Updated for 2026

Pump Head Calculator

Calculate pump head from pressure difference, flow rate, power, efficiency, and fluid density with support for meters, feet, psi, bar, and kPa.

Default workflow: Pressure Difference → Pump Head

Enter the relevant pressure difference and fluid density, then calculate head using H = ΔP/(ρg). More advanced modes solve head from hydraulic power or pump input power.

H = ΔP/(ρg) H = Phyd/(ρgQ) H = ηPshaft/(ρgQ)

Pump Head, Pressure & Hydraulic Power

Select the engineering relationship that matches the data you actually know.
Calculation Mode
Head from Pressure: pressure difference + density → pump head.
Head from Flow + Hydraulic Power: flow + hydraulic power + density → head.
Head from Flow + Power + Efficiency: flow + input power + pump efficiency + density → head.
Pressure from Head: head + density → equivalent pressure difference.
Hydraulic Power from Head: flow + head + density → hydraulic power.

1Pressure, Head & Flow

Use the relevant pressure increase across the pump or the pressure difference applicable to the head conversion.

2Power & Efficiency

Motor electrical input is not pump shaft input. When electrical input is selected, motor efficiency is applied before pump efficiency.

3Fluid Properties

998.2 kg/m³ is an approximate water reference near 20°C, not a universal water density.

Default: standard acceleration of gravity.

No final result is calculated until you click the button.

Calculation Results

Pump head from pressure
Inputs have changed since the last calculation. Click “Calculate Pump Head” to refresh the results.
Enter your values and click “Calculate Pump Head” to calculate the result.

What Is Pump Head?

Pump head represents the energy added to a fluid per unit weight. It is commonly expressed in metres or feet of fluid and is a convenient way to compare pump energy rise independent of a direct pressure unit.

Pump Head Formula

H = ΔP/(ρg)

For an incompressible fluid, pressure difference can be converted to pressure head using fluid density and gravitational acceleration.

Pressure Head

Pressure head is the pressure contribution expressed as an equivalent fluid height. The same pressure difference gives a different head when fluid density changes, which is why pressure and head should not be treated as identical quantities.

Total Dynamic Head (TDH)

Total Dynamic Head represents the total energy per unit weight that the pump must add to meet a system operating requirement. Depending on the system definition, it can include static elevation head, pressure head, pipe friction, fittings and minor losses, equipment losses, and velocity-head terms.

Pump head, static head, and total dynamic head are related concepts, but they are not automatically identical.

Static Head and Friction Head

Static head is associated primarily with elevation and pressure differences that exist independently of friction. Friction head is energy lost through pipe wall friction, fittings, valves, and other flow resistance. For system-side loss calculations, use the Pressure Drop Calculator.

Pump Head from Flow and Power

H = P_hyd/(ρgQ)
H = ηP_shaft/(ρgQ)

If the known power is motor electrical input rather than shaft power, motor efficiency must be applied before pump efficiency.

Pump Head vs Pressure — Water Reference

The following table is an approximate conversion using ρ = 1000 kg/m³ and g = 9.80665 m/s². It is a reference for water-like density only, not an exact conversion for every fluid or water temperature.

HeadApproximate Pressure
1 m9.81 kPa
5 m49.03 kPa
10 m98.07 kPa
20 m196.13 kPa
30 m294.20 kPa
50 m490.33 kPa
100 m980.67 kPa

Pump Head and Pump Curves

For centrifugal pumps, head changes with flow rate. A typical pump curve shows flow versus head and may also include efficiency, power, and NPSHR. A pump does not have one fixed head at every flow.

The actual operating point is determined by the intersection of the pump curve and system curve.

Best Efficiency Point (BEP)

The Best Efficiency Point is the operating region where a pump reaches its highest efficiency for the stated configuration and speed. BEP should not be treated as maximum flow, and it should be read from the manufacturer's performance data.

Pump Head vs Pump Flow

Pump head and flow are linked through the performance curve. For many centrifugal pump curves, available head decreases as flow increases, but the exact shape depends on pump design, speed, impeller diameter, and operating conditions.

Pump Head vs NPSH

Pump head is the energy added by the pump to the fluid. NPSH concerns suction-side pressure relative to vapor pressure and cavitation margin. They are different quantities. Use the NPSH Calculator for suction-side conditions.

2026 Engineering Reference

Updated for 2026. Fundamental pump-head equations are established engineering relationships and do not change annually. The 2026 update refers to current DOE pump-system references and NIST unit guidance rather than a new “2026 pump head formula.”

Limitations

This calculator does not replace manufacturer pump curves, detailed system modeling, field measurements, NPSH analysis, or qualified engineering review. Measurement locations and the system definition matter when comparing calculated head with manufacturer data.

Frequently Asked Questions

1. What is pump head?

Pump head is the increase in fluid energy per unit weight produced by the pump, commonly expressed in metres or feet of fluid. It is not simply the discharge pressure. A complete head assessment depends on the selected reference points and can include pressure, elevation, and velocity effects.

2. How do you calculate pump head?

If the relevant pressure difference is known for an incompressible fluid, calculate head with H = ΔP/(ρg). If hydraulic power and flow are known, use H = P_hyd/(ρgQ). If shaft input power and pump efficiency are known, hydraulic power can be obtained first.

3. What is the formula for pump head?

A common pressure-based relationship is H = ΔP/(ρg). For pump-duty power calculations, H = P_hyd/(ρgQ). These equations assume consistent reference points and appropriate incompressible-fluid conditions. Total system head may include more terms than pressure difference alone.

4. How do you calculate pump head from pressure?

Convert the pressure difference to pascals, use the actual fluid density in kg/m³ and gravity in m/s², then divide pressure by ρg. The result is head in metres. Convert metres to feet when needed. Use the relevant pressure difference, not an unrelated gauge reading.

5. How do you convert pressure to pump head?

Use H = ΔP/(ρg). Because density is in the denominator, the same pressure corresponds to a larger head for a lower-density fluid and a smaller head for a higher-density fluid. This is why pressure-to-head conversions must state the fluid density.

6. How many feet of head is 1 psi?

The answer depends on fluid density. For water near standard conditions, 1 psi is about 2.31 ft of water head, but the exact value changes with density. The calculator uses the entered density rather than assuming one universal psi-to-head conversion for every liquid.

7. How many meters of head is 1 bar?

For water-like density near 1000 kg/m³ and standard gravity, 1 bar is approximately 10.2 m of head. The exact result depends on the actual fluid density. Use H = 100000/(ρg) for a project-specific conversion.

8. How many psi is 10 meters of water head?

Using approximately 1000 kg/m³ and standard gravity, 10 m of water head is about 98.1 kPa or about 14.2 psi. Actual water density changes with temperature, so the exact conversion should use the density appropriate to the operating condition.

9. How many feet of head is 10 meters?

Ten metres of head equals about 32.81 ft because the head conversion is purely a length conversion: 1 m = 3.280839895 ft. This conversion does not depend on fluid density; only pressure-to-head conversion depends on density.

10. What is the difference between pump head and pressure?

Pressure is force per unit area, while head is energy per unit weight expressed as an equivalent fluid height. They are related by ΔP = ρgH for an incompressible fluid, so pressure depends on density while head is often a more useful pump-performance quantity.

11. Does pump head depend on fluid density?

The pump head corresponding to a measured pressure difference does depend on density through H = ΔP/(ρg). However, rotodynamic pump performance is commonly represented in head because head is less directly dependent on density than pressure rise for the same pump operating condition.

12. Does water temperature affect head calculations?

Water temperature changes density and viscosity. Density directly affects pressure-to-head conversion, while viscosity can affect pump and system performance. For accurate calculations, use fluid properties and pump curves that represent the actual operating temperature and composition.

13. Can I calculate pump head from horsepower?

Yes if flow and pump efficiency are also known. Convert mechanical horsepower to shaft power, multiply by pump efficiency to obtain hydraulic power, then use H = P_hyd/(ρgQ). If the horsepower is electrical motor input, motor efficiency must be applied first.

14. Can I calculate pump head from kW?

Yes, provided the kW value has a clear power basis and flow plus efficiency are known. Pump shaft power multiplied by pump efficiency gives hydraulic power, and head follows from H = P_hyd/(ρgQ). Electrical input needs motor-efficiency conversion first.

15. How do you calculate pump head from flow and power?

Determine hydraulic power and divide it by ρgQ. If hydraulic power is already known, use it directly. If only pump shaft power is known, multiply by pump efficiency. The resulting head is theoretical for the entered duty and should be compared with the pump curve.

16. How does pump efficiency affect calculated head?

For fixed shaft input power and flow, higher pump efficiency means more hydraulic power reaches the fluid and therefore a higher theoretical head from H = ηP/(ρgQ). Pump efficiency itself changes with operating point, so use the appropriate curve value.

17. Can I calculate pump head without knowing pump efficiency?

Yes when either pressure difference or hydraulic power is known directly. Efficiency is only required when converting shaft or motor input power into hydraulic power. If input power is the only power measurement and efficiency is unknown, the energy conversion to hydraulic duty is incomplete.

18. What is total dynamic head?

Total Dynamic Head is the total head requirement a pump must overcome for the selected system definition. It can include elevation, pressure differences, pipe and fitting friction, equipment losses, and velocity-head terms. The exact balance depends on system reference points and operating conditions.

19. What is the difference between static head and total dynamic head?

Static head generally represents elevation and pressure components that exist independently of flow friction. Total Dynamic Head adds the relevant flow-dependent losses and other energy terms required by the system. Static head is therefore only one possible component of the total system head requirement.

20. What is friction head?

Friction head is the energy per unit weight lost because of pipe wall shear and localized resistance from fittings, valves, entrances, exits, and equipment. It increases with flow and system resistance and contributes to the system head that a pump must overcome.

21. Do pipe losses reduce pump head?

Pipe losses do not change what a pump curve itself defines at a given operating point; instead, they increase the system head requirement and shift the operating point where the pump and system curves intersect. Higher system resistance often leads to a different flow and head combination.

22. Do valves affect required pump head?

Yes. Valves add pressure loss when fluid flows through them, so they can increase the system head requirement. A throttled control valve can significantly change the system curve. The pump operating point then moves according to the interaction between the new system curve and pump curve.

23. Does elevation affect pump head requirements?

Yes. Raising fluid to a higher elevation requires static elevation head. The vertical height difference between appropriate system reference points is a direct contribution to the head the pump must supply, in addition to pressure requirements and friction or equipment losses.

24. Is pump head the same at every flow rate?

No. For many centrifugal pumps, head changes as flow changes according to the pump performance curve. The exact relationship depends on pump design, speed, impeller diameter, and fluid conditions. A single nameplate head should not be assumed to apply at every flow.

25. What is a pump performance curve?

A pump performance curve shows how head changes with flow for a particular pump, speed, and impeller configuration. It often also shows efficiency, required power, and NPSHR. Engineers use it together with the system curve to determine the actual operating point.

26. What is the operating point of a pump?

The operating point is the flow and head where the pump curve intersects the system curve. It represents the balance between the pump's available performance and the system's required head. Changing speed, valve position, pipe resistance, or static head can move the operating point.

27. What is the Best Efficiency Point?

The Best Efficiency Point is the operating region where the pump reaches its highest efficiency for the stated configuration. It is usually identified on the manufacturer performance curve. BEP is not automatically the maximum-flow point or the rated-flow value for every pump.

28. Can this calculator be used for centrifugal pumps?

Yes. Pump-head calculations are central to centrifugal-pump selection and performance evaluation. The calculator can convert pressure to head and connect flow, power, and efficiency. Final equipment selection should still use the actual pump curve and system curve at the intended speed and configuration.

29. Can this calculator be used for water pumps?

Yes. The default water density is an approximate value near 20°C and remains editable. Use actual water density when temperature or composition differs. Final pump behavior also depends on the manufacturer's curve, system resistance, operating point, and NPSH conditions.

30. Can this calculator be used for industrial pumps?

It can provide preliminary engineering relationships for many liquid pumping systems. Industrial applications may require more detailed data on fluid properties, equipment losses, pipe systems, pump curves, motor performance, controls, and operating conditions before final design or troubleshooting decisions are made.

31. What is the difference between pump head and NPSH?

Pump head describes energy added across the pump. NPSH evaluates suction-side pressure relative to the liquid vapor pressure and pump NPSH requirement. NPSH is primarily a cavitation/suction condition; it should not be added to or substituted for ordinary pump head.

32. Why is my calculated pump head different from the manufacturer's value?

Possible reasons include different flow rate, speed, impeller diameter, fluid density, measurement locations, pressure reference, efficiency, instrument accuracy, or system conditions. Manufacturer head values usually correspond to specific points on a performance curve rather than one universal head for the pump.

33. Why does pump head change when flow changes?

Internal pump hydraulics change with operating flow. For many centrifugal pumps, the head-flow relationship slopes downward as flow increases, but the exact shape depends on design. The real relationship should be taken from the manufacturer's pump curve rather than assumed from one simplified rule.

34. Can pump pressure be converted directly to head?

Yes when the pressure difference and fluid density are known and the pressure difference corresponds to the same reference used for the head calculation. Use H = ΔP/(ρg). A single discharge gauge reading is not automatically the same as pump differential head.

35. What density should I use for water?

Use density corresponding to the actual operating temperature and composition. The calculator's 998.2 kg/m³ default is an approximate reference near 20°C. Hot water, chilled water, brine, and process-water mixtures can have different density and should use more appropriate property data.

36. Can pump head be negative?

Signed head can occur depending on the chosen reference direction and energy balance, but this calculator defaults to positive pump-rise calculations. A negative measured or calculated result should be reviewed carefully to confirm pressure taps, sign convention, flow direction, and whether the device is adding or removing energy.

37. What happens if pressure difference is zero?

A zero pressure difference corresponds to zero pressure head under H = ΔP/(ρg). However, total pump head could still involve elevation or velocity terms depending on the measurement locations and full energy balance. This calculator's pressure mode only converts the supplied pressure difference to head.

38. How accurate is a pump head calculation?

The equation itself is straightforward, but accuracy depends on the measurements and assumptions: pressure-tap location, density, flow, power basis, efficiency, elevation, velocity terms, instrumentation, and whether all data represent the same operating condition. Final engineering work should use calibrated measurements and manufacturer data.

39. Should I use discharge pressure or pressure difference?

Use the relevant pressure difference across the pump or between the engineering reference points. Discharge pressure alone is insufficient if suction pressure is not negligible. A full pump-head calculation may also require elevation and velocity-head differences between the measurement locations.

40. Does pipe diameter affect required pump head?

Yes indirectly through system resistance. Smaller pipe diameter generally increases velocity and friction loss for a given flow, raising the system head requirement. Pipe diameter does not appear directly in the simple pressure-to-head conversion, but it strongly affects the system curve and operating point.

41. How do I determine the head required for a pumping system?

Build a system energy balance that includes static elevation, pressure requirements, pipe and fitting friction, equipment losses, and relevant velocity-head terms. Evaluate these at the desired flow rate to obtain the system head requirement, then compare it with candidate pump curves.

42. What is pressure head?

Pressure head is pressure expressed as an equivalent height of the fluid: H_pressure = ΔP/(ρg). It is one component that can appear in a pump or system energy balance. Because density appears in the conversion, equal pressure does not mean equal head for different fluids.

43. What is velocity head?

Velocity head is V²/(2g), an energy-per-unit-weight term associated with fluid velocity. Differences in velocity head can matter when suction and discharge pipe sizes or measurement locations differ. It is distinct from pressure head and static elevation head.

44. Does pump speed affect pump head?

Yes. Changing speed shifts the performance curve of many rotodynamic pumps and can change head, flow, and power. Affinity-law approximations are often useful under appropriate conditions, but final performance should be checked against manufacturer data and applicable operating limits.

45. Does impeller diameter affect pump head?

Yes. Impeller diameter is a major parameter in centrifugal-pump performance. Trimming or selecting a different impeller changes the head-flow curve and can alter efficiency and power. Use the manufacturer's performance curves for the actual impeller diameter rather than assuming one fixed head relationship.

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Engineering Disclaimer

This calculator provides a simplified estimate of pump head using user-supplied pressure, flow, power, efficiency, and fluid-property data. Actual pump performance and system head requirements depend on pump characteristics, operating conditions, elevation, pipe friction, fittings, valves, equipment losses, fluid properties, and measurement locations. For pump selection, system design, troubleshooting, or final engineering decisions, use manufacturer performance curves, field measurements, applicable engineering standards, and qualified engineering review.