discharge capacity check
TRANSCRIPT
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Using Darcy-Weisbach
2
2 5
8f
l
Q L Kh
g D D
5 48 f
lg h
QL K
D D
fl m i n o r h h h
42
28
Dg
QKh
minor
8
ff
h
g
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4
2
2 5
L Q
D
The friction factor
If Q is known assassume rough pipe l
Use Darcy Weisb
Solve for Q or D
Calculate Re andFind new f on Mo
Iterate
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doesnt vary greatly
me f is 0.02, if D is knownwch and minor loss equations
/Ddy diagram
1 3 . 72 lo g
f
D
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DATA INPUT
Kb
0
o
rad 0.131 x q
0.660
Weir 0 903.29 0 0.00 0.00000
0+100 10.00 676.73 16.00 0.28 0.05645
0+200 12.00 676.46 8.00 0.14 0.03572
0+300 24.00 676.19 42.00 0.73 0.10672
0+400 6.40 675.92 36.00 0.63 0.09640
0+500 5.00 675.65 53.00 0.93 0.12443
0+600 7.40 892.06 53.00 0.93 0.12443
Total Length 2435.06 0.54415
Total Kb = 0.54
Select Entrance type Perpendicular square Entrance
Entrance Loss, Ki = 0.5
Select Outlet Type Submerge outlet
Outlet Loss, Ko = 1
Losses due to sudden contractions
D1/D2 1.0 1.5 2.0 2.5
Kc 0 0.25 0.35 0.40
Where D1/D2 is the ratio of the larger diameter to that of the smaller diameter
If D1/D2 is not found in the table
By interpolation
D1 = 1.86
D2 = 1.86
D1/D2 Kc
Higher value 1.5 0.25
Your value 1 0
Lower value 1 0
D1 = 1.86
D2 = 1.86
D1/D2 Kc
Higher value 1.5 0.25
Your value 1 0
Lower value 1 0
Sudden Contraction
Loss, Kc = 0
Losses through fully opened valves
Select Type of Valve GATE
Kv = 0.1
Total Value of K = 2.14
Minor Headloss Coefficient Computation
Point Location Elevation
Deflection angle
Pipe length
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SOURCE OF INFORMATION
"Study of Bend Losses in Large Pipes" (SML)
From AWWA M11 Manual:
Inlet losses
Perpendicular square Entrance 0.5
Inward Projecting Inlet 0.8
Slightly Rounded 0.2
Bell Mouth Inlet 0.1
Outlet loss
Submerge outlet 1 `
Drop outlet 0
Losses through fully opened valves
TYPE Kv
SPHERICAL 0
GATE 0.1
BUTTERFLY
(t/D = 0.2) 0.3
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Inputs: Source of Information:
Diameter 1.61 m
Water Level at Desander 903.29 mASL
Headrace Pipe Top Elevation 892.06 mASL
Pipe Length, L 2,435.06 m
Headloss 11.23 mGravitational acceleration, g 9.810 m
2/s
Pipe Centerline at Surgetank 889.833 mASL
Pipe submergence 1.48 m
Calculation:
A.1 Assume Turbulent flow, compute for f:
Pipe Roughness, 2.5000 mm
Friction factor, f 0.1286 m
Minor Headloss Coefficient, K 14.45
(K/D4) 2.15 m 3.40
(fL/D5) 28.95 m 7.8273562
Actual Headloss, Hlactual 11.23 m 11.229981
Discharge Capacity 2.090530876 m3/s
Velocity 1.026868786 m/s
A.2 Compute final friction factor using initial diameter:
Kenimatic Viscocity 0.000001007 m2/s
Reynolds Number 1,641,766.38
Type of Flow Turbulent
New Friction Factor 0.021977844
A.3 Recompute final diameter using new friction factor:
(fL/D5) 4.95 m
Dischargecap 4.38 m
Velocity, V 2.149426576 m/s
Pipe Roughness, 0.0025 m
Pipe Length, L 2,435.06 m
Minor Headloss, hm 3.40 m
Friction Headloss, hf 7.83 m
Friction Loss, Hlactual 11.23 m
Reynolds Number, Re 3,433,455.37
Friction Factor, f 0.02202
Discharge Capacity 4.37 m3/s
Velocity, V 2.15 m/s
Checking Swamee-Jain Limits:
Check: /D 0.001552795 >> OK 10-6
> OK 5000
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From To From ToBrass and Glass pipe 0.009 0.013 0.009 0.011
Asbestos-cement pipe 0.010 0.012
Wrought-iron and weleded steel pipe 0.010 0.014 0.011 0.013
Wood stave pipe 0.010 0.014 0.011 0.013
Clean cast-iron pipe 0.010 0.015 0.011 0.013
Concrete pipe 0.010 17.000
very smooth 0.011 0.012
"wet mix", steel forms 0.012 0.014
"dry mix", rough forms 0.015 0.016
with rough joints 0.016 0.017
Common-clay drainage tile 0.011 0.017 0.012 0.014
Vitrified sewer pipe 0.010 0.017 0.013 0.015
Riveted-steel pipe 0.013 0.017 0.015 0.017
Dirty or tuberculated cast-iron pipe 0.015 0.035
Corrugated-iron pipe 0.020 0.022
pg 199.., HYDRAULICS By H.W. King, C.O. Wisler, J.G. Woodburn
Viscocity T
Type of channel and description Min. Normal Max. T
A. Closed conduits flowing partly full 0
A-1. Metal 5
a. Brass, smooth 0.009 0.010 0.013 10
b. Steel 15
1. Lockbar and welded 0.010 0.012 0.014 20
2. Riveted and spiral 0.013 0.016 0.017 25c. Cast-iron 30
1. Coated 0.010 0.013 0.014 35
2. Uncoated 0.011 0.014 0.016 40
d. Wrought iron 45
1. Black 0.012 0.014 0.015 50
2. Galvanized 0.013 0.016 0.017 55
e. Corrugated metal 60
1. Subdrain 0.017 0.019 0.021 65
2. Strom drain 0.021 0.010 0.030 70
75
80
8590
95
100
References
Grade Input Values
Values ofn to Be used with the Manning Formula
Values of the Roughness Coefficient, n (Chow, 1959)
Kind of PipeVariation Use in Designing
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ASTM Material Designation Grade Minimum
Yield
Strength
ksi (MPa)
Minimum
Tensile
Strength
ksi (MPa)
A139 B 35 (242) 60 (415) B
C 42 (290) 60 (415) C
D 46 (315) 60 (415) D
E 52 (360) 66 (455) E
55
A36/A36M 36 (248) 58 (400) 60
A516/A516M 55 30 (205) 55 (380) 65
60 32 (220) 60 (415) 70
65 35 (240) 65 (450)
70 38 (260) 70 (485)
Steel Sheet (Flat Coil)
Steel Plate
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Moody Diagram
able
kinematic viscosity (m2/s)
0.000001792
0.000001519
0.000001308
0.000001141
0.000001007
0.0000008970.000000804
0.000000727
0.000000661
0.000000605
0.000000556
0.000000513
0.000000477
0.000000444
0.000000415
0.00000039
0.000000367
0.0000003470.000000328
0.000000311
0.000000296
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