Rankine-Hugoniot Shock Pressure Relation Calculator

Calculate Downstream Shock Pressure (P₂)

The pressure before the shock wave.
The Mach number of the flow before the shock wave (must be > 1).
Also known as the adiabatic index (e.g., 1.4 for diatomic gases like air, 1.66 for monatomic gases).

Calculation Results

Downstream Pressure (P₂):

Unlock the secrets of compressible flow with our online Rankine-Hugoniot Shock Pressure Calculator. This essential tool helps engineers, physicists, and students quickly determine the downstream pressure across a normal shock wave based on upstream conditions and the specific heat ratio. Perfect for aerodynamics, gas dynamics, and advanced fluid mechanics problems.

Formula:

The Rankine-Hugoniot relation for the pressure ratio across a normal shock wave is given by:

P2 = P1 × ((2γM12 - (γ - 1)) / (γ + 1))

  • P2: Downstream Pressure (Output)
  • P1: Upstream Pressure (Input, e.g., Pa, psi)
  • M1: Upstream Mach Number (Input, dimensionless)
  • γ: Ratio of Specific Heats (Adiabatic Index, Input, dimensionless)

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