The Mechanical Engineering Handbook



Stagnation Density

Stagnation Density Equation



$$ \frac{\rho_0}{\rho} = T \left( 1 + \frac{\gamma - 1}{2} M^2 \right)^{\frac{1}{\gamma - 1}} $$ where:

ρ0   =   Stagnation Density   (kg/m³)

ρ   =   Static Density   (kg/m³)

M   =   Mach Number   (Dimensionless)

γ   =   Ratio of Specific Heats   (Dimensionless)


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Equation Assumptions



  • The fluid is compressible.
  • The flow is isentropic.
  • The system is in steady-flow.
  • The fluid behaves as an ideal gas.
  • There is no external work or heat transfer.