The Mechanical Engineering Handbook



Power Coefficient

Power Coefficient Equation



$$ C_P = \frac{P}{\rho n^3 D^5} $$ where:

CP   =   Power Coefficient (Dimensionless)

P   =   Shaft power delievered to the propeller   (W)

ρ   =   Density of fluid   (kg/m³)

n   =   Rotational speed of propeller   (rev/s)

D   =   Diameter of the propeller   (m)


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Equation Assumptions



  • The system is in steady state.
  • Fluid is incompressible.
  • The flow is at the propeller disk is uniform.
  • The fluid behaves as an ideal gas.
  • There are no propeller interaction effects.