Turbo Machines - Specific Work done by Pumps, Compressors or Fans

Calculate specific work (work per unit weight) for pumps, fans, compressors, and turbines. Specific work is expressed in Nm/kg, J/kg, or m²/s². This tool supports calculations for incompressible fluids (pumps, fans, turbines) and compressible fluids (compressors, gas turbines).

Machine TypeFormulaInputsSpecific Work (Nm/kg)Head (m)
Pump/Fan (Incompressible)w = (p2 - p1) / ρp1, p2, ρ=((inputs.p2-inputs.p1)/inputs.rho)=(((inputs.p2-inputs.p1)/inputs.rho)/9.81)
Turbine (Incompressible)w = (p1 - p2) / ρp1, p2, ρ=((inputs.p1-inputs.p2)/inputs.rho)=(((inputs.p1-inputs.p2)/inputs.rho)/9.81)
Compressor (Isentropic)w = (κ/(κ-1)) × R × T1 × ((p2/p1)^((κ-1)/κ) - 1)κ, R, T1, p1, p2=(inputs.kappa/(inputs.kappa-1)*inputs.R*inputs.T1*((inputs.p2/inputs.p1)^((inputs.kappa-1)/inputs.kappa)-1))=((inputs.kappa/(inputs.kappa-1)*inputs.R*inputs.T1*((inputs.p2/inputs.p1)^((inputs.kappa-1)/inputs.kappa)-1))/9.81)
Gas Turbinew = (κ/(κ-1)) × R × T1 × (1 - (p2/p1)^((κ-1)/κ))κ, R, T1, p1, p2=(inputs.kappa/(inputs.kappa-1)*inputs.R*inputs.T1*(1-(inputs.p2/inputs.p1)^((inputs.kappa-1)/inputs.kappa)))=((inputs.kappa/(inputs.kappa-1)*inputs.R*inputs.T1*(1-(inputs.p2/inputs.p1)^((inputs.kappa-1)/inputs.kappa)))/9.81)
Calculator

Inputs

Results

Specific Work-- Nm/kg
Head-- m
Calculator

Inputs

Results

Specific Work-- Nm/kg
Head-- m
Calculator

Inputs

Results

Specific Work-- Nm/kg
Head-- m
Turbo Machines - Specific Work done by Pumps, Compressors or Fans | MEPKit Engineering Tools | MEPKit