Calculate Head Pressure for Pump

Pump Head Pressure Calculator

Enter system data below. The form uses three columns on large screens, two on smaller screens, and one on mobile.

Flow Rate (m³/h)

Required system flow rate.

Pipe Length (m)

Used for friction loss.

Pipe Diameter (mm)

Internal diameter is best.

Static Head (m)

Elevation difference across the system.

Suction Pressure (kPa)

Gauge value at pump suction.

Discharge Pressure (kPa)

Gauge value at pump discharge.

Fluid Density (kg/m³)

Water is near 998 at room temperature.

Friction Factor

Darcy friction factor.

Minor Loss Coefficient (K)

Sum of fittings and valves.

Pump Efficiency (%)

Used for shaft power.

Reset

Example Data Table

This example matches the default values already loaded into the calculator.

Case	Flow Rate	Pipe Length	Pipe Diameter	Static Head	Pressure Difference	Total Head	Shaft Power
Water Transfer Line	45 m³/h	120 m	80 mm	18 m	220 kPa	53.25 m	8.69 kW
Compact Booster Set	18 m³/h	60 m	50 mm	10 m	160 kPa	31.40 m	2.72 kW
High Rise Fill Line	30 m³/h	150 m	65 mm	28 m	260 kPa	63.90 m	7.82 kW

Formula Used

This page estimates total head from pressure, elevation, velocity, friction, and minor losses.

Q = Flow Rate / 3600 A = π × D² / 4 V = Q / A Velocity Head = V² / (2g) Pressure Head = (Pdischarge − Psuction) / (ρg) Friction Head = f × (L / D) × V² / (2g) Minor Head = K × V² / (2g) Total Dynamic Head = Static Head + Pressure Head + Friction Head + Minor Head + Velocity Head Hydraulic Power = ρgQH / 1000 Shaft Power = Hydraulic Power / Efficiency

Where Q is flow in m³/s, A is pipe area, V is velocity, g is gravitational acceleration, ρ is fluid density, f is Darcy friction factor, K is the combined minor loss coefficient, and H is total dynamic head.

How to Use This Calculator

Enter the required flow rate for the pump system.
Provide pipe length and internal pipe diameter.
Add static head between suction and discharge levels.
Enter suction and discharge gauge pressures.
Set fluid density, friction factor, and minor loss coefficient.
Enter pump efficiency to estimate shaft power.
Press Calculate Now to view results above the form.
Use the export buttons to save result data as CSV or PDF.

FAQs

1) What does pump head mean?

Pump head is the energy added to the fluid, expressed as height. It helps compare pump duty without depending only on pressure units.

2) Why is pressure converted into head?

Converting pressure into head puts elevation, friction, and pressure on one scale. That makes system analysis simpler and easier to compare.

3) What friction factor should I use?

Use a Darcy friction factor from your design method, chart, or software. It depends on Reynolds number and pipe roughness.

4) What are minor losses?

Minor losses come from bends, tees, valves, strainers, and fittings. Add their K values together before entering the total.

5) Does fluid density change the answer?

Yes. Density affects pressure head conversion and power demand. Heavier fluids need more power for the same flow and head.

6) Is this suitable for water systems?

Yes. The default values suit water examples well. You can also use other liquids by changing density and loss assumptions.

7) Why is shaft power higher than hydraulic power?

Hydraulic power reaches the liquid. Shaft power includes pump inefficiency, so the motor must supply more than the hydraulic output.

8) Can I use this for final equipment selection?

Use it for screening and early sizing. Final pump selection should still check manufacturer curves, NPSH, materials, and operating range.