Horsepower can also be calculated as:
Pwhp = q dp / (1715 μ) (2)
where
Pwhp = water horsepower (hp)
dp = delivered pressure (psi)
20 gallons of water per minute is elevated 20 ft. The horsepower required (ex. friction loss in piping and efficiency = 1.0) can be calculated as
Pwhp = (20 gpm) (20 ft) (1) / (3960 (1.0))
= 0.10 hp
Power required to pump water at 60oF with ideal pump efficiency 1.0:
Volume Flow (gpm) | Power (hp) | ||||||||
---|---|---|---|---|---|---|---|---|---|
Height (ft) | |||||||||
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 |
Note! Individual pump curves should always be used for exact calculations.
The power consumption for pumping water can be expressed in metric units as
P = q h ρ / (6116 103 μ) (3)
where
P = power (kW)
q = flow (liter/min)
h = head (m)
ρ = density (kg/m3) (water 1000 kg/m3)
μ = pump efficiency (decimal value)
The power required to pump 100 l/min water an elevation of 10 m (ex. friction loss in piping and efficiency = 1.0) can be calculated as
P = (100 liter/min) (10 m) (1000 kg/m3) / (6116 103 (1.0))
= 0.16 kW
Piping systems and pumps - centrifugal pumps, displacement pumps - cavitation, viscosity, head and pressure, power consumption and more.
An introduction to Centrifugal Pumps.
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Introduction tutorial to positive displacement pumps basic operating principles.
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Calculate the power gained by fluid from an operating pump or fan.
Calculate pumps hydraulic and shaft power.
Calculate the energy cost of pumping water.
Turbo machines affinity laws can be used to calculate volume capacity, head or power consumption in centrifugal pumps when changing speed or wheel diameters.
Converting head (ft or m) to pressure (psi or bar, kg/cm2) and vice versa.
An introduction to pumps and the Net Positive Suction Head (NPSH).
Adding head and flowrate for pumps arranged in parallel vs. serial.
British Horse Power as used for pumps, fans and turbines - and how to convert to other units.
Calculate specific work done by pumps, fans, compressors or turbines.
Water pump calculations.
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