Pumps & Pipes

Pump Power

Shaft power required to lift a given discharge against a total dynamic head. Total head should include static lift, friction losses, and minor losses.

Formula

P = ρ · g · Q · H / η

Discharge, QL/s

Total dynamic head, Hm

Pump efficiency, ηp%

Motor efficiency, ηm%

Fluid density, ρkg/m³

Resultlive

Water (hydraulic) power: 14.715kW
Shaft (brake) power: 21.021kW
Electrical input power: 23.357kW
Shaft power (HP): 28.19HP
Recommend pump rating: 32.42HP

Recommend pump rating: Approximate 15% margin on shaft HP.

Reference: Standard hydraulic pump formula. ηp typical for centrifugal water pumps: 60–80%.