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THE FEUTEX TOOLKIT

Normal Shock Gas Relations

Calculate downstream Mach number and static property ratios across a normal shock.

Thermal workspace● Runs in your browser
01 Your input
02 Your result
View or copy raw result data
FormulaNormal-shock relations from mass, momentum and energy conservation.
Sources and model references

Worked example

Inputs

Upstream Mach number
2
Heat-capacity ratio
1.4

Expected results

Downstream Mach number
0.5773502692
Pressure ratio downstream/upstream
4.5
Density ratio downstream/upstream
2.666666667

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter every input in the labeled units; use measured or independently specified properties.
  2. Check the stated model assumptions before calculating.
  3. Interpret the output as a model estimate and verify it independently for the intended application.

Try this example

{
  "mach": 2,
  "gamma": 1.4
}

Accuracy and scope

Calorically perfect gas with a normal stationary shock; not oblique shock or high-temperature real-gas analysis. Educational engineering estimate only; not structural or safety certification, equipment selection, or operating recommendations.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.