Density Ratio Across a Normal Shock Calculator

Density Ratio Across a Normal Shock

Density Ratio Across a Normal Shock Equation

$$ \frac{\rho_2}{\rho_1} = \frac{(\gamma + 1) M_1^2}{(\gamma - 1)M_1^2 + 2} $$ where:

ρ₁ = Static density before the shock (kg/m³)

ρ₂ = Static density after the shock (kg/m³)

M = Mach Number (Dimensionless)

γ = Ratio of Specific Heats (Dimensionless)

Calculator

Property to Calculate:

Static density before the shock (ρ₁):

Static density after the shock (ρ₂):

Mach Number (M):

Ratio of Specific Heats (γ):

Equation Assumptions

Flow is steady.
Flow is one-dimensional.
Shock is normal to flow direction.
The fluid behaves as an ideal gas.
Process is adiabatic.