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Normal Shock

Compute M2, pressure ratios, and total-pressure loss from upstream Mach number.

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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compressibleshocknormal shock
formula
KaTeX rendered
M2ˆ2 = [1 + (gamma-1) M1ˆ2 / 2] / [gamma M1ˆ2 - (gamma-1) / 2]\begin{aligned}\text{M2\^{}2 = [1 + (gamma-1) M1\^{}2 / 2] / [gamma M1\^{}2 - (gamma-1) / 2]}\end{aligned}
ASCII sourceM2^2 = [1 + (gamma-1) M1^2 / 2] / [gamma M1^2 - (gamma-1) / 2]
M12.000000
M20.577350
p2/p14.500000
ρ2/ρ12.666667
T2/T11.687500
p02/p010.720874
p1/p020.177291