ENGINEERING TOOL

Pump Affinity Laws Calculator

Estimate centrifugal pump flow, head and shaft power after a speed change at fixed impeller diameter.

Pump Affinity Laws Calculator

FREE ONLINE TOOL
Calculation preview
Flow: 100 → 80 m³/h; Head: 30 → 19.2 m; Power: 15 → 7.68 kW
Flow
100 → 80 m³/h
Head
30 → 19.2 m
Power
15 → 7.68 kW

Initial · New

Schematic · not to scale

Formula and assumptions

r = n₂/n₁; Q₂ = Q₁r; H₂ = H₁r²; P₂ = P₁r³.

Speed-change model only. Same pump, liquid density, impeller and efficiency assumed at similar operating points. The actual duty follows the intersection with the system curve; static head, NPSH and motor limits must be checked separately. Not for positive-displacement pumps.

STEP BY STEP

How to use pump affinity laws calculator

  1. Check the input units and assumptions.
  2. Review the result and example.

IN PRACTICE

Example

1500 → 1200 RPM; Q₁ = 100 m³/h; H₁ = 30 m; P₁ = 15 kW → Q₂ = 80 m³/h; H₂ = 19.2 m; P₂ = 7.68 kW.

GOOD TO KNOW

Which formula is used?

r = n₂/n₁; Q₂ = Q₁r; H₂ = H₁r²; P₂ = P₁r³. Speed-change model only. Same pump, liquid density, impeller and efficiency assumed at similar operating points. The actual duty follows the intersection with the system curve; static head, NPSH and motor limits must be checked separately. Not for positive-displacement pumps.