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Oblique Shock

Solve weak and strong branches from M1 and turning angle or shock 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
compressibleshocktheta-beta-M
formula
KaTeX rendered
tan(theta) = 2 cot(beta) (M1ˆ2 sinˆ2(beta) - 1) / [M1ˆ2 (gamma + cos(2 beta)) + 2]\begin{aligned}\text{tan(theta) = 2 cot(beta) (M1\^{}2 sin\^{}2(beta) - 1) / [M1\^{}2 (gamma + cos(2 beta)) + 2]}\end{aligned}
ASCII sourcetan(theta) = 2 cot(beta) (M1^2 sin^2(beta) - 1) / [M1^2 (gamma + cos(2 beta)) + 2]

θmax for current M1, γ: 29.797426 deg

M22.002235
θ (deg)12.000000
β (deg)33.801585
M1n1.390797
M2n0.743617
p2/p12.090034
ρ2/ρ11.673689
T2/T11.248759
p02/p010.960459