The Mechanical Engineering Handbook



Induced Velocity (Momentum Theory)

Induced Velocity (Momentum Theory) Equation



$$ v_i = \frac{T}{2 \rho A v_0} $$ where:

vi   =   Induced Velocity   (m/s)

T   =   Thrust   (N)

ρ   =   Density of fluid   (kg/m³)

A   =   Propeller disk area   (m²)

v0   =   Freestream Velocity   (m/s)


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Equation Assumptions



  • The system is in steady state.
  • Flow through propeller is purely axial.
  • The flow is inviscid.
  • Fluid flow is irrotational.
  • Propeller blades are thin relative to the span of the propeller.