Pressure Ratio Across a Normal Shock Calculator

Pressure Ratio Across a Normal Shock

Pressure Ratio Across a Normal Shock Equation

$$ \frac{p_2}{p_1} = 1 + \frac{2 \gamma}{\gamma + 1} (M_1^2 - 1) $$ where:

p₁ = Static pressure before the shock (kg/m³)

p₂ = Static pressure after the shock (kg/m³)

M₁ = Mach Number (Dimensionless)

γ = Ratio of Specific Heats (Dimensionless)

Calculator

Property to Calculate:

Static pressure before the shock (p₁):

Static pressure after the shock (p₂):

Mach Number (M):

Ratio of Specific Heats (γ):

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.