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THE FEUTEX TOOLKIT

Isentropic Nozzle State Ratios

Calculate temperature, pressure, density and area ratios from Mach number.

Thermal workspace● Runs in your browser
01 Your input
02 Your result
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FormulaT/T0=[1+(γ−1)M²/2]⁻¹; isentropic pressure and area relations.
Sources and model references

Worked example

Inputs

Mach number
2
Heat-capacity ratio
1.4

Expected results

Static to total temperature
0.5555555556
Static to total pressure
0.1278045255
Area to sonic throat area
1.6875

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, one-dimensional reversible adiabatic flow; no shocks. 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.