How to Use Isentropic Flow Calculator
- Enter Mach number M — Local Mach number.
- Enter γ — Specific heat ratio (1.4 for air).
- Read the ratios — T/T₀, P/P₀, ρ/ρ₀, and A/A* appear side by side.
Formula & Theory - Isentropic Flow Calculator
Let f = 1 + ((γ − 1)/2) · M²
T / T₀ = 1 / f
P / P₀ = f^(−γ/(γ−1))
ρ / ρ₀ = f^(−1/(γ−1))
A / A* = (1/M) · [ (2/(γ+1)) · f ]^((γ+1)/(2(γ−1)))| Symbol | Meaning |
|---|---|
| M | Local Mach number |
| γ | Specific heat ratio Cp / Cv |
| Subscript 0 | Stagnation (total) condition |
| A* | Area where M = 1 |
Assumptions and Limits
- Steady, adiabatic, frictionless, one-dimensional flow of an ideal gas with constant γ.
- For real gas effects or large temperature ranges, use a property database.
Use Cases for Isentropic Flow Calculator
- Nozzle design — Predict pressure/temperature distribution.
- Wind tunnel calibration — Convert measured M to stagnation ratios.
- Aerospace homework — Compressible flow problem sets.
The Isentropic Flow Calculator packages the four classical ratios in one fast tool.