Motor systems

Pump and Fan Speed Energy Calculator

Estimate relative pump or fan flow, head, and shaft power at a changed speed using the ideal affinity laws.

Pump and fan affinity laws

Enter a matching operating point

rpm
rpm
gpm
ft
hp

Ideal affinity-law estimate

Estimated shaft power at target speed
8.89 hp
Flow600 gpm
Head53.33 ft
Speed ratio66.67%
Screening estimate onlyApplies ideal affinity laws to one matching base operating point. Actual flow and power depend on the system curve, static head, efficiency changes, control strategy, and equipment operating limits. Verify the operating point with pump or fan curves and manufacturer data.

About this calculator

Enter one pump or fan operating point and a target speed to estimate relative flow, head, and shaft power. It is intended for preliminary comparison of speed changes.

Confirm the expected operating point against the system curve and equipment documentation before using the estimate for an application decision.

Method and assumptions

For geometrically similar operation, the ideal affinity-law ratios are flow ∝ speed, head ∝ speed², and shaft power ∝ speed³. The calculator applies those ratios to the entered base values.

This simplified model does not solve a pump or fan curve against a system curve. Static head, efficiency changes, minimum flow, motor cooling, vibration, cavitation, and control limits are not modeled.

FAQs

What base values should I enter?

Use flow, head, and shaft power that describe the same measured or documented operating point at the entered base speed.

Does this predict the actual flow in my system?

No. It is a screening estimate. Static head, the system curve, control method, efficiency changes, and equipment limits can materially change the actual result.

Sources

Verify affinity-law use, operating curves, and allowable speed range against the pump or fan manufacturer’s engineering documentation.