Pump Head Pressure Calculator
Calculate the pressure developed by a pump given the total head, fluid density, and gravitational acceleration. Also computes hydraulic power required.
Formulas Used
Pressure Rise:
ΔP = ρ × g × H
- ΔP = pressure developed by the pump [Pa]
- ρ = fluid density [kg/m³]
- g = gravitational acceleration [m/s²]
- H = total pump head [m]
Hydraulic Power:
Ph = ρ × g × H × Q
- Q = volume flow rate [m³/s]
Shaft (Input) Power:
Pshaft = Ph / η
- η = pump efficiency (fraction, 0–1)
Assumptions & References
- Fluid is incompressible and Newtonian.
- Total head (H) includes static head, velocity head, and friction/minor losses.
- Standard water density is 1000 kg/m³ at 4 °C; adjust for temperature or other fluids.
- Standard gravitational acceleration is 9.81 m/s².
- Pump efficiency (η) accounts for hydraulic, volumetric, and mechanical losses combined.
- Shaft power is the power that must be supplied to the pump shaft by the motor.
- Reference: Munson, Young & Okiishi, Fundamentals of Fluid Mechanics, 8th ed.
- Reference: White, F.M., Fluid Mechanics, 8th ed., McGraw-Hill.