Pumps and Fans - Energy Equation and Head Rise

Calculate the actual head rise of a pump or fan using the Energy Equation. Compute pressure head difference, specific work, and head rise for both inline pumps and fans.

Calculator

Inputs

Inlet Pressure (p₁) (Pa)

Outlet Pressure (p₂) (Pa)

Fluid Density (ρ) (kg/m³)

Acceleration of Gravity (g) (m/s²)

Inlet Elevation (h₁) (m)

Outlet Elevation (h₂) (m)

Inlet Velocity (v₁) (m/s)

Outlet Velocity (v₂) (m/s)

Results

Pressure Head Rise-- m fluid column

Elevation Head Rise-- m

Velocity Head Rise-- m

Actual Head Rise (hₐ)-- m fluid column

Specific Work (w)-- J/kg

Fluid	Inlet Pressure	Outlet Pressure	Fluid Density	Pressure Head	Head Unit
Water	1 bar (1×10⁵ Pa)	10 bar (10×10⁵ Pa)	1000 kg/m³	91.7	m Water Column
Hot Air	400 Pa	400 Pa (gauge)	1.06 kg/m³	38.5	m Air Column
Hot Air (ref. to water)	400 Pa	400 Pa (gauge)	1000 kg/m³ (water)	0.041	m Water Column (41 mm)