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Isentropic Flow

Convert between Mach, p/p0, T/T0, A/A*, and Prandtl-Meyer angle.

shock
visual calculatorCompressible Flow

Read the flow shape before trusting the number.

This page turns a CFD setup into regime, scale, and dominant-effect cues. Adjust the calculator below and compare the moving graphic with the computed result.

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input scale
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model
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check
compressibleisentropicnozzlePrandtl-Meyer
formula
KaTeX rendered
A/A* = (1/M) [2/(gamma+1) (1 + (gamma-1) Mˆ2 / 2)]ˆ((gamma+1)/(2(gamma-1)))\begin{aligned}\text{A/A* = (1/M) [2/(gamma+1) (1 + (gamma-1) M\^{}2 / 2)]\^{}((gamma+1)/(2(gamma-1)))}\end{aligned}
ASCII sourceA/A* = (1/M) [2/(gamma+1) (1 + (gamma-1) M^2 / 2)]^((gamma+1)/(2(gamma-1)))
M2.000000
μ (Mach angle, deg)30.000000
ν (P-M angle, deg)26.379761
p/p00.127805
ρ/ρ00.230048
T/T00.555556
p/p*0.241925
ρ/ρ*0.362887
T/T*0.666667
A/A*1.687500