 119.6373635Err:523 Err:523 Err:523 Err:523 - Err:523 118.7021337Err:523 Err:523 Err:523 Err:523 - Err:523 117.8009199Err:523 Err:523 Err:523 Err:523 - Err:523 116.9313342Err:523 Err:523 Err:523 Err:523 - Err:523 116.0912318Err:523 Err:523 Err:523 Err:523 - Err:523 115.2786787Err:523 Err:523 Err:523 Err:523 - Err:523 114.4919254Err:523 Err:523 Err:523 Err:523 - Err:523 113.7293837Err:523 Err:523 Err:523 Err:523 - Err:523 112.9896079Err:523 Err:523 Err:523 Err:523 - Err:523 112.271278Err:523 Err:523 Err:523 Err:523 - Err:523 111.5731854Err:523 Err:523 Err:523 Err:523 - Err:523 110.894221Err:523 Err:523 Err:523 Err:523 - Err:523 110.2333645Err:523 Err:523 Err:523 Err:523 - Err:523 110.04526Err:523 Err:523 Err:523 Err:523 - Err:523 110.04526

- - - - -0.075318 0.086078 0.096838

Effective Array Pipe Convection Coefficient (W/m^2*K)

x7 x8 x/2

Err:523 Err:523 Err:523 Err:523 Err:523 Err:523 Err:5230.8842375 0.928449375 0.97266125 1.016873 1.061085 1.105297 1.14950875

Gz^-1

Definition of 15.006335356 (refer to fig. 8. 0.001306 Definition of Graetz Number15.006335356 0.001306

11.9057264 0.00261210.091986432 0.0039188.8051174451 0.005223 Energy Balance Verification7.8069443111 0.006529 delta T6.9913774769 0.007835 c6.3018255437 0.009141 Q

5.816048448 0.010447 rho5.589789842 0.011753 POWER (W)

5.3873946222 0.013058 assume: no convection to air5.2043058752 0.014364 I5.0371589448 0.01567 A

4.883398674 0.016976 POWER (W)4.7410388989 0.018282

4.608505119 0.019588 % efficient4.4845280476 0.0208934.3680694902 0.0221994.2820958273 0.0235054.2375346699 0.0248114.1952597294 0.0261174.1550478203 0.0274234.1167069237 0.0287284.0800706413 0.0300344.0449938308 0.031344.0113491329 0.0326463.9790241802 0.0339523.9479193323 0.0352583.9179458238 0.0365643.8890242371 0.0378693.8610832343 0.039175

3.834058497 0.0404813.8078918343 0.0417873.7825304287 0.0430933.7579261942 0.0443993.7340352274 0.0457043.7108173358 0.047013.6882356315 0.0483163.6662561784 0.049622

3.66 0.0509283.66 0.052234

Array Pipe Instantaneous Nusselt Number

Energy Balance VerificationErr:523

4176.48099392E-06

996.09353199Err:523

assume: no convection to air629.048980290.1712546978107.72759303

Err:523

Err:523 Err:523 Err:523 Err:523 Err:5231.591628 1.635839 1.680051 1.724263 1.768475

INPUTSAmbient Temperature (K) 292.394Effective Collector Heat Loss Coefficient (W/m^2*K) 1.309172Incident Insolation (W/m^2) 639.6456 assumes that the 'Effective Panel Convection Coefficient' takes radiation losses into account, incident means the angle of incidence has been accounted forTemperature - Panel Input (K) 318.6522Volumetric Flow Rate - Array Pipe (m^3/s) 4.92E-06

PARAMETERSPipe Length - Vertical Array (m) 1.5748Pipe Spacing - Vertical Array (m) 0.193675Pipe Inner Diameter - Vertical Array (m) 0.020599Pipe Outer Diameter - Vertical Array (m) 0.022225Absorber Plate Thickness (m) 0.000508Thermal Conductivity - Absorber Plate (W/m*K) 392.3Thermal Conductivity - Array Pipe (W/m*K) 392.3Thermal Conductivity - Solder (W/m*K) 67Width of Solder along Abs Plate (m) 0.0075 equations take into account the factor of 1/2Average Thickness of Solder (m) 0.002

OUTPUTSPanel Water Temperature Distribution (K) 318.6522 318.9033 319.1548[distance (m)] 0 0.044212 0.088424Temperature - Absorber Plate Position 1 (K) 354.1742Temperature - Absorber Plate Position 2 (K) 342.4651Temperature - Absorber Plate Average (K) 343.7639

ASSUMPTIONSNegligible Heat Transfer in Horizontal Array Pipes

CALCULATIONSEffective Pipe Length for Model (m) 1.768475x-direction Finite Element Length (m) 0.01076 20 units between vertical array pipes (the eleventh unit is for pipe contact resistance), assumes thermal symmetry through the centery-direction Finite Element Length (m) 0.044212 41 units longEquivalent Resistance - Pipe Inner Surface to Abs Plate (K/W) 0.309704Circumferential Length of Solder along Pipe (m) 0.007762Finite Element Surface Area (m^2) 0.000476Absorber Plate Cross Section Perpendicular to the X-Axis (m^2) 2.25E-05Absorber Plate Cross Section Perpendicular to the Y-Axis (m^2) 5.47E-06Area of Thermal Contact between Abs Plate and Array Pipe (m^2) 0.000332Array Pipe Wetted Perimeter (m) 0.064714 assumes circular pipesArea of Wetted Pipe (m^2) 0.001431 divided by 2 because it is along an adiabatic surfaceCross Sectional Area of Pipe Material (m^2) 2.73E-05 divided by 2 because it is along an adiabatic surfaceAverage Vertical Array Pipe Water Temperature (K) 323.5185Average Vertical Array Pipe Temperature (deg C) 50.51848Thermal Conductivity of Water (W/m*K) 0.64149 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlKinematic Viscosity of Water (m^2/s) 5.52E-07 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlDensity of Water (kg/m^3) 990.219 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlSpecific Heat of Water (J/kg*K) 4178.263 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlPrandl Number 3.559339 curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlReynolds Number 550.9122 Definition of Reynolds Number, based on average kinematic viscosity in vertical array pipesEntrance Region (m) 2.019612 Figure 8.9 Figure 8.9 Hydrodynamic Entry Length+ (unitless) 0.0565 turbulent: Eq. 5.12, Eqn. 5.84, laminar: eq. 5.29, pg 5.9 para 2, eq. 5.31Hydrodynamic Entry Length (m) 0.641176 Eq. 5.12

Thermal Entry Length (m) 2.019612 Figure 8.9 for laminar & constant surface temperature, Array Pipe Mass Flow Rate of Water (kg/s) 0.004871

00.0442120.0884240.1326360.1768480.2210590.2652710.3094830.3536950.3979070.4421190.4863310.5305430.5747540.6189660.663178

0.707390.7516020.7958140.8400260.8842380.9284490.9726611.0168731.0610851.1052971.1495091.1937211.2379331.2821441.3263561.370568

1.414781.4589921.5032041.5474161.5916281.6358391.6800511.7242631.768475



equations take into account the factor of 1/2

319.4056 319.6556 319.9046 320.1524 320.3986 320.6421 320.8814 321.1223 321.36470.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331


assumes circular pipesdivided by 2 because it is along an adiabatic surfacedivided by 2 because it is along an adiabatic surface

curve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlcurve fit from http://www.mhtl.uwaterloo.ca/courses_old/me353/maple/tp.htmlDefinition of Reynolds Number, based on average kinematic viscosity in vertical array pipes

Figure 8.9 for laminar & constant surface temperature, turbulent: Eq. 5.12, Eqn. 5.84, laminar: eq. 5.29, pg 5.9 para 2, eq. 5.31

Figure 8.9 for laminar & constant surface temperature,

Temperature Distributi radiation plus, eqns for conduction and convection- - - - - - - - -- 337.2956 337.1086 336.5465 335.6058 334.2802 332.5601 330.4311 327.872- 337.6056 337.4268 336.8901 335.9956 334.7434 333.1341 331.1696 328.8539- 338.2646 338.0922 337.5748 336.7127 335.5062 333.9559 332.0627 329.8276- 339.0657 338.8963 338.3881 337.541 336.3547 334.8291 332.9638 330.7581- 339.9147 339.7467 339.2428 338.4025 337.2254 335.7108 333.8579 331.6654- 340.7744 340.6073 340.1058 339.2694 338.0977 336.5896 334.7442 332.56- 341.6285 341.4621 340.9626 340.1297 338.9625 337.4603 335.6218 333.4455- 342.4652 342.2996 341.8023 340.9731 339.8111 338.3156 336.4853 334.3186- 343.2703 343.1055 342.6107 341.7856 340.6296 339.1419 337.3213 335.1665- 344.0267 343.8625 343.3698 342.5482 341.3973 339.9164 338.1048 335.9616- 344.7213 344.5573 344.065 343.2441 342.094 340.614 338.803 336.6599- 345.3582 345.1941 344.7015 343.8799 342.7287 341.247 339.4338 337.2875- 345.9501 345.7858 345.2927 344.4704 343.3182 341.8352 340.0201 337.8716- 346.5092 346.3449 345.8516 345.029 343.8764 342.3928 340.5771 338.4279- 347.0447 346.8804 346.3873 345.5648 344.4124 342.9292 341.1138 338.9651- 347.5627 347.3986 346.9057 346.0837 344.932 343.4497 341.6355 339.4881- 348.0667 347.9027 347.4103 346.5891 345.4385 343.9575 342.1451 339.9997- 348.5579 348.394 347.9022 347.0821 345.9329 344.4537 342.6435 340.5008- 349.0359 348.8723 348.3813 347.5623 346.4149 344.938 343.1305 340.991- 349.4987 349.3354 348.8452 348.0277 346.8822 345.408 343.6037 341.4681- 349.9426 349.7796 349.2903 348.4743 347.331 345.8596 344.0589 341.9275- 350.3633 350.2005 349.7119 348.8972 347.7556 346.2865 344.4888 342.3613- 350.7583 350.5957 350.1073 349.2928 348.1515 346.6828 344.8853 342.7579- 351.1308 350.9681 350.4797 349.6651 348.5238 347.0549 345.2572 343.1293- 351.4855 351.3229 350.8345 350.0199 348.8787 347.4098 345.612 343.4841- 351.8269 351.6643 351.176 350.3617 349.2207 347.7522 345.9549 343.8275- 352.158 351.9955 351.5074 350.6935 349.553 348.0852 346.2888 344.1624- 352.4806 352.3181 351.8304 351.017 349.8773 348.4104 346.6151 344.4902- 352.795 352.6327 352.1454 351.3327 350.194 348.7283 346.9346 344.8114- 353.101 352.9388 352.452 351.6401 350.5026 349.0384 347.2466 345.1255- 353.3965 353.2345 352.7484 351.9376 350.8015 349.3393 347.5497 345.4314- 353.6782 353.5165 353.0312 352.2218 351.0876 349.6278 347.8412 345.7263- 353.9405 353.7792 353.2949 352.4873 351.3556 349.899 348.1163 346.0059- 354.1744 354.0136 353.5308 352.7256 351.5974 350.1451 348.3676 346.2634- 354.3666 354.2065 353.7256 352.9237 351.8 350.3536 348.5833 346.4875- 354.4974 354.3381 353.8598 353.0621 351.9444 350.5058 348.745 346.6606- 354.5399 354.3816 353.9061 353.1133 352.0025 350.5731 348.8241 346.7541- 354.4632 354.3054 353.8316 353.0419 351.9361 350.5141 348.7756 346.7202- 354.2482 354.089 353.6114 352.8158 351.7031 350.2744 348.5315 346.4764- 353.937 353.7719 353.2764 352.4508 351.2961 349.814 348.0081 345.8853- 353.7263 353.5516 353.026 352.1454 350.9028 349.2867 347.2801 344.8575- - - - - - - - -


321.6077 321.8508 322.0938 322.3367 322.5793 322.8215 323.0632 323.3043 323.54470.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238


radiation plus, eqns for conduction and convection Effective Array Pipe C- - - -324.8519 321.3259 320.8425 - 318.6522 Eqn. 8.42(b) 491.9102 Definition 326.1949 323.207 322.4107 - 318.9033 491.9102

327.252 324.3371 323.5549 - 319.1548 395.3517328.2116 325.323 324.5469 - 319.4056 338.8685

329.132 326.256 325.483 - 319.6556 298.7931330.0354 327.1684 326.3977 - 319.9046 267.7082330.9297 328.0722 327.304 - 320.1524 242.31331.8138 328.9688 328.2038 - 320.3986 220.8361332.6759 329.8475 329.0872 - 320.6421 202.2346333.4857 330.6763 329.9215 - 320.8814 185.8269334.1831 331.371 330.6152 - 321.1224 178.3313334.8065 331.9887 331.2311 - 321.3647 172.6296335.3878 332.5669 331.8085 - 321.6077 167.4243335.9433 333.1214 332.3628 - 321.8508 162.636336.4811 333.6599 332.9015 - 322.0938 158.2026337.0057 334.1865 333.4286 - 322.3367 154.0753337.5197 334.7032 333.946 - 322.5793 150.2144338.0239 335.2108 334.4546 - 322.8215 146.5877338.5178 335.7089 334.9539 - 323.0632 143.1683338.9994 336.1957 335.442 - 323.3044 139.9339

339.464 336.6664 335.9143 - 323.5447 136.8654339.9025 337.111 336.3607 - 323.7838 133.9466340.2988 337.5063 336.7556 - 324.0236 132.7315340.6695 337.876 337.125 - 324.2637 131.5906341.0243 338.2307 337.4797 - 324.5039 130.4983341.3684 338.5755 337.8247 - 324.7442 129.4505341.7044 338.9129 338.1625 - 324.9843 128.4439342.0338 339.2441 338.4943 - 325.2242 127.4752

342.357 339.5697 338.8204 - 325.464 126.5418342.6737 339.8892 339.1407 - 325.7034 125.6411342.9826 340.2016 339.454 - 325.9425 124.771343.2815 340.5048 339.7584 - 326.1811 123.9294343.5663 340.7954 340.0505 - 326.4191 123.1145343.8307 341.0676 340.3248 - 326.6562 122.3247344.0645 341.3121 340.5722 - 326.8919 121.5585344.2508 341.5135 340.7776 - 327.1258 120.8145344.3617 341.6448 340.9145 - 327.3566 120.0914344.3472 341.6554 340.9322 - 327.5826 119.3882344.1117 341.4396 340.7233 - 327.8 118.7037343.4576 340.746 340.0269 - 328.0013 118.037341.9817 338.5973 338.1308 - 328.167 117.3872

- - - -

323.7837 324.0235 324.2637 324.5039 324.7441 324.9842 325.2242 325.4639 325.70330.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144

Array Pipe Instantane Gz^-1

15.79582 (refer to fi 0.001095 Definition of Graetz Number15.79582 0.00109512.69521 0.00218910.88147 0.003284

9.5946 0.004378 Energy Balance Verification8.596427 0.005473 delta T 9.514792

7.78086 0.006567 c 4178.2637.091308 0.007662 Q 2.46E-066.493991 0.008757 rho 990.219

5.96712 0.009851 POWER (W96.823425.726429 0.010946 assume: no convection to air

5.54334 0.01204 I 639.64565.376193 0.013135 A 0.1712555.222433 0.014229 POWER (W109.54235.080073 0.0153244.947539 0.016418 % efficient 0.8838914.823562 0.0175134.707104 0.0186084.597304 0.0197024.493442 0.0207974.394908 0.0218914.301184 0.0229864.262167 0.024084.225531 0.0251754.190454 0.026274.156809 0.0273644.124484 0.0284594.093379 0.0295534.063406 0.0306484.034484 0.0317424.006543 0.0328373.979518 0.0339313.953352 0.035026

3.92799 0.0361213.903386 0.0372153.879495 0.038313.856277 0.0394043.833696 0.0404993.811716 0.0415933.790308 0.0426883.769441 0.043783

325.9424 326.181 326.419 326.6561 326.8919 327.1257 327.3566 327.5825 327.81.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628 1.635839 1.680051

328.0012 328.1671.724263 1.768475

INPUTSGravity (m/s^2) 9.81

Tank Temperature 1 (K) 326.6932Tank Temperature 2 (K) 324.9594Tank Temperature 3 (K) 321.237Tank Temperature 4 (K) 321.3835 290.0206 290.0381Tank Temperature 5 (K) 308.397 0.038497 0.076994Tank Temperature 6 (K) 318.8793



Temperature - Tank Average (K) 320.3893Panel Water Temperature Distribution (K) 318.6522 318.9033 319.1548

[distance (m)] 0 0.044212 0.088424Temperature - Tank Input (K) 327.7598

Temperature - System Input Mixed (K) 318.8793 ASSUMES NO HEAT LOSS IN THIS PIPE

PARAMETERSHeight of Tank Input (m) 2.0193

Height of Tank Siphon Output (m) 1.6383Height of System Input (m) 1.4351

Height of Collector Input (m) 0.15875Height of Collector Output (m) 1.1684

OUTPUTThermosiphon Pressure (Pa) 49.84263

Temperature - Tank Siphon Output and System Input Average (K) 318.8793Temperature - System Input and Panel Input Average (K) 318.7657Temperature - Panel Output and Tank Input Average (K) 327.9634

Panel Density Distribution (kg/m^3) 992.2148 992.116 992.0165[distance (m)] 0 0.044212 0.088424

CALCULATIONSTank Average Temperature (K) 320.3893

Tank Siphon Output and System Input Average Temperature (K) 318.8793System Input and Panel Input Average Temperature (K) 318.7657Panel Output and Tank Input Average Temperature (K) 327.9634

Tank Average Density (kg/m^3) 991.5218Tank Siphon Output and System Input Average Density (kg/m^3) 992.1255

System Input and Panel Input Average Density (kg/m^3) 992.1702Panel Density Distribution (kg/m^3) 992.2148 992.116 992.0165

[distance (m)] 0 0.044212 0.088424Panel Output and Tank Input Average Density (kg/m^3) 988.2477

Height Difference - Tank Input to Tank Siphon Output (m) 0.381Height Difference - Tank Siphon Output to System Input (m) 0.2032

Height Difference - System Input to Panel Input (m) 1.27635Height Difference - Panel Input to Panel Output (m) -1.00965Height Difference - Panel Output to Tank Input (m) -0.8509

Pressure Difference - Tank Input to Tank Siphon Output (Pa) 3705.922Pressure Difference - Tank Siphon Output to System Input (Pa) 1977.695

Pressure Difference - System Input to Panel Input (Pa) 12422.96Pressure Difference - Panel Input to Panel Output (Pa) -9807.502Pressure Difference - Panel Output to Tank Input (Pa) -8249.228

Total Thermosiphon Pressure (Pa) 49.84263 ASSUMES A CHECK VALVE - NO REVERSE PRESSURE


290.056 290.0741 290.0923 290.1105 290.1288 290.1472 290.1655 290.1838 290.2021 290.22050.115491 0.153988 0.192484 0.230981 0.269478 0.307975 0.346472 0.384969 0.423466 0.461962

319.4056 319.6556 319.9046 320.1524 320.3986 320.6421 320.8814 321.1223 321.3647 321.60770.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331 0.530543

ASSUMES NO HEAT LOSS IN THIS PIPE

991.9169 991.8172 991.7174 991.6176 991.5181 991.4192 991.3216 991.2229 991.1232 991.02290.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331 0.530543

991.9169 991.8172 991.7174 991.6176 991.5181 991.4192 991.3216 991.2229 991.1232 991.02290.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331 0.530543

ASSUMES A CHECK VALVE - NO REVERSE PRESSURE

290.2388 290.2571 290.2755 290.2938 290.3121 290.3304 290.3488 290.3671 290.3854 290.40370.500459 0.538956 0.577453 0.61595 0.654447 0.692944 0.731441 0.769937 0.808434 0.846931

321.8508 322.0938 322.3367 322.5793 322.8215 323.0632 323.3043 323.5447 323.7837 324.02350.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238 0.928449 0.972661

990.9221 990.8208 990.7193 990.6174 990.5152 990.4129 990.3104 990.2078 990.1053 990.00210.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238 0.928449 0.972661

990.9221 990.8208 990.7193 990.6174 990.5152 990.4129 990.3104 990.2078 990.1053 990.00210.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238 0.928449 0.972661

290.422 290.4403 290.4586 290.4769 290.4952 290.5135 290.5317 290.55 290.5683 290.58650.885428 0.923925 0.962422 1.000919 1.039416 1.077913 1.116409 1.154906 1.193403 1.2319

324.2637 324.5039 324.7441 324.9842 325.2242 325.4639 325.7033 325.9424 326.181 326.4191.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144 1.326356 1.370568 1.41478

989.8984 989.7941 989.6895 989.5846 989.4792 989.3736 989.2677 989.1615 989.0551 988.94861.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144 1.326356 1.370568 1.41478

989.8984 989.7941 989.6895 989.5846 989.4792 989.3736 989.2677 989.1615 989.0551 988.94861.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144 1.326356 1.370568 1.41478

290.6047 290.6229 290.641 290.6589 290.6767 290.6939 290.7096 290.7191.270397 1.308894 1.347391 1.385888 1.424384 1.462881 1.501378 1.539875

326.6561 326.8919 327.1257 327.3566 327.5825 327.8 328.0012 328.1671.458992 1.503204 1.547416 1.591628 1.635839 1.680051 1.724263 1.768475

988.8421 988.7358 988.63 988.5251 988.4221 988.3226 988.2303 988.1541.458992 1.503204 1.547416 1.591628 1.635839 1.680051 1.724263 1.768475

988.8421 988.7358 988.63 988.5251 988.4221 988.3226 988.2303 988.1541.458992 1.503204 1.547416 1.591628 1.635839 1.680051 1.724263 1.768475

INPUTSGravity (m/s^2) 9.81Tank Temperature 1 (K) 326.6932Tank Temperature 2 (K) 324.9594Tank Temperature 3 (K) 321.237Tank Temperature 4 (K) 321.3835 290.0206 290.0381Tank Temperature 5 (K) 308.397 0.038497 0.076994Tank Temperature 6 (K) 318.8793Tank Variable - H1 (m) 0.159808Tank Variable - H2 (m) 0.159808Tank Variable - H3 (m) 0.159808Volume of Partition 1 (m^3) 0.0194Volume of Partition 2 (m^3) 0.0194Volume of Partition 3 (m^3) 0.027686Volume of Partition 4 (m^3) 0.027686Volume of Partition 5 (m^3) 0.0194Volume of Partition 6 (m^3) 0.0194Temperature - Tank Average (K) 320.3893Panel Water Temperature Distribution (K) 318.6522 318.9033 319.1548[distance (m)] 0 0.044212 0.088424Temperature - Tank Input (K) 327.7598Temperature - System Input Mixed (K) 318.8793 ASSUMES NO HEAT LOSS IN THIS PIPE

PARAMETERSHeight of Tank Input (m) 2.0193Height of Tank Siphon Output (m) 1.6383Height of System Input (m) 1.4351Height of Collector Input (m) 0.15875Height of Collector Output (m) 1.1684

OUTPUTThermosiphon Pressure (Pa) 49.84263Temperature - Tank Siphon Output and System Input Average (K) 318.8793Temperature - System Input and Panel Input Average (K) 318.7657Temperature - Panel Output and Tank Input Average (K) 327.9634Panel Density Distribution (kg/m^3) 992.2148 992.116 992.0165[distance (m)] 0 0.044212 0.088424

CALCULATIONSTank Average Temperature (K) 320.3893Tank Siphon Output and System Input Average Temperature (K) 318.8793System Input and Panel Input Average Temperature (K) 318.7657Panel Output and Tank Input Average Temperature (K) 327.9634

Tank Average Density (kg/m^3) 991.5218Tank Siphon Output and System Input Average Density (kg/m^3) 992.1255System Input and Panel Input Average Density (kg/m^3) 992.1702Panel Density Distribution (kg/m^3) 992.2148 992.116 992.0165[distance (m)] 0 0.044212 0.088424Panel Output and Tank Input Average Density (kg/m^3) 988.2477

Height Difference - Tank Input to Tank Siphon Output (m) 0.381Height Difference - Tank Siphon Output to System Input (m) 0.2032Height Difference - System Input to Panel Input (m) 1.27635

Height Difference - Panel Input to Panel Output (m) -1.00965Height Difference - Panel Output to Tank Input (m) -0.8509

Pressure Difference - Tank Input to Tank Siphon Output (Pa) 3705.922Pressure Difference - Tank Siphon Output to System Input (Pa) 1977.695Pressure Difference - System Input to Panel Input (Pa) 12422.96Pressure Difference - Panel Input to Panel Output (Pa) -9807.502Pressure Difference - Panel Output to Tank Input (Pa) -8249.228

Total Thermosiphon Pressure (Pa) 49.84263 ASSUMES A CHECK VALVE - NO REVERSE PRESSURE


290.056 290.0741 290.0923 290.1105 290.1288 290.1472 290.1655 290.1838 290.20210.115491 0.153988 0.192484 0.230981 0.269478 0.307975 0.346472 0.384969 0.423466

319.4056 319.6556 319.9046 320.1524 320.3986 320.6421 320.8814 321.1223 321.36470.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331

ASSUMES NO HEAT LOSS IN THIS PIPE

991.9169 991.8172 991.7174 991.6176 991.5181 991.4192 991.3216 991.2229 991.12320.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331

991.9169 991.8172 991.7174 991.6176 991.5181 991.4192 991.3216 991.2229 991.12320.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331

ASSUMES A CHECK VALVE - NO REVERSE PRESSURE

290.2205 290.2388 290.2571 290.2755 290.2938 290.3121 290.3304 290.3488 290.36710.461962 0.500459 0.538956 0.577453 0.61595 0.654447 0.692944 0.731441 0.769937

321.6077 321.8508 322.0938 322.3367 322.5793 322.8215 323.0632 323.3043 323.54470.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238

991.0229 990.9221 990.8208 990.7193 990.6174 990.5152 990.4129 990.3104 990.20780.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238

991.0229 990.9221 990.8208 990.7193 990.6174 990.5152 990.4129 990.3104 990.20780.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238

290.3854 290.4037 290.422 290.4403 290.4586 290.4769 290.4952 290.5135 290.53170.808434 0.846931 0.885428 0.923925 0.962422 1.000919 1.039416 1.077913 1.116409

323.7837 324.0235 324.2637 324.5039 324.7441 324.9842 325.2242 325.4639 325.70330.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144

990.1053 990.0021 989.8984 989.7941 989.6895 989.5846 989.4792 989.3736 989.26770.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144

990.1053 990.0021 989.8984 989.7941 989.6895 989.5846 989.4792 989.3736 989.26770.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144

290.55 290.5683 290.5865 290.6047 290.6229 290.641 290.6589 290.6767 290.69391.154906 1.193403 1.2319 1.270397 1.308894 1.347391 1.385888 1.424384 1.462881

325.9424 326.181 326.419 326.6561 326.8919 327.1257 327.3566 327.5825 327.81.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628 1.635839 1.680051

989.1615 989.0551 988.9486 988.8421 988.7358 988.63 988.5251 988.4221 988.32261.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628 1.635839 1.680051

989.1615 989.0551 988.9486 988.8421 988.7358 988.63 988.5251 988.4221 988.32261.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628 1.635839 1.680051

290.7096 290.7191.501378 1.539875

328.0012 328.1671.724263 1.768475

988.2303 988.1541.724263 1.768475

988.2303 988.1541.724263 1.768475

INPUTSGravity (m/s^2) 9.81

Thermosiphon Pressure (Pa) 49.842633482Temperature - Tank Average (K) 320.3893232

Temperature - Tank Siphon Output and System Input Average (K) 318.87925676Temperature - System Input and Panel Input Average (K) 318.76571895

Panel Water Temperature Distribution (K) 318.65218113 318.903309192[distance (m)] 0 0.044211875

Temperature - Panel Output and Tank Input Average (K) 327.96336488

TankMoody friction factor 0.0156446708 0.23637895758

PARAMETERS

TankPipe Length (m) 0.08 0.6985

Pipe Inner Diameter (m) 0.02225 0.479425Number of Parallel Pipes 1 1

Roughness (m) 0.0000015 0.0000015

# in TankFlanged Tees, Line Flow 0.2 0

Threaded Tees, Line Flow 0.9 0Flanged Tees, Branched Flow 1 0Threaded Tees, Branch Flow 2 0

Threaded Union 0.08 0Flanged Regular 90o Elbows 0.3 0

Threaded Regular 90o Elbows 1.5 0Threaded Regular 45o Elbows 0.4 0

Flanged Long Radius 90o Elbows 0.2 0Threaded Long Radius 90o Elbows 0.7 0

Flanged Long Radius 45o Elbows 0.2 0Flanged 180o Return Bends 0.2 0

Threaded 180o Return Bends 1.5 0Fully Open Globe Valve 10 0Fully Open Angle Valve 2 0Fully Open Gate Valve 0.15 01/4 Closed Gate Valve 0.26 01/2 Closed Gate Valve 2.1 03/4 Closed Gate Valve 17 0

Forward Flow Swing Check Valve 2 0Fully Open Ball Valve 0.05 01/3 Closed Ball Valve 5.5 0

Panel Output to Tank Input


Loss Coefficient

2/3 Closed Ball Valve 200 0Square Pipe Entrance (Reservoir to Pipe) 0.5 0

Rounded Pipe Entrance 0.2 0Re-entrant Pipe Entrance 1 0

Square Pipe Exit (Pipe to Reservoir) 1 0Rounded Pipe Exit (Pipe to Reservoir) 1 0

Re-entrant Pipe Exit (Pipe to Reservoir) 1 0

OUTPUTVolumetric Flow Rate - Thermosiphon Effect (m^3/s) 2.951465E-05 Goal Seek (unautomated)

TankReynolds Number (unitless) 3266.6153671 135.376549675

Pipe Relative Roughness (unitless) 6.741573E-05 3.128748E-06

CALCULATIONSDARCY WEISBACH:

TankKinematic Viscosity (m^2/s) 5.170347E-07 5.7900675E-07

Reynolds Number 3266.6153671 135.376549675Relative Roughness 6.741573E-05 3.128748E-06Flow Velocity (m/s) 0.0759080287 0.00016349572

Headloss (m) 1.651973E-05 4.6921115E-10Headloss Pressure (Pa) 0.1620585059 4.6029614E-06

Total Pipe Friction Headloss (Pa) 6.2489944643

Average Temperature (K) 327.96336488 320.3893232Total Loss Coefficients 1.06 0

Minor Head Losses (Pa) 1.001559211 0Total Minor Headloss Pressure (Pa) 3.5610607033

Total Headloss (Pa) 9.8100551677




319.154785 319.40563119 319.6556 319.9046334 320.15244 320.3986 320.64209152 320.88140.08842375 0.132635625 0.176848 0.221059375 0.2652713 0.309483 0.353695 0.397907

0.01411944 0.0141115741 0.027162 0.058085478 0.0235271

0.83185 2.27965 1.0668 1.5748 1.06680.026238 0.026238 0.026797 0.020599 0.026797

1 1 1 6 10.0000015 0.0000015 1.5E-06 0.0000015 0.0000015

0 2 5 0 5 00 0 0 0 0 00 0 0 10 0 00 0 0 0 0 01 2 0 0 0 20 0 1 0 1 00 0 0 0 0 00 0 0 0 0 01 1 0 0 0 20 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

Tank Siphon


System Input to Panel Input

Lower Panel Cross-

MemberVertical

Array Pipe

Upper Panel Cross-

Member

Tank Siphon



Lower Horizontal

Array Pipe

Vertical Array Pipe

Upper Horizontal Array Pipe

# in Tank Siphon


# in System Input to Panel

Input

# in Lower


# in Vertical Array Pipe

# in Upper Horizontal Array Pipe

# in Panel Output to

Tank Input

0 0 0 0 0 00 0 0 0 0 10 0 0 0 0 00 0 0 0 0 01 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

Goal Seek (unautomated)

2415.22158 2410.8328666 1178.122 550.9151162 1360.14275.7169E-05 5.716899E-05 5.6E-05 7.28191E-05 5.598E-05

5.9301E-07 5.940868E-07 5.95E-07 5.51907E-07 5.155E-072415.22158 2410.8328666 1178.122 550.9151162 1360.14275.7169E-05 5.716899E-05 5.6E-05 7.28191E-05 5.598E-050.05458663 0.0545866306 0.026166 0.014760607 0.02616656.7984E-05 0.0001862029 3.77E-05 0.000295874 3.269E-050.66692075 1.8266506143 0.370186 2.902528715 0.3206457

318.879257 318.76571895 318.6522 323.518477 328.166973.28 0.76 1.3 10 1.3

1.55826994 0.3609339904 0.141815 0.352433782 0.1460491

Tank Siphon



Lower Panel Cross-

MemberVertical

Array Pipe

Upper Panel Cross-

Member

Tank Siphon



Lower Panel Cross-

MemberVertical

Array Pipe

Upper Panel Cross-

Member

321.1223 321.3647 321.6077 321.8508 322.0938 322.3367 322.5793 322.8215 323.06320.442119 0.486331 0.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814

323.3043 323.5447 323.7837 324.0235 324.2637 324.5039 324.7441 324.9842 325.22420.840026 0.884238 0.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721

325.4639 325.7033 325.9424 326.181 326.419 326.6561 326.8919 327.1257 327.35661.237933 1.282144 1.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628

327.5825 327.8 328.0012 328.1671.635839 1.680051 1.724263 1.768475

INPUTSGravity (m/s^2) 9.81Thermosiphon Pressure (Pa) 49.842633Temperature - Tank Average (K) 320.38932Temperature - Tank Siphon Output and System Input Average (K) 318.87926Temperature - System Input and Panel Input Average (K) 318.76572Panel Water Temperature Distribution (K) 318.65218 318.9033 319.1548[distance (m)] 0 0.044212 0.088424Temperature - Panel Output and Tank Input Average (K) 327.96336

Panel OutputTank Tank SiphoMoody friction factor 0.0156447 0.236379 0.014119

PARAMETERSPanel OutputTank Tank Sipho

Pipe Length (m) 0.08 0.6985 0.83185Pipe Inner Diameter (m) 0.02225 0.479425 0.026238Number of Parallel Pipes 1 1 1Roughness (m) 0.0000015 1.5E-06 1.5E-06

Loss Coeffic# in Tank # in Tank Flanged Tees, Line Flow 0.2 0 0Threaded Tees, Line Flow 0.9 0 0Flanged Tees, Branched Flow 1 0 0Threaded Tees, Branch Flow 2 0 0Threaded Union 0.08 0 1Flanged Regular 90o Elbows 0.3 0 0Threaded Regular 90o Elbows 1.5 0 0Threaded Regular 45o Elbows 0.4 0 0Flanged Long Radius 90o Elbows 0.2 0 1Threaded Long Radius 90o Elbows 0.7 0 0Flanged Long Radius 45o Elbows 0.2 0 0Flanged 180o Return Bends 0.2 0 0Threaded 180o Return Bends 1.5 0 0Fully Open Globe Valve 10 0 0Fully Open Angle Valve 2 0 0Fully Open Gate Valve 0.15 0 01/4 Closed Gate Valve 0.26 0 01/2 Closed Gate Valve 2.1 0 03/4 Closed Gate Valve 17 0 0Forward Flow Swing Check Valve 2 0 1Fully Open Ball Valve 0.05 0 01/3 Closed Ball Valve 5.5 0 02/3 Closed Ball Valve 200 0 0Square Pipe Entrance (Reservoir to Pipe) 0.5 0 0Rounded Pipe Entrance 0.2 0 0Re-entrant Pipe Entrance 1 0 0Square Pipe Exit (Pipe to Reservoir) 1 0 1Rounded Pipe Exit (Pipe to Reservoir) 1 0 0Re-entrant Pipe Exit (Pipe to Reservoir) 1 0 0

OUTPUTVolumetric Flow Rate - Thermosiphon Effect (m^3/s) 2.951E-05 Goal Seek (unautomated)

Panel OutputTank Tank Sipho

Reynolds Number (unitless) 3266.6154 135.3765 2415.222Pipe Relative Roughness (unitless) 6.742E-05 3.13E-06 5.72E-05

CALCULATIONSDARCY WEISBACH:

Panel OutputTank Tank SiphoKinematic Viscosity (m^2/s) 5.17E-07 5.79E-07 5.93E-07Reynolds Number 3266.6154 135.3765 2415.222Relative Roughness 6.742E-05 3.13E-06 5.72E-05Flow Velocity (m/s) 0.075908 0.000163 0.054587Headloss (m) 1.652E-05 4.69E-10 6.8E-05Headloss Pressure (Pa) 0.1620585 4.6E-06 0.666921Total Pipe Friction Headloss (Pa) 6.2489945

Average Temperature (K) 327.96336 320.3893 318.8793Total Loss Coefficients 1.06 0 3.28Minor Head Losses (Pa) 1.0015592 0 1.55827Total Minor Headloss Pressure (Pa) 3.5610607

Total Headloss (Pa) 9.8100552

Sum of Loss Coefficients k 0 0.656Total pressure drop (Pa) 3.78E-05 5.347153Corrected Total Pressure Drop (Pa) 2.52E-05 3.564769

Total System Pressure Loss (Pa) 31.156432Thermosiphon Pressure (Pa) 31.156333


319.4056 319.6556 319.9046 320.1524 320.3986 320.6421 320.8814 321.1223 321.36470.132636 0.176848 0.221059 0.265271 0.309483 0.353695 0.397907 0.442119 0.486331

System InpuLower Pan Vertical Ar Upper Panel Cross-Member0.014112 0.027162 0.058085 0.023527

System InpuLower HorizVertical Ar Upper Horizontal Array Pipe2.27965 1.0668 1.5748 1.0668

0.026238 0.026797 0.020599 0.0267971 1 6 1

1.5E-06 1.5E-06 1.5E-06 1.5E-06

# in System# in Lower # in Vertic # in Upper # in Panel Output to Tank Input2 5 0 5 00 0 0 0 00 0 10 0 00 0 0 0 02 0 0 0 20 1 0 1 00 0 0 0 00 0 0 0 01 0 0 0 20 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 10 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0

Goal Seek (unautomated)System InpuLower Pan Vertical Ar Upper Panel Cross-Member

2410.833 1178.122 550.9151 1360.1435.72E-05 5.6E-05 7.28E-05 5.6E-05

System InpuLower Pan Vertical Ar Upper Panel Cross-Member5.94E-07 5.95E-07 5.52E-07 5.16E-072410.833 1178.122 550.9151 1360.1435.72E-05 5.6E-05 7.28E-05 5.6E-050.054587 0.026166 0.014761 0.0261660.000186 3.77E-05 0.000296 3.27E-051.826651 0.370186 2.902529 0.320646

318.7657 318.6522 323.5185 328.1670.76 1.3 10 1.3

0.360934 0.141815 0.352434 0.146049

0.152 0.26 2 0.26 0.2125.600788 3.224336 9.135142 2.972621 20.454573.733859 2.149557 6.090094 1.981747 13.63638

321.6077 321.8508 322.0938 322.3367 322.5793 322.8215 323.0632 323.3043 323.54470.530543 0.574754 0.618966 0.663178 0.70739 0.751602 0.795814 0.840026 0.884238

323.7837 324.0235 324.2637 324.5039 324.7441 324.9842 325.2242 325.4639 325.70330.928449 0.972661 1.016873 1.061085 1.105297 1.149509 1.193721 1.237933 1.282144

325.9424 326.181 326.419 326.6561 326.8919 327.1257 327.3566 327.5825 327.81.326356 1.370568 1.41478 1.458992 1.503204 1.547416 1.591628 1.635839 1.680051

328.0012 328.1671.724263 1.768475

INPUTSReynolds Number (unitless) 1360.14

Pipe Relative Roughness (unitless) 5.6E-05 Operating ConditionsOther Sub-System Outputs

OUTPUTS ParametersMoody Friciton Factor 0.02353 Outputs

CALCULATIONSTurbulent Moody Friction Factor 0

Minimum Turbulent Friciton Factor 0.0375Moody Friction Factor 0.04705

Edited Moody Friction Factor 0.02353

0.05 0.079 0.0785 0.076 0.075 0.0749 0.07480.04 0.074 0.072 0.07 0.0699 0.0687 0.06750.03 0.066 0.064 0.0625 0.0618 0.0609 0.060.02 0.058 0.056 0.0542 0.054 0.053 0.052

0.015 0.0541 0.0522 0.0511 0.05 0.04875 0.04750.01 0.052 0.0481 0.0461 0.0455 0.044 0.0425

0.008 0.05 0.0462 0.0447 0.0435 0.04215 0.04080.006 0.0485 0.045 0.0427 0.0415 0.04 0.03850.004 0.046 0.0425 0.04 0.0398 0.0379 0.036

e/D 0.002 0.045 0.042 0.0385 0.038 0.03575 0.03350.001 0.044 0.0415 0.038 0.0365 0.0345 0.0325

0.0008 0.0435 0.04144 0.0375 0.035 0.0336 0.03220.0006 0.0435 0.04144 0.0375 0.035 0.03345 0.03190.0004 0.0435 0.04144 0.0375 0.035 0.03335 0.03170.0002 0.0435 0.04144 0.0375 0.035 0.03355 0.031480.0001 0.0435 0.04144 0.0375 0.035 0.03355 0.03148

0.00005 0.0435 0.04144 0.0375 0.035 0.03355 0.031480.00001 0.0435 0.04144 0.0375 0.035 0.03355 0.03148

5E-06 0.0435 0.04144 0.0375 0.035 0.03355 0.031481E-06 0.0435 0.04144 0.0375 0.035 0.03355 0.03148

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03 1.0E+04

0.05 0 0 0 0 0 00.04 0 0 0 0 0 00.03 0 0 0 0 0 00.02 0 0 0 0 0 0

0.015 0 0 0 0 0 00.01 0 0 0 0 0 0

0.008 0 0 0 0 0 00.006 0 0 0 0 0 00.004 0 0 0 0 0 00.002 0 0 0 0 0 0

0.001 0 0 0 0 0 00.0008 0 0 0 0 0 00.0006 0 0 0 0 0 00.0004 0 0 0 0 0 00.0002 0 0 0 0 0 00.0001 0 0 0 0 0 0

0.00005 0 0 0 0 0 00.00001 0 0 0 0 0 0

5E-06 0 0 0 0 0 01E-06 0 0 0 0 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03 1.0E+04

1.0E+000.05 0 0 0 0 0 00.04 0 0 0 0 0 00.03 0 0 0 0 0 00.02 0 0 0 0 0 0

0.015 0 0 0 0 0 00.01 0 0 0 0 0 0

0.008 0 0 0 0 0 00.006 0 0 0 0 0 00.004 0 0 0 0 0 00.002 0 0 0 0 0 00.001 0 0 0 0 0 0

0.0008 0 0 0 0 0 00.0006 0 0 0 0 0 00.0004 0 0 0 0 0 00.0002 0 0 0 0 0 00.0001 0 0 0 0 0 0

0.00005 1 1 1 1 1 10.00001 0 0 0 0 0 0

5E-06 0 0 0 0 0 01E-06 0 0 0 0 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03 1.0E+04

0.05 0 0 0 0 0 00.04 0 0 0 0 0 00.03 0 0 0 0 0 00.02 0 0 0 0 0 0

0.015 0 0 0 0 0 00.01 0 0 0 0 0 0

0.008 0 0 0 0 0 00.006 0 0 0 0 0 00.004 0 0 0 0 0 00.002 0 0 0 0 0 0

0.001 0 0 0 0 0 00.0008 0 0 0 0 0 00.0006 0 0 0 0 0 00.0004 0 0 0 0 0 00.0002 0 0 0 0 0 00.0001 0 0 0 0 0 0

0.00005 0 0 0 0 0 00.00001 0 0 0 0 0 0

5E-06 0 0 0 0 0 01E-06 0 0 0 0 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03 1.0E+04

Moody Diagram (values in chart are Moody Friction Factors)

0.074 0.0732 0.073 0.0729 0.0729 0.0729 0.0729 0.0728 0.0728 0.0728 0.07280.0669 0.066 0.0659 0.0659 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.06580.0585 0.0582 0.058 0.0579 0.0579 0.0578 0.0578 0.0577 0.0576 0.0575 0.05750.0504 0.05 0.0496 0.0493 0.0491 0.0489 0.0487 0.0485 0.0485 0.0485 0.04850.0458 0.0449 0.0442 0.0441 0.0441 0.044 0.044 0.044 0.044 0.044 0.0440.0408 0.04 0.0392 0.0389 0.0385 0.0383 0.0381 0.038 0.038 0.038 0.0380.0384 0.0378 0.0372 0.0369 0.0365 0.0362 0.036 0.0355 0.0355 0.0355 0.03550.0357 0.03485 0.0342 0.03385 0.0334 0.0331 0.03285 0.03225 0.032 0.032 0.032

0.033 0.0319 0.0312 0.0308 0.0303 0.03 0.0297 0.029 0.0286 0.0284 0.02830.0304 0.02935 0.02835 0.02765 0.02705 0.0265 0.02605 0.025 0.02465 0.02445 0.02370.0278 0.0268 0.0255 0.0245 0.0238 0.023 0.0224 0.021 0.0207 0.0205 0.02030.0275 0.02595 0.0247 0.02375 0.02305 0.0222 0.02165 0.02025 0.0198 0.0195 0.01930.0272 0.0251 0.0239 0.023 0.0223 0.0214 0.0209 0.0195 0.0189 0.0185 0.01830.0269 0.0245 0.023 0.022 0.021 0.0205 0.02 0.0183 0.0177 0.0172 0.0170.0267 0.0242 0.0227 0.0215 0.0207 0.0199 0.019 0.0172 0.0163 0.016 0.0156

0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.0185 0.0163 0.0155 0.015 0.01450.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.0181 0.016 0.015 0.0147 0.0140.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.01368 0.013590.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.01368 0.013360.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.01368 0.013132.0E+04 3.0E+04 4.0E+04 5.0E+04 6.0E+04 8.0E+04 1.0E+05 2.0E+05 3.0E+05 4.0E+05 5.0E+05

Reynolds Number

Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

2.0E+04 3.0E+04 4.0E+04 5.0E+04 6.0E+04 8.0E+04 1.0E+05 2.0E+05 3.0E+05 4.0E+05 5.0E+05Reynolds Number

Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0



0.0726 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.07250.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.06580.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.05750.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485

0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.0440.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038

0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.03550.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032

0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.02830.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.02370.0202 0.02 0.0199 0.0195 0.0195 0.0195 0.0195 0.0195 0.0195 0.0195 0.01950.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.01860.0181 0.018 0.0179 0.0176 0.0176 0.0176 0.0176 0.0176 0.0176 0.0176 0.01760.0168 0.0165 0.0162 0.0159 0.0158 0.0158 0.0158 0.0158 0.0158 0.0158 0.01580.0153 0.0151 0.0149 0.0143 0.0141 0.014 0.014 0.0139 0.0138 0.0138 0.01380.0142 0.0139 0.0136 0.0129 0.0127 0.0125 0.0123 0.0122 0.0121 0.0121 0.01210.0136 0.0132 0.0128 0.012 0.0117 0.01155 0.0113 0.0112 0.011 0.0109 0.01070.0135 0.0127 0.0122 0.011 0.0105 0.0102 0.0098 0.0096 0.00937 0.00925 0.00870.0131 0.01239 0.01191 0.01068 0.01011 0.00975 0.0094 0.00918 0.00888 0.00869 0.00804

0.01271 0.01208 0.01163 0.01037 0.00972 0.0093 0.00899 0.00875 0.00839 0.00813 0.007386.0E+05 8.0E+05 1.0E+06 2.0E+06 3.0E+06 4.0E+06 5.0E+06 6.0E+06 8.0E+06 1.0E+07 2.0E+07

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

6.0E+05 8.0E+05 1.0E+06 2.0E+06 3.0E+06 4.0E+06 5.0E+06 6.0E+06 8.0E+06 1.0E+07 2.0E+07

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

6.0E+05 8.0E+05 1.0E+06 2.0E+06 3.0E+06 4.0E+06 5.0E+06 6.0E+06 8.0E+06 1.0E+07 2.0E+07

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

6.0E+05 8.0E+05 1.0E+06 2.0E+06 3.0E+06 4.0E+06 5.0E+06 6.0E+06 8.0E+06 1.0E+07 2.0E+07

0.0725 0.0725 0.0725 0.0725 0.0725 0.07250.0658 0.0658 0.0658 0.0658 0.0658 0.06580.0575 0.0575 0.0575 0.0575 0.0575 0.05750.0485 0.0485 0.0485 0.0485 0.0485 0.0485

0.044 0.044 0.044 0.044 0.044 0.0440.038 0.038 0.038 0.038 0.038 0.038

0.0355 0.0355 0.0355 0.0355 0.0355 0.03550.032 0.032 0.032 0.032 0.032 0.032

0.0283 0.0283 0.0283 0.0283 0.0283 0.02830.0237 0.0237 0.0237 0.0237 0.0237 0.02370.0195 0.0195 0.0195 0.0195 0.0195 0.01950.0186 0.0186 0.0186 0.0186 0.0186 0.01860.0176 0.0176 0.0176 0.0176 0.0176 0.01760.0158 0.0158 0.0158 0.0158 0.0158 0.01580.0138 0.0138 0.0138 0.0138 0.0138 0.01380.0121 0.0121 0.0121 0.0121 0.0121 0.01210.0107 0.0107 0.0107 0.0107 0.0107 0.0107

0.00851 0.00848 0.0084 0.00825 0.00825 0.008250.00775 0.00761 0.00747 0.00732 0.00721 0.007120.00699 0.00673 0.00654 0.00639 0.00616 0.0063.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08 1E+063

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 01 1 1 1 1 10 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

0 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

CALCULATIONSMinimum Turbulent Reynolds Number 5000

e/D 5.6E-05Minimum Turbulent Moody Friction Factor 0.0375

0.05 0.079 0.0785 0.076 0.075 0.07490.04 0.074 0.072 0.07 0.0699 0.06870.03 0.066 0.064 0.0625 0.0618 0.06090.02 0.058 0.056 0.0542 0.054 0.053

0.015 0.0541 0.0522 0.0511 0.05 0.048750.01 0.052 0.0481 0.0461 0.0455 0.044

0.008 0.05 0.0462 0.0447 0.0435 0.042150.006 0.0485 0.045 0.0427 0.0415 0.040.004 0.046 0.0425 0.04 0.0398 0.0379

e/D 0.002 0.045 0.042 0.0385 0.038 0.035750.001 0.044 0.0415 0.038 0.0365 0.0345

0.0008 0.0435 0.04144 0.0375 0.035 0.03360.0006 0.0435 0.04144 0.0375 0.035 0.033450.0004 0.0435 0.04144 0.0375 0.035 0.033350.0002 0.0435 0.04144 0.0375 0.035 0.033550.0001 0.0435 0.04144 0.0375 0.035 0.03355

0.00005 0.0435 0.04144 0.0375 0.035 0.033550.00001 0.0435 0.04144 0.0375 0.035 0.03355

5E-06 0.0435 0.04144 0.0375 0.035 0.033551E-06 0.0435 0.04144 0.0375 0.035 0.03355

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03

0.05 0 0 1 0 00.04 0 0 1 0 00.03 0 0 1 0 00.02 0 0 1 0 0

0.015 0 0 1 0 00.01 0 0 1 0 0

0.008 0 0 1 0 00.006 0 0 1 0 00.004 0 0 1 0 00.002 0 0 1 0 0

0.001 0 0 1 0 00.0008 0 0 1 0 00.0006 0 0 1 0 00.0004 0 0 1 0 00.0002 0 0 1 0 00.0001 0 0 1 0 0

0.00005 0 0 1 0 00.00001 0 0 1 0 0

5E-06 0 0 1 0 01E-06 0 0 1 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03

1.0E+000.05 0 0 0 0 00.04 0 0 0 0 00.03 0 0 0 0 00.02 0 0 0 0 0

0.015 0 0 0 0 00.01 0 0 0 0 0

0.008 0 0 0 0 00.006 0 0 0 0 00.004 0 0 0 0 00.002 0 0 0 0 00.001 0 0 0 0 0

0.0008 0 0 0 0 00.0006 0 0 0 0 00.0004 0 0 0 0 00.0002 0 0 0 0 00.0001 0 0 0 0 0

0.00005 1 1 1 1 10.00001 0 0 0 0 0

5E-06 0 0 0 0 01E-06 0 0 0 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03

0.05 0 0 0 0 00.04 0 0 0 0 00.03 0 0 0 0 00.02 0 0 0 0 0

0.015 0 0 0 0 00.01 0 0 0 0 0

0.008 0 0 0 0 00.006 0 0 0 0 00.004 0 0 0 0 00.002 0 0 0 0 0

0.001 0 0 0 0 00.0008 0 0 0 0 00.0006 0 0 0 0 00.0004 0 0 0 0 00.0002 0 0 0 0 00.0001 0 0 0 0 0

0.00005 0 0 0.0375 0 00.00001 0 0 0 0 0

5E-06 0 0 0 0 01E-06 0 0 0 0 0

3.0E+03 4.0E+03 5.0E+03 6.0E+03 8.0E+03


0.0748 0.074 0.0732 0.073 0.0729 0.0729 0.0729 0.0729 0.0728 0.0728 0.07280.0675 0.0669 0.066 0.0659 0.0659 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658

0.06 0.0585 0.0582 0.058 0.0579 0.0579 0.0578 0.0578 0.0577 0.0576 0.05750.052 0.0504 0.05 0.0496 0.0493 0.0491 0.0489 0.0487 0.0485 0.0485 0.0485

0.0475 0.0458 0.0449 0.0442 0.0441 0.0441 0.044 0.044 0.044 0.044 0.0440.0425 0.0408 0.04 0.0392 0.0389 0.0385 0.0383 0.0381 0.038 0.038 0.0380.0408 0.0384 0.0378 0.0372 0.0369 0.0365 0.0362 0.036 0.0355 0.0355 0.03550.0385 0.0357 0.03485 0.0342 0.03385 0.0334 0.0331 0.03285 0.03225 0.032 0.032

0.036 0.033 0.0319 0.0312 0.0308 0.0303 0.03 0.0297 0.029 0.0286 0.02840.0335 0.0304 0.02935 0.02835 0.02765 0.02705 0.0265 0.02605 0.025 0.02465 0.024450.0325 0.0278 0.0268 0.0255 0.0245 0.0238 0.023 0.0224 0.021 0.0207 0.02050.0322 0.0275 0.02595 0.0247 0.02375 0.02305 0.0222 0.02165 0.02025 0.0198 0.01950.0319 0.0272 0.0251 0.0239 0.023 0.0223 0.0214 0.0209 0.0195 0.0189 0.01850.0317 0.0269 0.0245 0.023 0.022 0.021 0.0205 0.02 0.0183 0.0177 0.0172

0.03148 0.0267 0.0242 0.0227 0.0215 0.0207 0.0199 0.019 0.0172 0.0163 0.0160.03148 0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.0185 0.0163 0.0155 0.0150.03148 0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.0181 0.016 0.015 0.01470.03148 0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.013680.03148 0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.013680.03148 0.02615 0.02364 0.02207 0.02096 0.02011 0.01887 0.01799 0.01561 0.01444 0.013681.0E+04 2.0E+04 3.0E+04 4.0E+04 5.0E+04 6.0E+04 8.0E+04 1.0E+05 2.0E+05 3.0E+05 4.0E+05

Reynolds Number

Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0



0.0728 0.0726 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.07250.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.06580.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.05750.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485

0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.044 0.0440.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038 0.038

0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.03550.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032 0.032

0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.02830.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.02370.0203 0.0202 0.02 0.0199 0.0195 0.0195 0.0195 0.0195 0.0195 0.0195 0.01950.0193 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.01860.0183 0.0181 0.018 0.0179 0.0176 0.0176 0.0176 0.0176 0.0176 0.0176 0.0176

0.017 0.0168 0.0165 0.0162 0.0159 0.0158 0.0158 0.0158 0.0158 0.0158 0.01580.0156 0.0153 0.0151 0.0149 0.0143 0.0141 0.014 0.014 0.0139 0.0138 0.01380.0145 0.0142 0.0139 0.0136 0.0129 0.0127 0.0125 0.0123 0.0122 0.0121 0.0121

0.014 0.0136 0.0132 0.0128 0.012 0.0117 0.01155 0.0113 0.0112 0.011 0.01090.01359 0.0135 0.0127 0.0122 0.011 0.0105 0.0102 0.0098 0.0096 0.00937 0.009250.01336 0.0131 0.01239 0.01191 0.01068 0.01011 0.00975 0.0094 0.00918 0.00888 0.008690.01313 0.01271 0.01208 0.01163 0.01037 0.00972 0.0093 0.00899 0.00875 0.00839 0.008135.0E+05 6.0E+05 8.0E+05 1.0E+06 2.0E+06 3.0E+06 4.0E+06 5.0E+06 6.0E+06 8.0E+06 1.0E+07

Reynolds Number

Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 01 1 1 1 1 1 1 1 1 1 10 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


Moody Diagram

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0


0.0725 0.0725 0.0725 0.0725 0.0725 0.0725 0.07250.0658 0.0658 0.0658 0.0658 0.0658 0.0658 0.06580.0575 0.0575 0.0575 0.0575 0.0575 0.0575 0.05750.0485 0.0485 0.0485 0.0485 0.0485 0.0485 0.0485

0.044 0.044 0.044 0.044 0.044 0.044 0.0440.038 0.038 0.038 0.038 0.038 0.038 0.038

0.0355 0.0355 0.0355 0.0355 0.0355 0.0355 0.03550.032 0.032 0.032 0.032 0.032 0.032 0.032

0.0283 0.0283 0.0283 0.0283 0.0283 0.0283 0.02830.0237 0.0237 0.0237 0.0237 0.0237 0.0237 0.02370.0195 0.0195 0.0195 0.0195 0.0195 0.0195 0.01950.0186 0.0186 0.0186 0.0186 0.0186 0.0186 0.01860.0176 0.0176 0.0176 0.0176 0.0176 0.0176 0.01760.0158 0.0158 0.0158 0.0158 0.0158 0.0158 0.01580.0138 0.0138 0.0138 0.0138 0.0138 0.0138 0.01380.0121 0.0121 0.0121 0.0121 0.0121 0.0121 0.01210.0107 0.0107 0.0107 0.0107 0.0107 0.0107 0.01070.0087 0.00851 0.00848 0.0084 0.00825 0.00825 0.00825

0.00804 0.00775 0.00761 0.00747 0.00732 0.00721 0.007120.00738 0.00699 0.00673 0.00654 0.00639 0.00616 0.0062.0E+07 3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

2.0E+07 3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08 1E+063

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 01 1 1 1 1 1 10 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

2.0E+07 3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

2.0E+07 3.0E+07 4.0E+07 5.0E+07 6.0E+07 8.0E+07 1.0E+08

TANK ANALYSIS

TIME (s)0 306.71 236.804 287.47 306.10

TANK INPUT TEMP

Temperature - Tank Input (K)

Next Time (s)

Current Tank Surface

Temperature (K)

Temperature - Partition1

(K)

TANK ANALYSIS PANEL INPUT FLOW & TEMPERATURE

302.82 299.72 298.86 294.56 296.95 1 296.82


(K)


(K)


(K)


(K)


(K)

n (integer for tank

time step)

Temperature - Panel Input

(K)

0 200 400 600 800 1000 12000

2

4

6

8

10

12

Column AC


2.40E-05 296.95 2.40E-05 4.00E-06 0.83 629.05

Volumetric Flow Rate - Panel Input

(m^3/s)

Temperature - Input Mixed

(K)

Volumetric Flow Rate - Tank Siphon

Output (m^3/s)


Vertical Array Pipe (m^3/s)

Effective Collector

Heat Loss Coefficient (W/m^2*K)

Incident Insolation on

Absorber Plate

(W/m^2)

0 200 400 600 800 1000 12000

2

4

6

8

10

12

Column AC

COLLECTOR PANEL ANALYSIS THERMOSIPHON PRESSURE


(K)

Temperature - Panel

Output (K)

Temperature - Absorber Plate Position 1 (K)

Temperature - Absorber Plate Position 2 (K)

Thermosiphon Pressure (Pa)

Temperature - Tank Siphon Output and

System Input Average (K)

THERMOSIPHON PRESSURESYSTEM

FLOW RATE

MOODY FRICTIO

N FACTOR

Temperature - System Input

and Panel Input Average

(K)

Temperature - Panel

Output and Tank Input

Average (K)


Thermosiphon Effect (m^3/s)

Moody Friction Factor

TANK ANALYSIS

TIME (s)

TANK INPUT TEMP

Temperature - Tank Input

(K)Next Time

(s)

Current Tank Surface

Temperature (K)


(K)


(K)

TANK ANALYSIS PANEL INPUT FLOW & TEMPERATURE


(K)


(K)


(K)


(K)

n (integer for tank

time step)Temperature - Panel Input (K)

Volumetric Flow Rate - Panel Input

(m^3/s)


Temperature - Input Mixed

(K)

Volumetric Flow Rate - Tank Siphon

Output (m^3/s)


Vertical Array Pipe (m^3/s)

Effective Collector

Heat Loss Coefficient (W/m^2*K)

Incident Insolation on

Absorber Plate

(W/m^2)


(K)

THERMOSIPHON PRESSURE

Temperature - Panel

Output (K)

Temperature - Absorber

Plate Position 1 (K)

Temperature - Absorber

Plate Position 2 (K)

Thermosiphon

Pressure (Pa)

Temperature - Tank Siphon Output and

System Input Average (K)

Temperature - System Input and

Panel Input Average (K)

Temperature - Panel

Output and Tank Input

Average (K)

SYSTEM FLOW RATE

MOODY FRICTIO

N FACTOR


Thermosiphon Effect (m^3/s)

Moody Friction Factor

VIRTUALBENCH-LOGGER 2.5 REPORTNATIONAL INSTRUMENTSDATE CRE 9:07:51 4/15/2005

USER

START COMMENT

END COMMENT

START DATA

Date Time Time (s)4/15/2005 11:10:03 0 815.5902 284.372 298.228 308.021 298.359 305.262 314.7544/15/2005 11:10:27 24 815.9026 284.429 298.225 307.861 298.415 305.288 314.8154/15/2005 11:10:50 47 816.6455 284.515 298.264 307.935 298.389 305.377 314.8534/15/2005 11:11:14 71 817.7353 284.466 298.253 308.118 298.399 305.294 314.8854/15/2005 11:11:38 95 819.0668 284.499 298.234 308.063 298.431 305.354 314.8944/15/2005 11:12:01 118 820.5382 284.539 298.251 307.929 298.484 305.349 314.9324/15/2005 11:12:25 142 822.0685 284.54 298.355 308.095 298.501 305.394 314.9764/15/2005 11:12:49 166 823.6038 284.58 298.284 308.176 298.598 305.375 314.9644/15/2005 11:13:12 189 825.1153 284.523 298.279 308.308 298.557 305.464 315.034/15/2005 11:13:36 213 826.5904 284.449 298.28 307.894 298.463 305.371 314.9324/15/2005 11:14:00 237 828.0234 284.503 298.275 308.139 298.589 305.466 315.044/15/2005 11:14:23 260 829.4093 284.587 298.4 308.076 298.758 305.533 315.0554/15/2005 11:14:47 284 830.7438 284.605 298.403 308.379 298.688 305.535 315.1714/15/2005 11:15:11 308 832.0289 284.585 298.369 308.081 298.742 305.574 315.1314/15/2005 11:15:35 332 833.2771 284.588 298.445 308.27 298.693 305.541 315.1624/15/2005 11:15:58 355 834.5088 284.591 298.426 308.201 298.827 305.543 315.2074/15/2005 11:16:22 379 835.7402 284.587 298.363 308.218 298.801 305.474 315.1894/15/2005 11:16:46 403 836.9695 284.65 298.468 308.178 298.994 305.629 315.2484/15/2005 11:17:09 426 838.1722 284.609 298.392 308.261 298.889 305.546 315.2944/15/2005 11:17:33 450 839.3124 284.702 298.556 308.25 298.892 305.585 315.3894/15/2005 11:17:57 474 840.3653 284.645 298.566 308.46 299.056 305.66 315.424/15/2005 11:18:20 497 841.3383 284.633 298.533 308.563 299.11 305.591 315.3814/15/2005 11:18:44 521 842.2735 284.681 298.63 308.43 299.243 305.694 315.4894/15/2005 11:19:08 545 843.2274 284.758 298.654 308.768 299.26 305.725 315.594/15/2005 11:19:31 568 844.2394 284.708 298.649 308.735 299.306 305.677 315.5574/15/2005 11:19:55 592 845.3097 284.779 298.71 308.859 299.411 305.694 315.6734/15/2005 11:20:19 616 846.4024 284.692 298.743 308.662 299.444 305.734 315.5914/15/2005 11:20:42 639 847.4698 284.724 298.832 308.828 299.65 305.85 315.7624/15/2005 11:21:06 663 848.4813 284.785 298.826 308.744 299.549 305.866 315.7784/15/2005 11:21:30 687 849.4356 284.712 298.908 308.53 299.587 305.867 315.8354/15/2005 11:21:53 710 850.3512 284.766 298.968 308.711 299.581 305.948 315.8864/15/2005 11:22:17 734 851.2453 284.768 299.036 308.749 299.94 306 315.9584/15/2005 11:22:41 758 852.1196 284.807 299.067 308.801 299.818 306.01 315.9964/15/2005 11:23:04 781 852.9615 284.712 299.054 308.702 300.119 305.947 316.0124/15/2005 11:23:28 805 853.7576 284.72 299.15 308.818 300.011 306.027 316.0064/15/2005 11:23:52 829 854.5079 284.783 299.13 308.856 300.144 306.014 316.1564/15/2005 11:24:16 852 855.2327 284.852 299.256 309.208 300.102 306.088 316.2914/15/2005 11:24:39 876 855.9695 284.787 299.295 308.917 300.366 306.141 316.2724/15/2005 11:25:03 900 856.7642 284.872 299.348 309.183 300.259 306.164 316.352

Panel Insolation (W/m^2)

Tap Input (K)

Panel Input (K)

Panel Output (K)

Tank Siphon Output (K)

Tank Output (K)

Absorber Bottom (K)

4/15/2005 11:25:27 924 857.6602 284.821 299.394 309.107 300.516 306.174 316.344/15/2005 11:25:50 947 858.6886 284.921 299.534 309.252 300.547 306.298 316.4624/15/2005 11:26:14 971 859.8588 284.93 299.631 309.411 300.774 306.343 316.5484/15/2005 11:26:38 995 861.1545 284.865 299.684 309.556 300.704 306.388 316.5924/15/2005 11:27:01 1018 862.5339 284.928 299.767 309.322 300.808 306.412 316.6234/15/2005 11:27:25 1042 863.9397 284.952 299.841 309.374 300.955 306.435 316.7164/15/2005 11:27:49 1066 865.3186 284.976 299.85 309.618 300.964 306.473 316.7744/15/2005 11:28:12 1089 866.6438 285.075 299.968 309.62 301.096 306.582 316.9724/15/2005 11:28:36 1113 867.9313 284.987 299.963 309.879 301.272 306.526 316.9534/15/2005 11:29:00 1137 869.2361 284.981 300.037 309.587 301.187 306.571 317.064/15/2005 11:29:23 1160 870.6277 285.043 300.17 309.689 301.384 306.615 317.0754/15/2005 11:29:47 1184 872.1565 285.074 300.258 310.09 301.48 306.624 317.1264/15/2005 11:30:11 1208 873.8315 285.069 300.297 310.085 301.453 306.698 317.2684/15/2005 11:30:34 1231 875.6221 285.168 300.385 310.243 301.766 306.821 317.3964/15/2005 11:30:58 1255 877.4822 285.147 300.482 309.888 301.645 306.794 317.4684/15/2005 11:31:22 1279 879.3758 285.074 300.527 309.94 301.828 306.861 317.5124/15/2005 11:31:45 1302 881.2842 285.121 300.675 309.963 301.823 306.827 317.624/15/2005 11:32:09 1326 883.1911 285.115 300.691 310.243 301.883 306.958 317.6564/15/2005 11:32:33 1350 885.0607 285.147 300.788 310.202 302.052 306.938 317.7994/15/2005 11:32:57 1373 886.8345 285.239 300.993 310.318 302.126 307.141 317.9274/15/2005 11:33:20 1397 888.4525 285.152 300.894 310.591 302.172 307.093 3184/15/2005 11:33:44 1421 889.8864 285.199 301.056 310.579 302.348 307.232 318.0934/15/2005 11:34:08 1445 891.1598 285.21 301.074 310.525 302.359 307.199 318.1814/15/2005 11:34:31 1468 892.34 285.206 301.2 310.806 302.47 307.274 318.2824/15/2005 11:34:55 1492 893.5072 285.246 301.29 310.581 302.596 307.341 318.4184/15/2005 11:35:19 1516 894.7214 285.265 301.352 310.926 302.571 307.395 318.4564/15/2005 11:35:42 1539 896.0032 285.208 301.435 311.093 302.487 307.441 318.4944/15/2005 11:36:06 1563 897.3328 285.361 301.546 310.804 302.758 307.58 318.5954/15/2005 11:36:30 1587 898.6612 285.334 301.607 311.049 302.724 307.59 318.6824/15/2005 11:36:53 1610 899.9245 285.307 301.596 311.081 302.887 307.657 318.7134/15/2005 11:37:17 1634 901.0596 285.287 301.628 311.062 302.947 307.682 318.8284/15/2005 11:37:41 1658 902.0194 285.298 301.704 311.136 303.009 307.728 318.9364/15/2005 11:38:04 1681 902.7895 285.286 301.844 310.989 303.055 307.781 318.9814/15/2005 11:38:28 1705 903.4013 285.454 301.985 311.369 303.231 308.041 319.2644/15/2005 11:38:52 1729 903.9315 285.368 301.938 311.508 303.133 307.988 319.2254/15/2005 11:39:15 1752 904.4832 285.4 302.063 311.332 303.266 308.04 319.274/15/2005 11:39:39 1776 905.1528 285.447 302.109 311.832 303.195 308.135 319.374/15/2005 11:40:03 1800 905.9995 285.442 302.176 311.515 303.415 308.173 319.4284/15/2005 11:40:26 1823 907.0334 285.444 302.323 311.758 303.221 308.289 319.524/15/2005 11:40:50 1847 908.2235 285.475 302.382 311.603 303.57 308.398 319.6484/15/2005 11:41:14 1871 909.5152 285.417 302.348 311.782 303.463 308.407 319.6224/15/2005 11:41:38 1894 910.8416 285.584 302.516 312.083 303.711 308.566 319.8614/15/2005 11:42:01 1918 912.1248 285.533 302.569 311.992 303.64 308.532 319.9194/15/2005 11:42:25 1942 913.2777 285.625 302.549 311.852 303.613 308.548 319.9494/15/2005 11:42:49 1965 914.2174 285.597 302.71 312.024 303.781 308.607 320.1184/15/2005 11:43:12 1989 914.8936 285.547 302.64 311.82 303.755 308.617 320.0794/15/2005 11:43:36 2013 915.3184 285.631 302.786 312.191 303.835 308.74 320.224/15/2005 11:44:00 2037 915.5755 285.618 302.824 312.257 304.018 308.784 320.3264/15/2005 11:44:23 2060 915.7959 285.688 302.913 312.401 303.875 308.851 320.3774/15/2005 11:44:47 2084 916.1063 285.705 302.944 312.466 304.022 308.967 320.5334/15/2005 11:45:11 2108 916.5767 285.626 303.027 312.584 304.076 308.949 320.4534/15/2005 11:45:34 2131 917.1973 285.712 303.089 312.36 304.18 309.024 320.5684/15/2005 11:45:58 2155 917.901 285.731 303.143 312.634 304.112 309.021 320.6484/15/2005 11:46:22 2179 918.6163 285.667 303.154 312.63 304.217 309.061 320.652

4/15/2005 11:46:45 2202 919.3176 285.822 303.202 312.804 304.243 309.207 320.8314/15/2005 11:47:09 2226 920.0404 285.751 303.242 312.667 304.377 309.276 320.8774/15/2005 11:47:33 2250 920.8535 285.852 303.332 312.94 304.308 309.372 320.9154/15/2005 11:47:56 2273 921.8126 285.803 303.401 312.914 304.441 309.433 320.9394/15/2005 11:48:20 2297 922.9277 285.918 303.403 313.137 304.574 309.521 321.0324/15/2005 11:48:44 2321 924.1663 285.958 303.521 312.799 304.569 309.609 321.0764/15/2005 11:49:07 2344 925.4837 285.953 303.574 313.191 304.614 309.69 321.0994/15/2005 11:49:31 2368 926.8574 285.91 303.619 312.909 304.674 309.72 321.1924/15/2005 11:49:55 2392 928.2969 285.995 303.679 313.067 304.604 309.722 321.2364/15/2005 11:50:19 2415 929.8238 286.034 303.84 313.537 304.591 309.874 321.3774/15/2005 11:50:42 2439 931.4339 286.037 303.865 313.533 304.71 309.877 321.4014/15/2005 11:51:06 2463 933.0716 286.086 303.919 313.401 304.857 309.98 321.5584/15/2005 11:51:30 2486 934.6347 286.053 303.945 313.455 304.948 309.935 321.6114/15/2005 11:51:53 2510 936.01 286.035 303.942 313.658 304.866 310.025 321.6644/15/2005 11:52:17 2534 937.1155 286.129 304.04 313.676 304.964 310.242 321.8494/15/2005 11:52:41 2557 937.9277 286.111 304.131 313.758 305.033 310.275 321.8464/15/2005 11:53:04 2581 938.4806 286.19 304.127 313.471 305.109 310.229 321.9544/15/2005 11:53:28 2605 938.8446 286.141 304.138 313.68 304.997 310.275 321.9864/15/2005 11:53:52 2629 939.1035 286.138 304.135 313.685 305.066 310.272 321.9834/15/2005 11:54:15 2652 939.3365 286.18 304.269 313.752 305.171 310.291 322.0984/15/2005 11:54:39 2676 939.6091 286.229 304.216 313.919 305.161 310.452 322.1024/15/2005 11:55:03 2700 939.9689 286.278 304.328 313.916 305.157 310.519 322.1964/15/2005 11:55:26 2723 940.4461 286.236 304.309 313.65 305.24 310.573 322.2484/15/2005 11:55:50 2747 941.0585 286.262 304.312 313.971 305.156 310.547 322.2654/15/2005 11:56:14 2771 941.8133 286.265 304.431 314.102 305.217 310.635 322.3454/15/2005 11:56:37 2794 942.7048 286.26 304.426 313.949 305.306 310.667 322.344/15/2005 11:57:01 2818 943.7072 286.292 304.558 313.851 305.473 310.697 322.4394/15/2005 11:57:25 2842 944.7749 286.264 304.56 314.221 305.44 310.749 322.4834/15/2005 11:57:48 2865 945.8534 286.304 304.548 313.877 305.319 310.787 322.5484/15/2005 11:58:12 2889 946.8937 286.336 304.694 313.942 305.53 310.945 322.6474/15/2005 11:58:36 2913 947.8603 286.316 304.689 314.192 305.446 310.919 322.6364/15/2005 11:59:00 2936 948.7289 286.363 304.698 314.343 305.592 311.007 322.6244/15/2005 11:59:23 2960 949.4827 286.351 304.795 314.402 305.645 311.059 322.7314/15/2005 11:59:47 2984 950.1134 286.362 304.841 314.37 305.54 311.133 322.8034/15/2005 12:00:11 3007 950.6286 286.335 304.851 314.458 305.73 311.179 322.8344/15/2005 12:00:34 3031 951.0571 286.389 304.882 314.347 305.726 311.231 322.9614/15/2005 12:00:58 3055 951.4485 286.347 304.827 314.179 305.714 311.198 322.8394/15/2005 12:01:22 3078 951.8691 286.438 304.987 314.598 305.917 311.342 322.9794/15/2005 12:01:45 3102 952.3952 286.425 305.09 314.586 305.854 311.4 323.0924/15/2005 12:02:09 3126 953.1029 286.473 305.099 314.63 305.762 311.438 323.0734/15/2005 12:02:33 3149 954.0505 286.437 305.116 314.434 305.894 311.369 323.0894/15/2005 12:02:56 3173 955.2583 286.416 305.211 314.329 305.938 311.477 323.2014/15/2005 12:03:20 3197 956.6946 286.485 305.154 314.748 306.069 311.577 323.234/15/2005 12:03:44 3221 958.2803 286.5 305.248 314.734 306.047 311.62 323.34/15/2005 12:04:07 3244 959.9089 286.426 305.299 314.699 306.07 311.742 323.3914/15/2005 12:04:31 3268 961.4682 286.57 305.387 314.722 306.107 311.786 323.4694/15/2005 12:04:55 3292 962.8525 286.511 305.432 314.822 306.202 311.795 323.4984/15/2005 12:05:18 3315 963.9649 286.468 305.412 314.838 306.132 311.853 323.4864/15/2005 12:05:42 3339 964.7276 286.513 305.405 314.959 306.111 311.882 323.574/15/2005 12:06:06 3363 965.1055 286.424 305.478 314.832 306.183 311.947 323.6614/15/2005 12:06:29 3386 965.1366 286.447 305.471 315.065 306.256 311.933 323.6754/15/2005 12:06:53 3410 964.9392 286.604 305.507 315.193 306.176 311.954 323.7374/15/2005 12:07:17 3434 964.6828 286.56 305.507 315.397 306.227 312.011 323.8214/15/2005 12:07:40 3457 964.5311 286.567 305.558 315.087 306.184 311.99 323.8

4/15/2005 12:08:04 3481 964.59 286.538 305.537 315.334 306.271 311.962 323.8494/15/2005 12:08:28 3505 964.8885 286.643 305.638 315.667 306.336 312.09 323.9264/15/2005 12:08:52 3528 965.3958 286.651 305.667 315.251 306.466 312.134 324.0594/15/2005 12:09:15 3552 966.0604 286.601 305.676 315.507 306.439 312.128 324.0334/15/2005 12:09:39 3576 966.8427 286.64 305.685 315.325 306.476 312.244 324.0694/15/2005 12:10:03 3599 967.7285 286.686 305.723 315.496 306.543 312.309 324.0914/15/2005 12:10:26 3623 968.7223 286.711 305.775 315.674 306.53 312.347 324.1974/15/2005 12:10:50 3647 969.8289 286.729 305.871 315.62 306.432 312.406 324.2354/15/2005 12:11:14 3670 971.0382 286.732 305.867 315.736 306.572 312.501 324.3694/15/2005 12:11:37 3694 972.3183 286.683 305.856 315.549 306.712 312.533 324.4424/15/2005 12:12:01 3718 973.621 286.732 305.903 315.63 306.565 312.643 324.5844/15/2005 12:12:25 3742 974.8961 286.765 305.942 315.795 306.603 312.596 324.8854/15/2005 12:12:48 3765 976.1056 286.715 305.945 315.749 306.822 312.585 325.134/15/2005 12:13:12 3789 977.232 286.777 306.018 315.624 306.795 312.764 325.4094/15/2005 12:13:36 3813 978.2748 286.808 306.034 315.59 306.724 312.759 325.7224/15/2005 12:13:59 3836 979.238 286.773 306.015 315.796 306.791 312.725 326.0284/15/2005 12:14:23 3860 980.118 286.781 306.138 315.755 306.828 312.804 326.3194/15/2005 12:14:47 3884 980.9001 286.865 306.161 315.728 306.951 312.968 326.4244/15/2005 12:15:10 3907 981.5654 286.852 306.206 315.913 306.896 312.942 326.3994/15/2005 12:15:34 3931 982.1008 286.907 306.193 315.788 306.955 313.043 326.3244/15/2005 12:15:58 3955 982.5024 286.916 306.217 315.987 306.964 313.038 326.0774/15/2005 12:16:21 3978 982.7722 287 306.276 315.721 306.93 313.061 325.9264/15/2005 12:16:45 4002 982.9136 286.934 306.284 315.948 306.996 313.083 325.6994/15/2005 12:17:09 4026 982.9378 286.928 306.264 315.913 307.025 313.02 325.5554/15/2005 12:17:33 4049 982.8773 286.921 306.351 316.21 306.962 313.021 325.4664/15/2005 12:17:56 4073 982.8004 287.027 306.33 315.992 307.077 313.079 325.4534/15/2005 12:18:20 4097 982.8098 286.953 306.374 316.015 306.963 313.122 325.354/15/2005 12:18:44 4120 983.0189 287.021 306.411 316.185 307.029 313.109 325.3654/15/2005 12:19:07 4144 983.5105 286.941 306.406 316.44 307.11 313.153 325.3734/15/2005 12:19:31 4168 984.2968 287.047 306.436 315.963 307.061 313.191 325.4034/15/2005 12:19:55 4191 985.3039 287.004 306.402 316.387 307.077 313.171 325.2874/15/2005 12:20:18 4215 986.396 287.043 306.453 316.332 307.157 313.314 325.3574/15/2005 12:20:42 4239 987.4271 287.051 306.433 316.107 307.309 313.315 325.3654/15/2005 12:21:06 4262 988.2953 287.112 306.506 316.447 307.339 313.401 325.4354/15/2005 12:21:29 4286 988.9657 287.106 306.586 316.434 307.333 313.43 325.4574/15/2005 12:21:53 4310 989.4571 287.084 306.651 316.406 307.34 313.537 325.4164/15/2005 12:22:17 4334 989.8045 287.212 306.68 316.611 307.506 313.573 325.5064/15/2005 12:22:40 4357 990.0296 287.168 306.631 316.478 307.478 313.546 325.5144/15/2005 12:23:04 4381 990.1353 287.102 306.668 316.226 307.408 313.547 325.4324/15/2005 12:23:28 4405 990.1213 287.163 306.706 316.523 307.424 313.534 325.4964/15/2005 12:23:51 4428 990.0017 287.203 306.765 316.722 307.426 313.579 325.5954/15/2005 12:24:15 4452 989.8106 287.227 306.752 316.308 307.635 313.609 325.594/15/2005 12:24:39 4476 989.5945 287.236 306.783 316.486 307.465 313.61 325.6124/15/2005 12:25:02 4499 989.4039 287.216 306.777 316.41 307.588 313.64 325.6344/15/2005 12:25:26 4523 989.2896 287.277 306.836 316.405 307.619 313.684 325.6774/15/2005 12:25:50 4547 989.3038 287.287 306.824 316.597 307.7 313.701 325.6594/15/2005 12:26:14 4570 989.4956 287.364 306.898 316.958 307.666 313.766 325.6814/15/2005 12:26:37 4594 989.8991 287.291 306.9 316.503 307.539 313.62 325.7254/15/2005 12:27:01 4618 990.5167 287.308 306.923 316.842 307.62 313.749 325.7474/15/2005 12:27:25 4641 991.3067 287.295 306.925 316.682 307.643 313.814 325.8184/15/2005 12:27:48 4665 992.1809 287.244 306.89 316.775 307.73 313.78 325.7994/15/2005 12:28:12 4689 993.0183 287.401 307.027 316.993 307.888 313.944 325.8824/15/2005 12:28:36 4712 993.6956 287.336 306.993 316.903 307.911 313.867 325.8284/15/2005 12:28:59 4736 994.1275 287.373 307.072 317.192 307.84 313.896 325.953

4/15/2005 12:29:23 4760 994.3007 287.366 307.13 316.96 308.005 313.91 326.0224/15/2005 12:29:47 4783 994.2825 287.433 307.23 317.058 307.919 313.952 326.1264/15/2005 12:30:10 4807 994.1972 287.434 307.216 317.136 307.991 313.974 326.1334/15/2005 12:30:34 4831 994.1787 287.36 307.203 316.919 308.014 313.975 326.1074/15/2005 12:30:58 4854 994.3216 287.354 307.198 317.153 308.166 314.005 326.1364/15/2005 12:31:21 4878 994.6521 287.409 307.243 316.895 308.039 314.008 326.2214/15/2005 12:31:45 4902 995.1269 287.479 307.31 317.461 308.142 314.032 326.2314/15/2005 12:32:09 4926 995.6556 287.311 307.278 317.07 308.16 314.092 326.2144/15/2005 12:32:32 4949 996.1337 287.457 307.404 317.285 308.365 314.103 326.2594/15/2005 12:32:56 4973 996.4755 287.446 307.501 317.127 308.389 314.177 326.3044/15/2005 12:33:20 4997 996.6403 287.524 307.497 317.264 308.514 314.216 326.3694/15/2005 12:33:43 5020 996.6466 287.431 307.493 317.147 308.432 314.283 326.2964/15/2005 12:34:07 5044 996.5687 287.501 307.575 317.46 308.485 314.314 326.4174/15/2005 12:34:31 5068 996.5097 287.467 307.564 317.203 308.539 314.254 326.3854/15/2005 12:34:55 5091 996.5586 287.567 307.688 317.261 308.698 314.39 326.4844/15/2005 12:35:18 5115 996.7497 287.503 307.663 317.672 308.644 314.33 326.4534/15/2005 12:35:42 5139 997.0506 287.55 307.722 317.682 308.668 314.389 326.514/15/2005 12:36:06 5162 997.3882 287.501 307.768 317.53 308.707 314.427 326.5764/15/2005 12:36:29 5186 997.6978 287.602 307.808 317.477 308.818 314.43 326.6344/15/2005 12:36:53 5210 997.9636 287.635 307.883 317.614 309.042 314.525 326.7134/15/2005 12:37:17 5233 998.2297 287.72 307.921 317.68 308.981 314.514 326.6884/15/2005 12:37:40 5257 998.5781 287.888 308.032 317.739 309.148 314.602 326.7674/15/2005 12:38:04 5281 999.0933 287.868 308.006 317.629 309.065 314.598 326.7974/15/2005 12:38:28 5304 999.8302 287.886 308.116 317.843 309.175 314.65 326.8484/15/2005 12:38:51 5328 1000.794 287.979 308.14 318.14 309.271 314.695 326.8514/15/2005 12:39:15 5352 1001.935 287.981 308.2 317.855 309.095 314.683 326.8474/15/2005 12:39:39 5375 1003.159 288.089 308.232 317.893 309.333 314.799 326.964/15/2005 12:40:02 5399 1004.357 288.077 308.263 317.804 309.386 314.88 326.9694/15/2005 12:40:26 5423 1005.443 288.184 308.323 317.87 309.389 314.903 327.0414/15/2005 12:40:50 5446 1006.388 288.202 308.426 318.196 309.62 314.934 327.1264/15/2005 12:41:13 5470 1007.237 288.263 308.485 318.113 309.7 315.007 327.1834/15/2005 12:41:37 5494 1008.089 288.385 308.58 318.389 309.702 315.03 327.244/15/2005 12:42:01 5518 1009.051 288.394 308.625 318.166 309.569 315.018 327.274/15/2005 12:42:24 5541 1010.183 288.396 308.72 318.512 309.799 315.069 327.3274/15/2005 12:42:48 5565 1011.458 288.421 308.757 318.219 309.844 315.127 327.394/15/2005 12:43:12 5589 1012.754 288.52 308.795 318.157 309.974 315.143 327.424/15/2005 12:43:36 5612 1013.901 288.611 308.954 318.713 310.097 315.257 327.5524/15/2005 12:43:59 5636 1014.764 288.59 308.948 318.498 310.184 315.266 327.6164/15/2005 12:44:23 5660 1015.309 288.704 309.072 318.633 310.122 315.374 327.8044/15/2005 12:44:47 5683 1015.632 288.7 309.046 318.53 310.225 315.307 327.694/15/2005 12:45:10 5707 1015.907 288.807 309.156 318.666 310.206 315.422 327.7474/15/2005 12:45:34 5731 1016.287 288.832 309.23 318.823 310.358 315.502 327.8054/15/2005 12:45:58 5754 1016.818 288.806 309.27 318.666 310.448 315.443 327.8164/15/2005 12:46:21 5778 1017.415 288.861 309.415 319.236 310.771 315.586 327.9764/15/2005 12:46:45 5802 1017.915 288.932 309.448 319.24 310.668 315.653 328.0284/15/2005 12:47:09 5825 1018.173 288.959 309.48 318.97 310.736 315.693 328.0744/15/2005 12:47:32 5849 1018.14 289.075 309.577 318.848 310.761 315.704 328.1674/15/2005 12:47:56 5873 1017.879 289.056 309.659 318.809 310.622 315.841 328.2324/15/2005 12:48:20 5896 1017.529 289.097 309.634 319.023 310.825 315.824 328.2014/15/2005 12:48:43 5920 1017.229 289.257 309.716 319.398 311.092 315.855 328.3834/15/2005 12:49:07 5944 1017.057 289.223 309.819 319.205 310.988 315.929 328.3664/15/2005 12:49:31 5967 1017.005 289.22 309.859 319.377 311.042 315.855 328.4594/15/2005 12:49:54 5991 1016.991 289.284 309.927 319.339 311.011 315.986 328.5114/15/2005 12:50:18 6015 1016.895 289.288 309.867 319.574 311.157 315.955 328.66

4/15/2005 12:50:42 6039 1016.61 289.307 309.97 319.71 311.111 315.972 328.784/15/2005 12:51:05 6062 1016.075 289.266 310.01 319.623 311.236 315.969 328.7774/15/2005 12:51:29 6086 1015.29 289.456 310.099 319.794 311.303 316.05 328.894/15/2005 12:51:53 6110 1014.312 289.385 310.074 319.749 311.278 315.99 328.9084/15/2005 12:52:16 6133 1013.238 289.492 310.177 319.871 311.417 316.014 328.9594/15/2005 12:52:40 6157 1012.185 289.539 310.321 320.055 311.468 316.192 329.0984/15/2005 12:53:04 6181 1011.259 289.616 310.345 320.134 311.62 316.138 329.1414/15/2005 12:53:28 6204 1010.537 289.641 310.362 319.962 311.715 316.254 329.0964/15/2005 12:53:51 6228 1010.049 289.8 310.35 320.083 311.568 316.207 329.1464/15/2005 12:54:15 6252 1009.775 289.817 310.502 320.225 311.748 316.328 329.214/15/2005 12:54:39 6275 1009.666 289.796 310.51 320.219 311.785 316.4 329.2874/15/2005 12:55:02 6299 1009.661 289.819 310.546 320.429 311.75 316.401 329.3154/15/2005 12:55:26 6323 1009.716 289.945 310.682 320.324 311.977 316.506 329.4114/15/2005 12:55:50 6346 1009.806 289.841 310.653 320.331 311.863 316.464 329.394/15/2005 12:56:13 6370 1009.918 289.87 310.809 320.519 312.019 316.54 329.4584/15/2005 12:56:37 6394 1010.051 289.966 310.822 320.546 312.054 316.624 329.4924/15/2005 12:57:01 6417 1010.227 289.935 310.865 320.343 312.153 316.659 329.5394/15/2005 12:57:24 6441 1010.508 289.949 310.949 320.538 312.244 316.735 329.5794/15/2005 12:57:48 6465 1010.996 289.962 311.005 320.781 312.221 316.847 329.644/15/2005 12:58:12 6488 1011.795 290.094 311.131 320.709 312.226 316.852 329.7074/15/2005 12:58:35 6512 1012.966 290.085 311.157 320.539 312.317 316.92 329.6914/15/2005 12:58:59 6536 1014.483 290.083 311.234 320.467 312.208 316.995 329.7924/15/2005 12:59:23 6559 1016.232 290.125 311.303 320.808 312.455 317.085 329.8724/15/2005 12:59:46 6583 1018.048 290.213 311.372 320.855 312.609 317.118 330.0224/15/2005 13:00:10 6607 1019.765 290.181 311.456 321.091 312.572 317.208 330.0274/15/2005 13:00:34 6631 1021.261 290.105 311.49 321.131 312.634 317.263 330.0734/15/2005 13:00:57 6654 1022.473 290.176 311.594 321.191 312.496 317.323 330.1534/15/2005 13:01:21 6678 1023.388 290.27 311.705 321.209 312.906 317.398 330.1714/15/2005 13:01:45 6702 1024.031 290.238 311.674 321.207 312.761 317.515 330.2934/15/2005 13:02:09 6725 1024.462 290.237 311.758 321.017 312.937 317.521 330.2774/15/2005 13:02:32 6749 1024.776 290.376 311.913 321.288 313.056 317.639 330.4344/15/2005 13:02:56 6773 1025.095 290.473 311.948 321.281 313.099 317.597 330.4064/15/2005 13:03:20 6796 1025.537 290.606 311.99 321.406 313.162 317.701 330.4674/15/2005 13:03:43 6820 1026.168 290.501 312.025 321.231 313.055 317.785 330.5084/15/2005 13:04:07 6844 1026.961 290.607 312.119 321.469 313.226 317.857 330.5434/15/2005 13:04:31 6867 1027.79 290.586 312.163 321.771 313.207 317.915 330.7034/15/2005 13:04:54 6891 1028.472 290.589 312.202 321.857 313.259 317.938 330.7744/15/2005 13:05:18 6915 1028.827 290.652 312.347 321.672 313.355 318.054 330.8664/15/2005 13:05:42 6938 1028.736 290.672 312.281 321.74 313.487 317.981 330.8844/15/2005 13:06:05 6962 1028.17 290.788 312.413 322.085 313.42 318.091 330.9774/15/2005 13:06:29 6986 1027.184 290.777 312.424 321.929 313.531 318.06 331.0574/15/2005 13:06:53 7009 1025.9 290.827 312.401 322.06 313.649 318.037 331.114/15/2005 13:07:16 7033 1024.467 290.914 312.477 321.841 313.64 318.063 331.1494/15/2005 13:07:40 7057 1023.035 290.867 312.496 322.187 313.453 318.053 331.2084/15/2005 13:08:04 7080 1021.726 290.99 312.571 322.011 313.692 318.107 331.3084/15/2005 13:08:27 7104 1020.633 290.987 312.596 322.063 313.688 318.125 331.3124/15/2005 13:08:51 7128 1019.824 291.08 312.614 322.199 313.713 318.192 331.3844/15/2005 13:09:15 7151 1019.335 291.046 312.66 322.495 313.794 318.237 331.3944/15/2005 13:09:38 7175 1019.163 291.034 312.676 322.233 313.698 318.317 331.434/15/2005 13:10:02 7199 1019.259 291.103 312.742 322.339 313.912 318.396 331.4464/15/2005 13:10:26 7223 1019.525 291.068 312.858 322.404 313.907 318.433 331.4764/15/2005 13:10:50 7246 1019.85 291.047 312.881 322.621 313.895 318.498 331.5734/15/2005 13:11:13 7270 1020.15 291.109 312.968 322.567 314.088 318.563 331.6294/15/2005 13:11:37 7294 1020.405 291.126 312.985 322.41 314.083 318.572 331.618

4/15/2005 13:12:01 7317 1020.657 291.209 313.036 322.529 314.127 318.665 331.644/15/2005 13:12:24 7341 1020.984 291.137 313.052 322.636 313.973 318.597 331.6564/15/2005 13:12:48 7365 1021.446 291.22 313.146 322.791 314.237 318.823 331.7464/15/2005 13:13:12 7388 1022.054 291.267 313.155 322.786 314.21 318.825 331.7214/15/2005 13:13:35 7412 1022.762 291.388 313.299 322.767 314.354 318.904 331.7844/15/2005 13:13:59 7436 1023.495 291.531 313.386 322.846 314.257 318.99 331.8274/15/2005 13:14:23 7459 1024.187 291.638 313.424 323.119 314.514 319.112 331.8234/15/2005 13:14:46 7483 1024.805 291.67 313.405 323.024 314.495 319.17 331.9284/15/2005 13:15:10 7507 1025.348 291.585 313.387 323.07 314.464 319.118 331.9114/15/2005 13:15:34 7530 1025.823 291.567 313.491 323.06 314.553 319.136 331.9834/15/2005 13:15:57 7554 1026.227 291.668 313.538 323.064 314.607 319.246 332.0494/15/2005 13:16:21 7578 1026.539 291.91 313.578 323.006 314.732 319.257 332.1294/15/2005 13:16:45 7601 1026.722 291.878 313.597 323.123 314.61 319.185 332.1484/15/2005 13:17:08 7625 1026.725 291.89 313.616 323.015 314.67 319.26 332.2064/15/2005 13:17:32 7649 1026.49 291.903 313.67 323.229 314.611 319.348 332.2254/15/2005 13:17:56 7672 1025.968 291.892 313.78 323.191 314.757 319.415 332.314/15/2005 13:18:19 7696 1025.159 292.104 313.763 323.501 314.761 319.419 332.3624/15/2005 13:18:43 7720 1024.136 292.078 313.894 323.428 314.913 319.521 332.3594/15/2005 13:19:07 7744 1023.053 292.141 313.806 323.355 314.776 319.427 332.3764/15/2005 13:19:31 7767 1022.097 292.167 313.923 323.324 314.885 319.543 332.4284/15/2005 13:19:54 7791 1021.408 292.12 313.828 323.412 314.889 319.547 332.4664/15/2005 13:20:18 7815 1021.021 292.123 313.987 323.519 315.034 319.57 332.5034/15/2005 13:20:42 7838 1020.853 292.104 313.955 323.592 315.009 319.546 332.544/15/2005 13:21:05 7862 1020.761 292.07 313.972 323.386 315.011 319.654 332.5364/15/2005 13:21:29 7886 1020.624 292.162 314.109 323.36 315.064 319.698 332.5864/15/2005 13:21:53 7909 1020.402 292.127 314.083 323.606 315.102 319.75 332.6574/15/2005 13:22:16 7933 1020.148 292.123 314.15 323.727 315.034 319.711 332.6464/15/2005 13:22:40 7957 1019.962 292.149 314.075 323.689 315.108 319.756 332.6974/15/2005 13:23:04 7980 1019.936 292.159 314.177 324.018 315.315 319.801 332.834/15/2005 13:23:27 8004 1020.105 292.148 314.159 323.667 315.206 319.741 332.7994/15/2005 13:23:51 8028 1020.432 292.18 314.268 323.808 315.208 319.834 332.7884/15/2005 13:24:15 8051 1020.824 292.161 314.229 323.86 315.331 319.823 332.8794/15/2005 13:24:38 8075 1021.168 292.127 314.238 323.897 315.341 319.854 332.8274/15/2005 13:25:02 8099 1021.376 292.07 314.304 323.851 315.343 319.891 332.9594/15/2005 13:25:26 8122 1021.416 292.057 314.342 324.082 315.359 319.914 332.9414/15/2005 13:25:49 8146 1021.311 292.095 314.484 323.993 315.516 320.055 333.0174/15/2005 13:26:13 8170 1021.121 292.089 314.486 324.133 315.475 320.12 332.974/15/2005 13:26:37 8193 1020.908 292.128 314.65 324.148 315.519 320.142 333.0334/15/2005 13:27:00 8217 1020.716 292.019 314.56 324.032 315.584 320.2 333.0354/15/2005 13:27:24 8241 1020.573 292.036 314.583 324.076 315.601 320.154 333.0444/15/2005 13:27:48 8264 1020.49 292.157 314.664 324.211 315.631 320.177 333.0954/15/2005 13:28:12 8288 1020.469 292.138 314.666 324.164 315.606 320.172 333.1114/15/2005 13:28:35 8312 1020.496 292.192 314.654 324.285 315.657 320.245 333.1474/15/2005 13:28:59 8336 1020.543 292.246 314.748 324.162 315.666 320.344 333.2584/15/2005 13:29:23 8359 1020.57 292.263 314.771 324.372 315.816 320.346 333.2944/15/2005 13:29:46 8383 1020.535 292.316 314.921 324.456 315.768 320.341 333.3024/15/2005 13:30:10 8407 1020.414 292.333 314.93 324.444 315.918 320.398 333.3794/15/2005 13:30:34 8430 1020.207 292.32 314.84 324.432 315.8 320.386 333.3674/15/2005 13:30:57 8454 1019.936 292.463 314.955 324.712 315.824 320.479 333.4174/15/2005 13:31:21 8478 1019.639 292.517 314.929 324.006 315.868 320.544 333.4464/15/2005 13:31:45 8501 1019.361 292.726 315.016 324.14 315.863 320.442 333.3324/15/2005 13:32:08 8525 1019.151 292.654 315.018 324.156 315.963 320.52 333.4974/15/2005 13:32:32 8549 1019.054 292.59 315.027 324.311 315.973 320.452 333.4044/15/2005 13:32:56 8572 1019.104 292.761 315.092 324.242 315.995 320.516 333.487

4/15/2005 13:33:19 8596 1019.304 292.733 315.115 324.279 315.99 320.567 333.4414/15/2005 13:33:43 8620 1019.626 292.675 315.186 324.411 316.104 320.652 333.5314/15/2005 13:34:07 8643 1020.024 292.913 315.18 324.503 316.175 320.702 333.5594/15/2005 13:34:30 8667 1020.458 292.714 315.216 324.469 316.253 320.703 333.5334/15/2005 13:34:54 8691 1020.903 292.804 315.267 324.505 316.163 320.746 333.5754/15/2005 13:35:18 8714 1021.341 292.872 315.367 324.658 316.248 320.816 333.5894/15/2005 13:35:41 8738 1021.737 292.895 315.459 324.631 316.419 320.915 333.6724/15/2005 13:36:05 8762 1022.025 293.193 315.447 324.627 316.329 320.945 333.6744/15/2005 13:36:29 8785 1022.122 293.003 315.394 324.56 316.395 320.85 333.6424/15/2005 13:36:52 8809 1021.966 293.154 315.495 324.791 316.447 320.978 333.7544/15/2005 13:37:16 8833 1021.552 293.128 315.562 324.906 316.514 320.989 333.8264/15/2005 13:37:40 8856 1020.941 293.301 315.593 324.832 316.468 321.02 333.8424/15/2005 13:38:04 8880 1020.234 293.253 315.59 324.87 316.485 321.093 333.8594/15/2005 13:38:27 8904 1019.513 293.279 315.621 324.853 316.552 321.075 333.8894/15/2005 13:38:51 8928 1018.805 293.385 315.666 325.16 316.639 321.029 333.9814/15/2005 13:39:15 8951 1018.084 293.315 315.649 325.087 316.657 321.081 334.0254/15/2005 13:39:38 8975 1017.306 293.525 315.651 325.153 316.617 321.042 334.0754/15/2005 13:40:02 8999 1016.452 293.454 315.718 325.155 316.662 321.024 334.1194/15/2005 13:40:26 9022 1015.555 293.729 315.798 325.282 316.721 321.096 334.1424/15/2005 13:40:49 9046 1014.684 293.902 315.73 325.327 316.752 321.078 334.1444/15/2005 13:41:13 9070 1013.922 293.882 315.887 325.419 316.726 321.178 334.2354/15/2005 13:41:37 9093 1013.337 294.253 315.833 325.545 316.876 321.208 334.2714/15/2005 13:42:00 9117 1012.973 294.042 315.856 325.312 316.984 321.175 334.2534/15/2005 13:42:24 9141 1012.829 294.125 315.964 325.279 316.936 321.338 334.2884/15/2005 13:42:48 9164 1012.852 294.481 315.98 325.524 317.051 321.347 334.254/15/2005 13:43:11 9188 1012.944 294.313 316.074 325.435 317.081 321.411 334.2784/15/2005 13:43:35 9212 1012.989 294.58 316.118 325.728 317.125 321.427 334.3554/15/2005 13:43:59 9235 1012.893 294.508 316.133 325.778 317.176 321.526 334.4184/15/2005 13:44:22 9259 1012.621 294.687 316.191 325.814 317.234 321.514 334.3724/15/2005 13:44:46 9283 1012.196 294.431 316.201 325.602 317.165 321.544 334.3544/15/2005 13:45:10 9306 1011.682 294.293 316.238 325.652 317.188 321.546 334.3964/15/2005 13:45:33 9330 1011.142 294.869 316.281 325.771 317.394 321.658 334.4864/15/2005 13:45:57 9354 1010.615 294.767 316.297 325.717 317.282 321.653 334.444/15/2005 13:46:21 9377 1010.106 294.784 316.404 325.815 317.474 321.703 334.4894/15/2005 13:46:45 9401 1009.606 294.793 316.343 325.838 317.342 321.615 334.5044/15/2005 13:47:08 9425 1009.115 294.883 316.457 325.811 317.519 321.693 334.5874/15/2005 13:47:32 9448 1008.666 294.958 316.451 325.744 317.535 321.666 334.5964/15/2005 13:47:56 9472 1008.326 295.211 316.488 325.635 317.544 321.71 334.6664/15/2005 13:48:19 9496 1008.181 294.889 316.533 325.831 317.623 321.614 334.6674/15/2005 13:48:43 9520 1008.301 295.023 316.619 325.895 317.562 321.805 334.6564/15/2005 13:49:07 9543 1008.701 295.453 316.734 326.07 317.867 321.898 334.764/15/2005 13:49:30 9567 1009.318 295.676 316.779 325.872 317.848 321.893 334.7354/15/2005 13:49:54 9591 1010.026 295.567 316.858 325.894 317.744 322.062 334.8254/15/2005 13:50:18 9614 1010.667 295.642 316.972 326.152 318.111 322.07 334.8614/15/2005 13:50:41 9638 1011.099 295.52 316.826 325.946 318.141 322.045 334.7814/15/2005 13:51:05 9662 1011.226 295.779 317.004 325.962 318.255 322.102 334.8374/15/2005 13:51:29 9685 1011.008 295.95 317.119 325.992 318.047 322.146 334.9554/15/2005 13:51:52 9709 1010.457 296.026 317.178 326.132 318.126 322.155 334.954/15/2005 13:52:16 9733 1009.632 296.08 317.166 326.328 318.311 322.185 335.0894/15/2005 13:52:40 9756 1008.621 295.818 317.175 326.282 318.314 322.125 335.0034/15/2005 13:53:03 9780 1007.522 296.151 317.255 326.208 318.379 322.148 335.0864/15/2005 13:53:27 9804 1006.42 296.227 317.236 326.535 318.297 322.116 335.0684/15/2005 13:53:51 9827 1005.362 296.442 317.336 326.572 318.496 322.243 335.1724/15/2005 13:54:14 9851 1004.359 296.436 317.402 326.477 318.364 322.259 335.188

4/15/2005 13:54:38 9875 1003.402 296.387 317.439 326.624 318.577 322.247 335.2514/15/2005 13:55:02 9898 1002.486 296.499 317.441 326.467 318.572 322.27 335.2874/15/2005 13:55:26 9922 1001.623 296.369 317.463 326.662 318.622 322.285 335.3424/15/2005 13:55:49 9946 1000.844 296.458 317.563 326.636 318.778 322.356 335.3854/15/2005 13:56:13 9969 1000.184 296.401 317.558 326.665 318.639 322.427 335.4674/15/2005 13:56:37 9993 999.6746 296.336 317.615 326.756 318.753 322.45 335.4694/15/2005 13:57:00 10017 999.3423 296.397 317.702 327.02 318.818 322.521 335.4234/15/2005 13:57:24 10041 999.223 296.391 317.745 326.863 318.882 322.46 335.4794/15/2005 13:57:48 10064 999.3629 296.378 317.753 326.781 318.87 322.419 335.4194/15/2005 13:58:11 10088 999.7997 296.386 317.944 327.003 319.193 322.636 335.5564/15/2005 13:58:35 10112 1000.526 296.447 317.988 327.129 319.097 322.805 335.5574/15/2005 13:58:59 10135 1001.456 296.412 318.032 327.076 319.176 322.807 335.5464/15/2005 13:59:22 10159 1002.428 296.466 318.139 327.326 319.325 322.865 335.7044/15/2005 13:59:46 10183 1003.246 296.578 318.135 327.128 319.222 322.776 335.7194/15/2005 14:00:10 10206 1003.746 296.653 318.213 327.288 319.23 322.861 335.854/15/2005 14:00:33 10230 1003.844 296.677 318.264 327.263 319.387 322.926 335.9064/15/2005 14:00:57 10254 1003.537 296.51 318.217 327.299 319.36 322.823 335.8954/15/2005 14:01:21 10277 1002.862 296.666 318.339 327.363 319.467 322.944 336.0194/15/2005 14:01:44 10301 1001.853 296.794 318.384 327.545 319.568 323.065 336.0214/15/2005 14:02:08 10325 1000.525 296.797 318.463 327.258 319.571 323.067 336.0244/15/2005 14:02:32 10348 998.8951 296.925 318.481 327.455 319.666 323.029 336.0344/15/2005 14:02:55 10372 997.0159 297.097 318.603 327.348 319.704 323.095 336.1124/15/2005 14:03:19 10396 994.9903 297.079 318.572 327.337 319.574 323.001 336.1424/15/2005 14:03:43 10419 992.9557 297.016 318.582 327.492 319.899 323.052 336.1934/15/2005 14:04:07 10443 991.0518 296.968 318.564 327.55 319.846 323.042 336.2844/15/2005 14:04:30 10467 989.3899 297.015 318.805 327.615 319.695 323.191 336.3484/15/2005 14:04:54 10490 988.0362 297.092 318.717 327.605 319.901 323.124 336.3044/15/2005 14:05:18 10514 987.007 297.073 318.671 327.69 319.876 323.127 336.3334/15/2005 14:05:41 10538 986.2711 297.135 318.815 327.7 319.928 323.137 336.4114/15/2005 14:06:05 10561 985.7587 297.203 318.866 327.847 319.994 323.265 336.4344/15/2005 14:06:29 10585 985.3784 297.125 318.904 327.809 320.164 323.226 336.4644/15/2005 14:06:52 10609 985.0391 297.224 318.963 327.956 320.105 323.278 336.5484/15/2005 14:07:16 10633 984.6678 297.242 318.981 328.008 320.122 323.344 336.5514/15/2005 14:07:40 10656 984.2167 297.304 319.089 328.08 320.174 323.333 336.5894/15/2005 14:08:03 10680 983.6626 297.095 319.099 328.138 320.184 323.364 336.5984/15/2005 14:08:27 10704 983.0083 297.31 319.193 328.058 320.257 323.471 336.6954/15/2005 14:08:51 10727 982.2882 297.122 319.23 328.212 320.434 323.41 336.6714/15/2005 14:09:14 10751 981.571 297.365 319.225 328.241 320.345 323.44 336.7874/15/2005 14:09:38 10775 980.9495 297.162 319.31 328.339 320.381 323.601 336.834/15/2005 14:10:02 10798 980.514 297.142 319.404 327.928 320.474 323.583 336.7914/15/2005 14:10:25 10822 980.3199 297.385 319.461 328.418 320.511 323.535 336.824/15/2005 14:10:49 10846 980.3637 297.19 319.498 328.083 320.569 323.628 336.7544/15/2005 14:11:13 10869 980.5766 297.317 319.493 328.333 320.592 323.692 336.7764/15/2005 14:11:36 10893 980.8373 297.333 319.628 328.183 320.824 323.701 336.7914/15/2005 14:12:00 10917 981.0002 297.342 319.622 328.343 320.748 323.779 336.9964/15/2005 14:12:24 10940 980.933 297.49 319.778 328.585 320.785 323.863 336.9844/15/2005 14:12:48 10964 980.5573 297.418 319.821 328.614 321.059 323.92 337.0264/15/2005 14:13:11 10988 979.8753 297.522 319.83 328.595 320.913 323.901 337.0754/15/2005 14:13:35 11011 978.9694 297.384 319.775 328.637 320.977 323.937 337.1374/15/2005 14:13:59 11035 977.9682 297.436 319.923 328.776 321.069 324.007 337.1724/15/2005 14:14:22 11059 976.9949 297.395 319.974 328.709 321.148 323.94 337.0384/15/2005 14:14:46 11082 976.1251 297.433 319.961 328.711 321.115 323.928 337.1684/15/2005 14:15:10 11106 975.3776 297.449 320.075 328.939 321.207 324.013 337.2724/15/2005 14:15:33 11130 974.7384 297.407 320.098 328.838 321.181 324.098 337.348

4/15/2005 14:15:57 11153 974.1937 297.476 320.199 328.999 321.184 324.184 337.3574/15/2005 14:16:21 11177 973.7432 297.412 320.095 329.062 321.192 324.123 337.2844/15/2005 14:16:44 11201 973.3864 297.465 320.265 329.188 321.355 324.187 337.3674/15/2005 14:17:08 11225 973.1001 297.482 320.337 329.3 321.405 324.369 337.4034/15/2005 14:17:32 11248 972.8348 297.512 320.352 329.218 321.469 324.384 337.4244/15/2005 14:17:55 11272 972.5355 297.623 320.395 329.253 321.526 324.441 337.4524/15/2005 14:18:19 11296 972.1713 297.712 320.438 329.358 321.402 324.407 337.4744/15/2005 14:18:43 11319 971.7497 297.624 320.494 329.385 321.583 324.428 337.5764/15/2005 14:19:06 11343 971.3107 297.721 320.488 329.283 321.598 324.519 337.594/15/2005 14:19:30 11367 970.907 297.67 320.594 329.38 321.606 324.541 337.6184/15/2005 14:19:54 11390 970.5835 297.599 320.546 329.361 321.573 324.522 337.6264/15/2005 14:20:17 11414 970.3553 297.658 320.631 329.534 321.692 324.62 337.6744/15/2005 14:20:41 11438 970.1856 297.644 320.681 329.603 321.763 324.697 337.6624/15/2005 14:21:05 11461 969.9727 297.587 320.675 329.612 321.708 324.767 337.714/15/2005 14:21:28 11485 969.5634 297.588 320.809 329.647 321.807 324.817 337.7594/15/2005 14:21:52 11509 968.8 297.619 320.817 329.813 321.794 324.784 337.6994/15/2005 14:22:16 11532 967.5874 297.686 320.846 329.725 321.754 324.91 337.7954/15/2005 14:22:40 11556 965.9495 297.724 320.932 329.939 321.936 324.897 337.8444/15/2005 14:23:03 11580 964.047 297.609 320.933 330.099 322.001 324.92 337.8664/15/2005 14:23:27 11603 962.1392 297.75 320.998 329.936 321.982 325.025 337.8814/15/2005 14:23:51 11627 960.5002 297.708 320.93 329.972 321.928 324.889 337.8834/15/2005 14:24:14 11651 959.318 297.819 321.036 329.63 322.006 324.987 337.8974/15/2005 14:24:38 11674 958.6267 297.769 321.079 329.782 322.084 325.099 337.9194/15/2005 14:25:02 11698 958.3032 297.83 321.165 329.88 322.183 325.177 337.9214/15/2005 14:25:25 11722 958.1375 297.778 321.165 329.901 322.211 325.115 337.9414/15/2005 14:25:49 11745 957.9334 297.691 321.242 329.667 322.308 325.143 337.9754/15/2005 14:26:13 11769 957.5918 297.683 321.283 329.743 322.378 325.309 337.9554/15/2005 14:26:36 11793 957.132 297.72 321.248 329.605 322.232 325.336 337.9754/15/2005 14:27:00 11817 956.6524 297.763 321.394 329.859 322.363 325.426 337.9344/15/2005 14:27:24 11840 956.2547 297.698 321.354 329.75 322.302 325.337 337.9694/15/2005 14:27:47 11864 955.9764 297.808 321.445 330.025 322.386 325.344 338.0634/15/2005 14:28:11 11888 955.7625 297.765 321.466 330.088 322.47 325.359 338.0784/15/2005 14:28:35 11911 955.4911 297.73 321.572 329.924 322.52 325.367 338.164/15/2005 14:28:58 11935 955.0342 297.884 321.642 330.213 322.604 325.533 338.1814/15/2005 14:29:22 11959 954.3199 297.82 321.532 330.008 322.522 325.583 338.1214/15/2005 14:29:46 11982 953.3614 297.806 321.631 330.29 322.648 325.619 338.2914/15/2005 14:30:09 12006 952.2428 297.808 321.695 330.299 322.629 325.482 338.2934/15/2005 14:30:33 12030 951.0769 297.853 321.739 330.417 322.665 325.629 338.2544/15/2005 14:30:57 12053 949.9624 297.826 321.789 330.412 322.569 325.623 338.2494/15/2005 14:31:21 12077 948.9567 297.776 321.741 330.379 322.647 325.632 338.254/15/2005 14:31:44 12101 948.0682 297.784 321.763 330.475 322.731 325.632 338.2714/15/2005 14:32:08 12124 947.2603 297.879 321.847 330.414 322.773 325.743 338.3794/15/2005 14:32:32 12148 946.4678 297.829 321.918 330.483 322.788 325.786 338.3534/15/2005 14:32:55 12172 945.6246 297.882 321.926 330.519 322.894 325.829 338.3824/15/2005 14:33:19 12195 944.6971 297.876 322.025 330.466 323.007 325.948 338.414/15/2005 14:33:43 12219 943.7069 297.871 322.034 330.701 323.023 325.957 338.4594/15/2005 14:34:06 12243 942.7294 297.829 321.987 330.388 322.934 325.945 338.4144/15/2005 14:34:30 12266 941.8659 297.845 322.121 330.588 323.012 326.029 338.4624/15/2005 14:34:54 12290 941.2041 297.847 322.088 330.514 323.035 326.031 338.4784/15/2005 14:35:17 12314 940.7857 297.863 322.131 330.556 323.161 326.06 338.4124/15/2005 14:35:41 12338 940.5879 297.791 322.209 330.757 323.1 326.151 338.4474/15/2005 14:36:05 12361 940.5242 297.873 322.308 330.806 323.303 326.166 338.4884/15/2005 14:36:28 12385 940.4617 297.853 322.226 330.869 323.346 326.223 338.5644/15/2005 14:36:52 12409 940.2578 297.869 322.283 330.884 323.292 326.287 338.532

4/15/2005 14:37:16 12432 939.8073 297.921 322.458 330.96 323.62 326.364 338.6544/15/2005 14:37:39 12456 939.0807 297.901 322.412 331.127 323.42 326.324 338.5214/15/2005 14:38:03 12480 938.1295 297.962 322.448 331.06 323.485 326.43 338.6044/15/2005 14:38:27 12503 937.0533 297.949 322.499 331.124 323.493 326.521 338.5864/15/2005 14:38:50 12527 935.9477 298.046 322.536 331.222 323.419 326.551 338.5674/15/2005 14:39:14 12551 934.8639 298.114 322.655 331.278 323.65 326.594 338.694/15/2005 14:39:38 12574 933.8002 298.16 322.622 331.136 323.596 326.672 338.6794/15/2005 14:40:02 12598 932.7225 298.082 322.646 331.234 323.654 326.695 338.644/15/2005 14:40:25 12622 931.5956 298.325 322.779 331.078 323.642 326.738 338.7034/15/2005 14:40:49 12645 930.4079 298.291 322.706 331.375 323.61 326.686 338.7334/15/2005 14:41:13 12669 929.1829 298.206 322.639 331.234 323.612 326.591 338.6814/15/2005 14:41:36 12693 927.976 298.273 322.716 331.31 323.606 326.661 338.7634/15/2005 14:42:00 12716 926.8613 298.332 322.85 331.25 323.607 326.718 338.8654/15/2005 14:42:24 12740 925.9101 298.232 322.768 331.279 323.581 326.664 338.7924/15/2005 14:42:47 12764 925.1694 298.283 322.9 331.512 323.755 326.837 338.7994/15/2005 14:43:11 12787 924.6484 298.248 322.867 331.445 323.826 326.797 338.8014/15/2005 14:43:35 12811 924.3164 298.22 322.874 331.562 323.855 326.798 338.8764/15/2005 14:43:58 12835 924.1138 298.199 322.903 331.583 323.877 326.861 338.894/15/2005 14:44:22 12858 923.9682 298.207 322.919 331.324 323.968 326.834 338.794/15/2005 14:44:46 12882 923.8135 298.165 322.941 331.668 323.941 326.877 338.8184/15/2005 14:45:09 12906 923.6065 298.356 323.081 331.32 323.963 326.975 338.9414/15/2005 14:45:33 12930 923.3362 298.196 323.082 331.259 324.103 327.052 338.9694/15/2005 14:45:57 12953 923.0207 298.249 323.07 331.247 324.174 327.033 338.9234/15/2005 14:46:20 12977 922.6885 298.324 323.148 331.399 324.107 327.179 338.9664/15/2005 14:46:44 13001 922.35 298.363 323.178 331.566 324.226 327.119 338.9744/15/2005 14:47:08 13024 921.9763 298.445 323.242 331.437 324.277 327.142 338.9764/15/2005 14:47:31 13048 921.5015 298.353 323.189 331.748 324.411 327.062 338.9854/15/2005 14:47:55 13072 920.8554 298.42 323.309 331.448 324.267 327.242 338.9944/15/2005 14:48:19 13095 920.008 298.385 323.22 331.436 324.401 327.217 339.0224/15/2005 14:48:43 13119 918.9987 298.402 323.326 331.506 324.347 327.225 339.0714/15/2005 14:49:06 13143 917.9292 298.345 323.321 331.727 324.21 327.178 339.0664/15/2005 14:49:30 13166 916.9192 298.434 323.35 331.612 324.44 327.208 339.1354/15/2005 14:49:54 13190 916.0496 298.414 323.359 331.573 324.366 327.264 339.134/15/2005 14:50:17 13214 915.3241 298.387 323.485 331.882 324.471 327.28 339.1184/15/2005 14:50:41 13237 914.6704 298.359 323.425 331.863 324.556 327.33 339.0934/15/2005 14:51:05 13261 913.9772 298.383 323.426 331.824 324.482 327.338 339.1414/15/2005 14:51:28 13285 913.1471 298.393 323.553 331.888 324.657 327.354 339.1574/15/2005 14:51:52 13308 912.1378 298.394 323.541 332.033 324.513 327.315 339.1934/15/2005 14:52:16 13332 910.9745 298.557 323.723 331.952 324.695 327.509 339.2614/15/2005 14:52:39 13356 909.732 298.347 323.531 332.07 324.669 327.407 339.1754/15/2005 14:53:03 13379 908.4965 298.545 323.615 332.044 324.636 327.457 339.2784/15/2005 14:53:27 13403 907.3272 298.525 323.665 332.162 324.693 327.528 339.2194/15/2005 14:53:50 13427 906.2348 298.578 323.681 332.286 324.715 327.495 339.2874/15/2005 14:54:14 13450 905.1864 298.564 323.8 332.13 324.716 327.592 339.3224/15/2005 14:54:38 13474 904.1317 298.624 323.926 331.899 324.898 327.642 339.3034/15/2005 14:55:01 13498 903.035 298.618 323.941 332.071 324.913 327.788 339.3254/15/2005 14:55:25 13522 901.8958 298.612 323.908 332.046 325.004 327.7 339.2794/15/2005 14:55:49 13545 900.7489 298.592 323.965 331.883 324.895 327.708 339.3084/15/2005 14:56:12 13569 899.651 298.645 324.016 331.912 324.98 327.751 339.3834/15/2005 14:56:36 13593 898.6617 298.698 324.024 332.153 325.016 327.746 339.3714/15/2005 14:57:00 13616 897.8307 298.773 324.04 332.161 324.969 327.885 339.44/15/2005 14:57:24 13640 897.1904 298.658 324.125 332.279 325.123 327.797 339.4094/15/2005 14:57:47 13664 896.7527 298.703 324.175 332.356 325.07 327.861 339.4444/15/2005 14:58:11 13687 896.5061 298.749 324.177 332.399 325.217 327.849 339.506

4/15/2005 14:58:35 13711 896.4137 298.788 324.221 332.34 325.275 327.873 339.5164/15/2005 14:58:58 13735 896.4154 298.812 324.272 332.287 325.388 327.909 339.5514/15/2005 14:59:22 13758 896.437 298.806 324.321 332.534 325.417 327.972 339.4784/15/2005 14:59:46 13782 896.4053 298.851 324.357 332.57 325.501 328.021 339.6284/15/2005 15:00:09 13806 896.2647 298.837 324.379 332.427 325.55 328.098 339.5884/15/2005 15:00:33 13829 895.9875 298.912 324.373 332.565 325.482 328.099 339.5554/15/2005 15:00:57 13853 895.5701 298.926 324.435 332.605 325.599 328.099 339.6434/15/2005 15:01:20 13877 895.0151 298.963 324.505 332.634 325.593 328.217 339.6374/15/2005 15:01:44 13900 894.3084 299.074 324.597 332.628 325.657 328.232 339.6584/15/2005 15:02:08 13924 893.4074 299.088 324.693 332.703 325.815 328.335 339.6174/15/2005 15:02:31 13948 892.2509 299.042 324.782 332.844 325.717 328.353 339.754/15/2005 15:02:55 13971 890.7902 299.133 324.75 332.806 325.886 328.384 339.7334/15/2005 15:03:19 13995 889.0209 299.054 324.696 332.807 325.776 328.261 339.8084/15/2005 15:03:42 14019 886.9981 299.075 324.695 332.909 325.762 328.302 339.7474/15/2005 15:04:06 14042 884.8245 299.108 324.781 332.892 325.889 328.305 339.8314/15/2005 15:04:30 14066 882.6217 299.068 324.778 332.943 325.734 328.191 339.8014/15/2005 15:04:53 14090 880.4956 299.215 324.807 332.992 325.88 328.199 339.9164/15/2005 15:05:17 14114 878.5117 299.127 324.779 333.046 325.922 328.123 339.8294/15/2005 15:05:41 14137 876.6838 299.14 324.881 333.113 325.906 328.163 339.9084/15/2005 15:06:05 14161 874.9795 299.116 324.886 333.022 325.911 328.189 339.8724/15/2005 15:06:28 14185 873.3391 299.156 324.951 333.155 325.941 328.212 339.9164/15/2005 15:06:52 14208 871.7046 299.164 324.967 333.286 326.047 328.351 339.9514/15/2005 15:07:16 14232 870.0457 299.05 324.948 333.158 325.952 328.333 339.8454/15/2005 15:07:39 14256 868.3729 299.146 325.04 333.283 326.078 328.362 339.9814/15/2005 15:08:03 14279 866.7329 299.09 325.083 333.141 325.99 328.377 339.9494/15/2005 15:08:27 14303 865.1879 299.098 325.118 333.251 325.942 328.337 339.9974/15/2005 15:08:50 14327 863.7943 299.047 325.139 333.381 326.101 328.447 339.954/15/2005 15:09:14 14350 862.5883 299.031 325.138 333.256 326.127 328.48 339.9624/15/2005 15:09:38 14374 861.5802 299.072 325.267 333.513 326.249 328.505 3404/15/2005 15:10:01 14398 860.7545 298.966 325.194 333.489 326.198 328.543 339.9564/15/2005 15:10:25 14421 860.0713 299.087 325.281 333.404 326.395 328.629 3404/15/2005 15:10:49 14445 859.4718 299.048 325.3 333.559 326.448 328.682 340.0394/15/2005 15:11:12 14469 858.8921 299.062 325.299 333.497 326.413 328.613 340.0314/15/2005 15:11:36 14492 858.2817 299.098 325.381 333.571 326.301 328.77 340.0244/15/2005 15:12:00 14516 857.6189 299.033 325.41 333.695 326.365 328.695 339.9574/15/2005 15:12:23 14540 856.9122 299.041 325.425 333.634 326.428 328.786 339.9924/15/2005 15:12:47 14563 856.1861 299.122 325.536 333.56 326.435 328.841 340.0534/15/2005 15:13:11 14587 855.4613 299.132 325.559 333.569 326.382 328.844 340.0894/15/2005 15:13:34 14611 854.7428 299.171 325.631 333.68 326.536 328.949 340.1454/15/2005 15:13:58 14635 854.0202 299.101 325.606 333.717 326.643 328.918 340.064/15/2005 15:14:22 14658 853.2751 299.061 325.61 333.68 326.709 328.963 340.0914/15/2005 15:14:45 14682 852.4854 299.101 325.751 333.956 326.837 329.042 340.1284/15/2005 15:15:09 14706 851.6264 298.989 325.652 333.599 326.71 328.998 340.0724/15/2005 15:15:33 14729 850.673 299.088 325.801 333.889 326.831 329.139 340.1424/15/2005 15:15:57 14753 849.6093 299.107 325.909 333.464 326.766 329.192 340.0794/15/2005 15:16:20 14777 848.4386 299.128 325.874 333.449 326.731 329.156 340.1054/15/2005 15:16:44 14800 847.1841 299.244 325.991 333.51 326.889 329.19 340.1864/15/2005 15:17:08 14824 845.8757 299.185 325.894 333.442 326.841 329.101 340.1864/15/2005 15:17:31 14848 844.5325 299.193 326.019 333.538 326.959 329.06 340.1464/15/2005 15:17:55 14871 843.155 299.231 325.978 333.682 327.042 329.171 340.1744/15/2005 15:18:19 14895 841.7347 299.232 326.007 333.84 327.105 329.179 340.2494/15/2005 15:18:42 14919 840.2729 299.174 326.077 333.663 327.009 329.214 340.274/15/2005 15:19:06 14942 838.7951 299.278 326.085 333.896 327.197 329.194 340.2444/15/2005 15:19:30 14966 837.3508 299.227 326.106 333.978 327.177 329.236 340.238

4/15/2005 15:19:53 14990 836.0008 299.226 326.147 333.923 327.238 329.221 340.2774/15/2005 15:20:17 15013 834.7991 299.26 326.206 333.968 327.298 329.24 340.3424/15/2005 15:20:41 15037 833.7791 299.28 326.309 334.13 327.413 329.259 340.3344/15/2005 15:21:04 15061 832.9472 299.192 326.204 334.014 327.116 329.299 340.3464/15/2005 15:21:28 15084 832.2842 299.219 326.341 333.964 327.342 329.359 340.3784/15/2005 15:21:52 15108 831.7534 299.262 326.416 334.072 327.286 329.475 340.3644/15/2005 15:22:15 15132 831.3139 299.152 326.339 333.895 327.396 329.44 340.3374/15/2005 15:22:39 15155 830.9366 299.246 326.469 334.255 327.663 329.583 340.3964/15/2005 15:23:03 15179 830.6128 299.135 326.489 334.144 327.621 329.582 340.3074/15/2005 15:23:26 15203 830.352 299.163 326.543 334.245 327.675 329.629 340.3944/15/2005 15:23:50 15227 830.1668 299.214 326.618 334.449 327.716 329.663 340.4274/15/2005 15:24:14 15250 830.0584 299.292 326.679 334.495 327.728 329.737 340.4324/15/2005 15:24:38 15274 830.0101 299.249 326.631 334.108 327.804 329.813 340.4134/15/2005 15:25:01 15298 829.9886 299.317 326.785 334.355 327.937 329.884 340.4424/15/2005 15:25:25 15321 829.9498 299.445 326.796 334.59 327.83 329.949 340.5734/15/2005 15:25:49 15345 829.8432 299.467 326.92 334.454 328.003 330.038 340.4594/15/2005 15:26:12 15369 829.6215 299.556 326.949 334.142 328.025 330.129 340.5414/15/2005 15:26:36 15392 829.2607 299.558 326.993 334.362 328.158 330.214 340.5364/15/2005 15:27:00 15416 828.7848 299.649 327.044 334.338 328.134 330.203 340.5054/15/2005 15:27:23 15440 828.2788 299.718 327.076 334.321 328.151 330.241 340.554/15/2005 15:27:47 15463 827.8708 299.754 327.157 334.259 328.281 330.233 340.6094/15/2005 15:28:11 15487 827.6831 299.827 326.999 334.382 328.15 330.082 340.603

319.104 285.192 0 15 28 11319.109 285.144 1 11 10 4319.175 285.388 2 4 18 7319.171 285.579 3319.257 285.199 4 15487 654 23.68043319.273 285.381 5319.366 285.496 6319.375 285.107 7

319.35 285.087 8319.337 285.074 9319.408 285.376 10319.494 285.385 11

319.51 285.448 12319.499 285.074 13319.593 285.19 14319.609 285.321 15319.598 285.294 16319.685 285.184 17319.661 285.173 18319.797 285.364 19319.877 285.135 20319.845 284.957 21

319.91 284.96 22319.988 284.878 23319.991 284.829 24320.071 284.531 25320.067 284.993 26320.139 285.318 27320.224 285.395 28320.232 285.043 29

320.38 285.616 30320.382 285.843 31320.468 285.364 32320.463 285.321 33

320.52 285.428 34320.571 285.332 35320.642 285.664 36320.665 285.659 37320.786 285.924 38

Absorber Top (K)

Ambient Air (K)

320.739 285.949 39320.874 285.966 40

320.98 286.05 41320.99 285.97 42

321.061 285.837 43321.133 286.192 44321.176 286.253 45321.303 286.54 46321.333 286.159 47

321.39 286.206 48321.496 286.215 49321.581 286.006 50321.618 286.143 51

321.71 286.317 52321.816 286.146 53321.888 285.713 54321.973 285.549 55322.156 285.596 56322.172 285.365 57322.257 285.48 58322.294 285.535 59322.415 286.348 60322.516 286.262 61322.581 286.257 62322.716 285.757 63322.768 286.624 64322.834 286.184 65322.941 286.06 66322.985 286.295 67323.148 286.516 68323.165 286.609 69323.272 286.972 70323.302 286.765 71323.555 286.753 72323.586 286.741 73323.644 286.818 74323.709 287.187 75323.787 287.138 76323.782 285.939 77

323.95 285.866 78323.945 286.176 79324.148 286.342 80324.163 286.719 81324.269 286.391 82324.368 286.61 83

324.44 286.793 84324.538 286.749 85324.692 286.788 86324.756 286.731 87324.758 286.942 88324.845 287.081 89324.855 287.122 90324.963 286.916 91324.994 287.212 92

325.095 287.089 93325.154 287.071 94325.255 287.157 95325.244 287.557 96325.337 287.41 97325.408 287.293 98325.452 287.302 99

325.55 287.297 100325.58 287.471 101

325.727 287.54 102325.771 286.727 103325.879 286.896 104325.883 286.818 105325.984 287.407 106326.126 287.949 107326.164 287.49 108326.216 287.389 109326.289 287.101 110326.376 287.143 111326.421 286.974 112326.501 286.372 113

326.56 286.518 114326.577 287.038 115326.635 286.839 116326.728 287.336 117

326.73 286.845 118326.815 287.214 119326.893 287.792 120326.902 287.248 121326.952 286.493 122326.927 286.938 123

327.06 286.925 124327.145 286.569 125

327.19 286.999 126327.192 287.151 127327.291 287.79 128327.238 287.508 129

327.35 286.941 130327.379 286.23 131327.471 286.405 132327.473 286.122 133327.653 286.161 134327.675 287.122 135327.689 286.972 136327.752 287.085 137327.877 287.229 138327.879 287.073 139327.956 287.015 140327.929 287.764 141328.067 288.437 142328.109 287.541 143328.199 287.466 144328.233 286.822 145328.233 286.972 146

328.309 286.995 147328.386 287.31 148328.462 287.647 149328.436 287.642 150328.438 287.718 151328.522 287.63 152328.572 287.916 153328.575 287.807 154328.667 288.214 155328.712 288.367 156328.735 287.75 157328.793 287.416 158328.803 287.658 159328.832 287.294 160328.944 287.423 161328.925 287.402 162328.967 287.418 163329.099 287.876 164329.059 287.706 165329.144 287.708 166

329.18 288.606 167329.215 287.928 168329.237 287.234 169329.307 287.265 170329.336 287.58 171329.446 288.074 172

329.44 287.866 173329.613 287.545 174329.553 287.263 175329.616 287.429 176329.632 287.364 177329.646 287.701 178329.695 288.136 179329.703 287.883 180329.787 288.026 181329.801 288.393 182329.946 288.311 183329.871 287.609 184329.879 287.529 185

329.86 287.941 186329.965 287.906 187330.028 287.788 188330.023 287.678 189329.922 287.911 190330.081 287.913 191330.049 287.302 192330.215 287.499 193330.204 287.029 194330.315 286.896 195330.269 287.414 196330.297 287.378 197330.353 287.783 198330.347 288.173 199330.409 287.927 200

330.492 287.343 201330.546 287.583 202330.677 287.561 203

330.61 287.562 204330.639 288.042 205330.668 287.678 206330.726 287.547 207330.681 287.925 208330.781 287.899 209330.832 288.104 210330.904 288.13 211

330.75 287.857 212330.897 287.995 213330.927 287.534 214

330.97 287.544 215330.953 287.794 216331.031 287.483 217331.109 287.793 218331.153 287.744 219331.245 287.986 220331.248 287.81 221331.346 288.075 222331.329 288.025 223331.359 288.334 224331.375 287.777 225331.405 288.011 226331.462 288.276 227331.568 288.353 228331.577 288.348 229331.641 288.732 230331.752 288.622 231331.747 288.624 232331.783 287.707 233331.915 287.791 234331.903 288.01 235

331.98 288.49 236332.111 289.006 237332.113 288.717 238332.286 288.174 239

332.22 288.327 240332.284 288.859 241332.348 288.437 242332.372 288.829 243332.538 288.876 244332.604 288.82 245332.621 288.586 246332.748 287.76 247332.724 288.078 248332.741 288.179 249

332.86 288.332 250332.952 288.746 251332.956 288.75 252333.103 288.515 253333.182 288.325 254

333.295 288.352 255333.299 288.61 256333.438 288.337 257333.455 287.847 258333.574 288.097 259333.698 288.704 260

333.68 288.691 261333.737 287.73 262333.733 288.376 263

333.85 288.318 264333.906 288.7 265333.927 288.2 266333.968 288.663 267333.879 288.909 268334.042 288.349 269

334.17 288.056 270334.204 287.996 271334.162 287.599 272334.195 287.971 273334.316 288.529 274334.409 288.96 275334.455 288.413 276334.487 289.082 277334.655 289.028 278334.674 289.064 279334.706 289.39 280334.758 289.35 281334.892 289.615 282334.876 289.658 283334.868 289.269 284335.009 288.947 285334.934 288.633 286335.056 288.811 287335.055 289.564 288335.118 289.453 289335.276 289.917 290335.373 289.644 291335.452 289.402 292335.449 289.571 293335.528 289.247 294335.641 289.401 295335.713 289.175 296335.847 288.583 297335.879 288.297 298335.978 288.354 299335.955 287.648 300336.053 287.57 301335.995 287.999 302336.079 288.696 303336.101 289.243 304

336.13 289.342 305336.2 289.314 306

336.29 289.048 307336.231 288.908 308

336.259 289.052 309336.241 288.919 310336.344 289.242 311336.428 289.602 312336.504 289.648 313

336.5 289.561 314336.59 289.847 315

336.613 289.35 316336.562 289.578 317336.661 289.955 318

336.72 289.304 319336.792 289.249 320336.763 289.18 321336.896 289.602 322336.934 289.808 323336.972 289.909 324336.962 288.944 325336.993 288.687 326337.064 288.639 327337.095 288.837 328337.038 288.535 329337.149 289.023 330337.207 289.452 331337.195 289.82 332337.245 288.921 333337.255 288.745 334337.264 288.15 335337.261 289.042 336337.405 288.948 337337.422 288.742 338337.486 288.887 339337.549 288.778 340337.565 289.102 341337.629 289.007 342337.637 289.166 343337.665 289.718 344337.667 290.018 345337.715 289.796 346337.704 290.021 347

337.72 290.061 348337.769 289.244 349337.765 288.516 350337.815 289.249 351337.979 289.691 352337.994 290.006 353338.056 289.486 354338.051 289.19 355338.026 289.02 356338.021 289.455 357338.138 289.532 358337.971 289.735 359338.067 289.342 360338.002 289.329 361338.057 289.331 362

338.154 289.913 363338.168 289.996 364338.142 290.414 365338.136 290.236 366338.191 290.141 367338.233 290.119 368338.301 290.871 369338.283 290.926 370

338.38 290.096 371338.423 290.314 372338.447 290.489 373338.497 289.823 374338.426 290.131 375338.497 290.165 376338.567 289.847 377338.563 289.583 378338.701 289.489 379338.792 289.187 380338.895 289.219 381338.871 289.662 382338.934 289.604 383

338.97 290.031 384338.931 289.75 385338.987 289.573 386338.969 290.082 387339.058 290.299 388339.039 290.859 389339.068 290.741 390339.097 290.238 391339.092 290.233 392

339.1 290.628 393339.156 290.273 394

339.13 290.081 395339.199 290.12 396339.187 289.631 397339.303 289.535 398339.298 290.029 399339.293 290.722 400339.268 289.981 401339.344 290.288 402339.374 290.55 403339.369 291.385 404339.431 291.72 405339.473 290.876 406339.347 291.212 407339.416 290.865 408339.506 290.8 409339.515 291.263 410339.618 291.221 411339.567 290.615 412

339.63 290.446 413339.645 290.389 414339.735 290.547 415339.852 290.549 416

339.867 290.447 417339.862 289.862 418339.931 289.752 419339.946 290.542 420340.048 290.536 421340.049 289.987 422340.098 290.74 423340.073 289.76 424340.074 289.672 425340.176 290.759 426340.164 291.347 427

340.18 290.644 428340.289 291.21 429340.325 290.09 430340.441 290.337 431

340.49 290.377 432340.485 290.773 433340.675 291.25 434340.665 291.409 435

340.66 291.129 436340.603 290.591 437340.741 290.074 438340.677 290.219 439340.707 289.939 440

340.75 290.047 441340.935 289.983 442340.891 290.083 443340.941 289.655 444340.944 289.896 445

341 290.055 446341.083 290.244 447341.147 290.046 448341.123 289.961 449341.193 289.853 450341.237 290.399 451

341.32 290.372 452341.302 289.712 453341.391 289.222 454341.433 289.73 455341.367 290.164 456341.362 290.173 457341.256 290.666 458341.238 290.505 459

341.26 290.328 460341.423 290.523 461341.511 290.613 462341.553 291.254 463341.561 291.167 464341.569 290.269 465341.597 290.522 466341.532 289.989 467341.647 289.074 468

341.77 289.33 469341.846 290.002 470

341.882 290.087 471341.87 289.687 472

341.885 290.433 473341.981 291.088 474341.969 290.852 475342.003 290.697 476342.025 290.059 477342.112 289.62 478342.146 290.224 479342.201 289.406 480342.149 290.01 481342.216 289.981 482342.264 290.555 483342.279 290.378 484

342.28 290.974 485342.275 290.715 486

342.35 290.33 487342.371 289.758 488342.433 289.082 489342.455 289.911 490

342.43 289.615 491342.458 290.056 492342.453 290.191 493

342.32 290.609 494342.387 289.977 495342.414 290.379 496342.427 290.535 497

342.38 291.114 498342.373 290.869 499342.341 289.732 500342.415 290.64 501342.395 290.626 502

342.45 290.835 503342.578 291.111 504342.573 290.926 505342.694 290.31 506342.636 289.538 507342.677 290.121 508342.679 290.405 509342.633 290.451 510342.694 289.886 511342.788 290.66 512342.762 290.453 513342.751 290.388 514342.759 290.79 515342.881 290.599 516342.843 290.661 517342.884 290.424 518342.806 290.337 519342.861 290.785 520342.969 290.964 521342.977 290.43 522342.911 291.19 523

342.94 290.939 524

343.014 291.274 525342.916 291.15 526342.965 290.892 527342.986 291.436 528342.982 290.882 529

343.11 291.321 530343.065 291.293 531343.061 291.073 532343.116 290.763 533343.146 290.915 534343.121 290.769 535343.182 290.777 536343.217 291.254 537343.171 290.981 538343.252 290.869 539343.274 290.47 540343.301 290.701 541343.302 291.422 542343.256 291.357 543343.291 290.861 544343.386 290.765 545

343.36 290.989 546343.315 291.31 547343.323 291.653 548343.318 291.967 549343.387 291.368 550343.316 291.208 551343.411 291.602 552343.399 291.552 553343.287 291.628 554343.349 291.214 555343.337 290.956 556343.446 290.936 557343.494 291.516 558343.449 291.125 559343.538 290.644 560343.553 291.367 561343.582 291.406 562343.657 291.429 563343.618 290.347 564343.653 290.274 565343.574 290.744 566343.669 291.436 567343.717 291.482 568343.658 291.431 569343.693 291.329 570343.607 291.516 571343.616 291.399 572

343.59 291.475 573343.579 291.81 574343.741 292.264 575343.729 291.917 576343.737 292.001 577

343.82 291.543 578

343.795 292.657 579343.844 292.415 580343.852 292.557 581

343.9 291.84 582343.934 292.366 583343.868 292.397 584343.875 292.782 585343.942 292.435 586

343.93 293.102 587344.01 291.368 588

343.988 292.189 589344.058 292.711 590344.025 290.948 591344.052 291.555 592344.142 291.656 593344.098 290.211 594344.166 290.576 595344.166 290.561 596344.318 290.389 597344.276 290.416 598344.359 291.259 599344.347 290.993 600344.369 291.055 601344.371 290.745 602344.459 290.865 603

344.38 289.84 604344.46 290.614 605

344.419 291.154 606344.429 290.14 607344.433 290.88 608344.423 291.323 609344.482 291.209 610344.467 291.171 611344.467 291.022 612344.454 291.713 613344.448 291.854 614344.496 290.601 615344.378 291.079 616344.467 291.734 617344.463 291.604 618344.487 291.155 619344.517 291.493 620344.454 291.69 621344.524 292.146 622344.448 291.766 623344.461 291.55 624344.454 291.452 625344.454 291.467 626344.381 291.638 627344.355 291.588 628344.483 291.915 629344.503 290.936 630344.411 290.796 631344.505 291.198 632

344.531 291.241 633344.609 291.439 634344.567 291.608 635344.533 290.843 636344.611 291.227 637344.611 291.575 638344.597 291.263 639344.709 291.447 640344.661 292.216 641

344.68 292.045 642344.726 291.614 643344.672 292.124 644344.719 291.576 645344.708 292.601 646344.691 293.573 647344.651 293.396 648344.699 293.021 649344.655 292.394 650344.617 293.344 651344.581 292.72 652344.607 292.689 653344.513 292.267 654

0 2000 4000 6000 8000 10000 12000 14000 16000 18000280

285

290

295

300

305

310

315

320

325

330

Panel Input Comparison

Model Panel Input

Test Panel Input

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 10000 12000 14000 16000 18000290

295

300

305

310

315

320

325

330

Tank Output Comparison

Model Tank Output

Test Tank Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000295

305

315

325

335

345

355

Abs. Plate Pos. 1 Comparison

Model Abs. Plate Pos. 1

Test Abs. Plate Pos. 1

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000295

305

315

325

335

345

355




time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 10000 12000 14000 16000 18000280

285

290

295

300

305

310

315

320

325

330

Panel Input Comparison

Model Panel Input

Test Panel Input

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 10000 12000 14000 16000 18000295

300

305

310

315

320

325

330

335

340

345

Panel Output Comparison

Model Panel Output

Test Panel Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 10000 12000 14000 16000 18000290

295

300

305

310

315

320

325

330

Tank Output Comparison

Model Tank Output

Test Tank Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000290

295

300

305

310

315

320

325

330

Tank Siphon Output Comparison

Model Tank Siphon Output

Test Tank Siphon Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000295

305

315

325

335

345

355




time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000290

300

310

320

330

340

350




time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000295

305

315

325

335

345

355




time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000290

300

310

320

330

340

350




time (s)T

emp

erat

ure

(K

)

0 2000 4000 6000 8000 10000 12000 14000 16000 18000295

300

305

310

315

320

325

330

335

340

345

Panel Output Comparison

Model Panel Output

Test Panel Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000290

295

300

305

310

315

320

325

330

Tank Siphon Output Comparison

Model Tank Siphon Output

Test Tank Siphon Output

time (s)

Tem

per

atu

re (

K)

0 2000 4000 6000 8000 1000012000140001600018000290

300

310

320

330

340

350




time (s)

Tem

per

atu

re (

K)

0 2 4 6 8 10 12

0

0.00001

0.00002

0.00003

0.00004

0.00005

0.00006

0.00007

0.00008

Volumetric Flow Rates

Model Panel Input

Model Siphon Flow Rate

time (s)

Flo

w R

ate

(m

^3

/s)

0 2000 4000 6000 8000 1000012000140001600018000290

300

310

320

330

340

350




time (s)

Tem

per

atu

re (

K)

excelsimulation_15apr05

Documents