EngiRef / Fluids Engineering Formula

Pump Power

Pump Power: Power required by pump. A Pipe Flow formula in fluids engineering. Variables P, ρ, g, Q, H and η, each with SI and imperial units.

Pipe Flow

Specification

Name
Pump Power
Discipline
fluids
Category
Pipe Flow
LaTeX
P = \frac{\rho g Q H}{\eta}
Description
Power required by pump
Conditions
Hydraulic power; efficiency η is a fraction between 0 and 1
Can solve for
P, Q, H, η
Tags
pump, power, head, flow

Variables

Variables for Pump Power
SymbolNameUnitSi UnitImperial Unit
PPowerWWhp
ρFluid Densitykg/m³kg/m³ -
gGravitym/s²m/s² -
QFlow Ratem³/sm³/sgpm
HHeadmmft
ηEfficiency - - -

Common questions

What is the Pump Power formula?
Power required by pump. It sits under Pipe Flow, Fluids engineering in the EngiRef reference.
What do the symbols in the Pump Power formula mean?
In Pump Power, P is power in W; ρ is fluid density in kg/m³; g is gravity in m/s²; Q is flow rate in m³/s; H is head in m; η is efficiency.
When does the Pump Power formula apply?
Pump Power holds under this condition: Hydraulic power; efficiency η is a fraction between 0 and 1.