Pump Head from Power Calculator
Calculate pump head from power with transparent engineering inputs and the displayed formula.
Run deterministic checks for missing or mixed units, physical bounds, detectable out-of-range values and formula applicability. This is not an engineering approval or a complete code/compliance check.
Export the current calculation inputs and outputs with formula, assumptions, confirmed source credits, automated verification status, tool version and timestamp.
PROFENG Pro unlocks calculation-record exports. The calculation itself remains free.
PROFENG provides this tool for engineering screening and educational use. Check the calculation basis, units, physical assumptions, applicable standards, safety factors, equipment data and project-specific requirements before design, procurement or operation.
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Why use this pump head from power calculator?
Calculate pump head from power with transparent engineering inputs and the displayed formula. The displayed relationship is H = Pη / (ρgQ).
What this calculation does
This calculator determines head from shaft power, pump efficiency, fluid density, flow. Use it for preliminary hydraulic screening, sanity checks and transparent comparison of operating cases before detailed equipment or piping design.
Formula and engineering variables
H = Pη / (ρgQ)
| Variable | Definition | Unit | Working guidance |
|---|---|---|---|
power | Shaft power | kW | Illustrative screening band: 0 to about 250 kW. This is not a design limit. |
eta | Pump efficiency | % | Physical screening range: greater than 0% and no more than 100%. |
rho | Fluid density | kg/m³ | Illustrative screening band: 0 to about 9,980 kg/m³. This is not a design limit. |
flow | Flow | m³/s | Illustrative screening band: 0 to about 1 m³/s. This is not a design limit. |
Ranges above are screening guidance or physical bounds where stated. They are not code limits or manufacturer ratings.
Calculated outputs
- Head (m): power*1000*(eta/100)/(rho*9.80665*flow)
Worked example
- Shaft power (power) = 25 kW
- Pump efficiency (eta) = 75 %
- Fluid density (rho) = 998 kg/m³
- Flow (flow) = 0.05 m³/s
(25)*1000*((75)/100)/((998)*9.80665*(0.05)) = 38.316 mHead: 38.316 mAssumptions
- Inputs describe one consistent operating case and use the displayed units.
- Fluid properties are represented by the entered values and are treated as uniform for the calculation.
- Steady-state behavior is assumed unless the formula explicitly includes time dependence.
Limitations
- Transient effects, fittings, compressibility, cavitation margin and manufacturer performance data may require separate treatment.
- Final piping and rotating-equipment design must use the governing project criteria and applicable codes or standards.
- A formula-level published source has not yet been confirmed for this exact implementation.
- Until the source is confirmed, use the displayed relationship only as a transparent screening implementation and independently check the method before engineering decisions.
- The displayed default values are a worked example only; replace them with traceable project or measurement data.
Formula source and acknowledgement
Source being confirmed. PROFENG has not yet approved a published source for this exact implementation, so no candidate book, paper or standard is displayed here.
Limits of use for this relationship
- A formula-level published source has not yet been confirmed for this exact implementation.
- Until the source is confirmed, use the displayed relationship only as a transparent screening implementation and independently check the method before engineering decisions.
Read the PROFENG methodology for formula sourcing and automated checks →
How to use it
Start with the inputs shown above, review the assumptions or options, then generate the result. Where the tool creates a file, keep the original until you have opened and checked the downloaded output.
Frequently asked questions
What does Pump Head from Power Calculator calculate?
This calculator determines head from shaft power, pump efficiency, fluid density, flow. Use it for preliminary hydraulic screening, sanity checks and transparent comparison of operating cases before detailed equipment or piping design.
What formula does Pump Head from Power Calculator use?
The calculator uses H = Pη / (ρgQ). Every input used by the implementation is listed in the variable table on this page.
How is the worked example for Pump Head from Power Calculator checked?
PROFENG substitutes the displayed default values into the implemented relationship and compares the result against automated verification cases where an independent verifier is available.
What assumptions matter most for Pump Head from Power Calculator?
Inputs describe one consistent operating case and use the displayed units. Fluid properties are represented by the entered values and are treated as uniform for the calculation. Steady-state behavior is assumed unless the formula explicitly includes time dependence.
Can I use this result for final design or procurement?
Use it as an engineering screening calculation. Final design, procurement, operation or compliance decisions require project-specific data and the applicable engineering method, standard or manufacturer information.
QA, changelog and corrections
Last QA update: 30 September 2026.
Automated verification passed – 30 September 2026 – six numerical cases checked, with dimensional checks, independent cross-checks for calculators, and unit round-trip checks for converters where applicable.
Changelog
30 September 2026 – source/indexation status, metadata and correction pathway reviewed. Engineering tools display the automated verification label only when they are inside the passing Part 3 verification scope.