Water pumping - required power

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The energy transmitted to the water by bomba is called water power - and can be calculated as

P whp = qh SG / (3960 μ) (1)

Where

P whp = Water power (HP)

Q = flow (gal/min)

H = Head (ft)

SG = 1 for specific gravity of water

μ = pump efficiency (decimal value)

Power can also be calculated as:

P whp = q dp / (1715 μ) (2)

Where

P whp = Water power (HP)

DP = Pressure provided (psi)

Example - Power required to pump water

20 gallons of water per minute They are high 20 feet . The necessary power (eg loss of friction in the pipe and efficiency = 1.0) can be calculated as

P whp = (20 gpm) (20 feet) (1) / (3960 (1.0))

= 0,10 cv

Power required to pump water to 60 o F with ideal pump efficiency 1.0:

Power required to pump water (hp)
Volume flow
(gpm)
Height (feet)
5 10 15 20 25 30 35 40 50
5 0,00631 0,0126 0,0189 0,0253 0,0316 0,0379 0,0442 0,0505 0,0631
10 0,0126 0,0253 0,0379 0,0505 0,0631 0,0758 0,0884 0,101 0,126
15 0,0189 0,0379 0,0568 0,0758 0,0947 0,114 0,133 0,152 0,189
20 0,0253 0,0505 0,0758 0,101 0,126 0,152 0,177 0,202 0,253
25 0,0316 0,0631 0,0947 0,126 0,158 0,189 0,221 0,253 0,316
30 0,0379 0,0758 0,114 0,152 0,189 0,227 0,265 0,303 0,379
35 0,0442 0,0884 0,133 0,177 0,221 0,265 0,309 0,354 0,442
40 0,0505 0,101 0,152 0,202 0,253 0,303 0,354 0,404 0,505
45 0,0568 0,114 0,170 0,227 0,284 0,341 0,398 0,455 0,568
50 0,0631 0,126 0,189 0,253 0,316 0,379 0,442 0,505 0,631
60 0,0758 0,152 0,227 0,303 0,379 0,455 0,530 0,606 0,758
70 0,0884 0,177 0,265 0,354 0,442 0,530 0,619 0,707 0,884
80 0,101 0,202 0,303 0,404 0,505 0,606 0,707 0,808 1,01
90 0,114 0,227 0,341 0,455 0,568 0,682 0,795 0,909 1,14
100 0,126 0,253 0,379 0,505 0,631 0,758 0,884 1,01 1,26

Observation! Individual bombs curves should always be used for exact calculations.

Energy consumption in metric units

Water consumption for water pumping can be expressed in metric units such as

P = qh ρ / (6116 10 3 m) (3)

Where

P = power (kW)

Q = flow (liter/min)

H = Head (m)

ρ = density (kg/m 3 ) (Water 1000 kg/m 3 )

μ = pump efficiency (decimal value)

Example - Power required to pump water

The power required to pump 100 l/min of water to an elevation of 10 m (Ex. Friction loss in the pipe and Efficiency = 1.0 ) can be calculated as

P = (100 litros/min) (10 m) (1000 kg/m 3 ) / (6116 10 3 (1,0))

= 0,16 kW

Source: https://www.engineeringtoolbox.com/pumping-water-horsepower-d_753.html

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