hydraulic calculations safe rain

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SOL SAFE Basic Hy AUTHOR: Juan In association w

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Hydraulic Calculations Safe Rain

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SPREADSHEET

SOLVED EXAMPLE No. 2

SAFE RAIN´S DATA EXAMPLE

Basic Hydraulic calculations

AUTHOR: Juan E. González Fariñas ([email protected])

In association with Safe-Rain S.L www.saferain.com

SPREADSHEET

SOLVED EXAMPLE No. 2

SAFE RAIN´S DATA EXAMPLE

Basic Hydraulic calculations

AUTHOR: Juan E. González Fariñas ([email protected])

In association with Safe-Rain S.L www.saferain.com

El uso de este Libro

El uso de este

input data

output data

a) Introducir datos PIPE FITTINGS

Q = 12.00 l / s Staright elbow (large radius)

L straight length = 127.60 m Staright elbow (standard radius)

D interior = 94.00 mm Staright elbow (short radius)

e = 0.007 mm Elbows 450

Temperature = 25.0 (0 C) Gate valves

Globe valves

b) Results obtained Angle valves

Butterfly valves

velocity 1.7292 m/ s Check valves

Tank inlet

viscosity (n) 0.0092 cm2 / s Tank outlet

v 2 / 2g = 0.15 m Sudden enlargement

Reynolds´s Number 176,978 dimensionless Abrupt narrowing

f = 0.0183 Others

OBJECTIVE FUNCTION: -0.417 Others

TOTAL EQUIVALENT LENGTH 10.216 m

L Total = 137.816 m

Sh f = 4.091 m

SPREADSHEET: HEADLOSSES IN PIPES

STRAIGHT PIPE EQUIVALENT LENGTH FOR FITTINGS

Number K fitting l equivalent (m)

0.60 0.00

0.80 0.00

2 0.90 9.24

0.36 0.00

1 0.19 0.98

10.00 0.00

5.00 0.00

0.00

2.50 0.00

0.50 0.00

1.00 0.00

0.00

0.00

0.15 0.00

0.00

l equivalent (m) 10.22

SPREADSHEET: HEADLOSSES IN PIPES

EQUIVALENT LENGTH FOR FITTINGS

input data

output data

Jet heigth Q P

(m) (lpm) (m)

0.25 300 0.8

0.50 468 1.5

0.75 550 2.1

1.00 620 2.7

1.50 745 3.6

2.00 850 4.5

2.50 950 5.3

3.00 1032 6.1

3.50 1120 6.7

4.00 1181 7.3

4.50 1255 7.9

5.00 1304 8.3

Jet heigth Q P

(m) (lpm) (m)0.44 415 1.36

CURVILINEAR INTERPOLATION

EXAMPLE OF CURVILINEAR INTERPOLATION BY AN EXCEL SHEET

Table below shows flow and pressure head requirements in the base of the Safe Rain

F2431315 for different heights of the foam column.

Find pressure head and discharge requirements for a 0. 44 m jet heigth.

Write dessired jet heigth at DARK BLUE cell A27. Q and P are displayed at YELLOW cells

EXAMPLE OF CURVILINEAR INTERPOLATION BY AN EXCEL SHEET

Table below shows flow and pressure head requirements in the base of the Safe Rain´s nozzle

Find pressure head and discharge requirements for a 0. 44 m jet heigth.

. Q and P are displayed at YELLOW cells B27 and C27.

2. 5 m

Continue

Example 1. Determine the pressure head at point 2 if pump provides a flow rate of 415 lpm with 4.5 m head pressure at

point 1. Check for if height of the jet reaches about 1. 4 m.

pressure at

2. 5 m

p1 (m.c.a.) = 4.5

(Z1 - Z2) (m) = -2.5

Q (lpm) = 415

Continue

Solution:

The head pressure at the base of the nozzle (point 2) can be obtained as a

result of applying the Bernoulli´´ equation between points 1 and 2:

p2 (m.c.a.) = (Z1 - Z2) + p1 (m.c.a.) + V1 2/ 2g - V2

2/ 2g - hf totales

Being constant diameter pipe, the above equation becomes:

p2 (m.c.a.) = (Z1 - Z2) + p1 (m.c.a.) - Shf totales

Initial example data:

Note: Shf totales will be obtained by DATA ENTRY AND RESULTS SHEET.

The head pressure at the base of the nozzle (point 2) can be obtained as a

2. 5 m

input data

output data

a) Introducir datos

Q = 6.92

L straight length = 50.00

D interior = 94.00

e = 0.007

Temperature = 25.0

b) Results obtained

velocity 0.9967

viscosity (n) 0.0092

v 2 / 2g = 0.05

Reynolds´s Number 102,008

f = 0.0183

OBJECTIVE FUNCTION: 0.000

TOTAL EQUIVALENT LENGTH 10.216

L Total = 60.216

Sh f = 0.594

STRAIGHT PIPE

From above table,

PIPE FITTINGS Number K fitting

l / s Staright elbow (large radius) 0.60

m Staright elbow (standard radius) 0.80

mm Staright elbow (short radius) 2 0.90

mm Elbows 450 0.36

(0 C) Gate valves 1 0.19

Globe valves 10.00

Angle valves 5.00

Butterfly valves

m/ s Check valves 2.50

Tank inlet 0.50

cm2 / s Tank outlet 1.00

m Sudden enlargement

dimensionless Abrupt narrowing

D21 result is correct Others 0.15

only if D22 cell = zero. Others

m l equivalent (m)

m

m

Continue

STRAIGHT PIPE EQUIVALENT LENGTH FOR FITTINGS

SPREADSHEET OF HEADLOSSES IN PIPES

From above table, Shf totales = 0. 594 m ≈ 0. 60 m.

l equivalent (m)

0.00

0.00

9.24

0.00

0.98

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

0.00

10.22

EQUIVALENT LENGTH FOR FITTINGS

p1 (m.c.a.) = 4.5

(Z1 - Z2) (m) = -2.5

h f totales (m) = 0.59

Q (lpm) = 415

Finally: p2 (m.c.a.) = (Z1 - Z2) + p1 (m.c.a.) - hf totales

p2 (m.c.a.) = 1.4

From above table, Shf totales = 0. 594 m ≈ 0. 60 m.

Finally: p2 (m.c.a.) = (Z1 - Z2) + p1 (m.c.a.) - hf totales

RETURN

= 0. 594 m ≈ 0. 60 m.

2. 5 m