Hydraulic and shaft power of a pump Calculator

SI-units

flow capacity (m3/h)
density of fluid (kg/m3)
gravity (m/s2)
differential head (m)
pump efficiency

Imperial units

flow capacity (gpm)
density of fluid (lb/ft3)
gravity (ft/s2)
differential head (ft)
pump efficiency

Shaft Pump Power formula

Ps = Ph / η

where

η = pump efficiency

Ps = shaft power (kW)

Hydraulic Pump Power formula

Ph = q ρ g h / (3.6 106)

where

g = gravity (9.81 m/s2)

Ph = power (kW)

q = flow capacity (m3/h)

ρ = density of fluid (kg/m3)

h = differential head (m)