Pump Affinity Calculator
Calculate new pump performance (flow, head, power) when speed or impeller diameter changes using the affinity laws.
New Flow Rate (Q2)
120.7 m³/h
New Flow Rate (Q2) vs Original Flow Rate (Q1)
Formula
## Pump Affinity Laws The affinity laws predict how centrifugal pump performance changes with rotational speed or impeller diameter. They are essential for variable-speed pump sizing. ### Speed Change Laws **Q2/Q1 = N2/N1** (flow scales linearly) **H2/H1 = (N2/N1)²** (head scales with speed squared) **P2/P1 = (N2/N1)³** (power scales with speed cubed) The same relationships apply for impeller diameter changes (replacing N with D). The cubic power relationship makes VFDs very effective for energy savings.
Esempio Risolto
A pump at 1450 RPM delivers 100 m³/h at 30 m head, consuming 15 kW. Speed increased to 1750 RPM.
- 01Speed ratio = 1750 / 1450 = 1.2069
- 02Q2 = 100 × 1.2069 = 120.7 m³/h
- 03H2 = 30 × 1.2069² = 30 × 1.4566 = 43.7 m
- 04P2 = 15 × 1.2069³ = 15 × 1.7581 = 26.37 kW