Pumps

Reservoir-to-Reservoir Pump Duty

Enter values in the stated units. Example inputs are provided to help you explore the method.

Results

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Combine reservoir elevation and pressure differences with pipe and local losses at an entered flow rate.
Hsystem = Δz + Δp/(ρg) + hf + K v²/(2g). Reservoir velocities are negligible; all loss coefficients must refer to the same pipe velocity.
Pipe friction uses Darcy–Weisbach with 64/Re below Re 2300 and Swamee–Jain otherwise. The transition range is uncertain.
For positive head: Phydraulic = ρgQH, Pshaft = Phydraulic/ηpump, Pelectrical = Pshaft/ηmotor. Enter efficiencies as fractions, not percentages.
Negative system head indicates surplus driving head at the imposed flow. Pumping power is zero in that case; control or dissipation would be needed. This is not turbine-output prediction.
Use liquid properties for the operating temperature and pressure. Assumes steady incompressible single-phase flow and one uniform pipe bore; include entrance, exit, valve and fitting losses in K.
This is a duty estimate, not a pump selection, actual operating-point solution, motor nameplate rating or NPSH/cavitation check. Use manufacturer curves and an application-specific margin separately.