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Oblique Shock

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Solve the attached oblique shock over a wedge from upstream Mach number, flow deflection, and gas heat capacity ratio.

M₁
deg
γ

The weak branch is the usual external-flow solution; the strong branch creates a larger pressure jump and often subsonic downstream flow.

Downstream Mach M₂

1.640

supersonic downstream

Pressure ratio p₂/p₁

1.7070

static pressure rise

Temperature ratio T₂/T₁

1.1702

static temperature rise

Density ratio ρ₂/ρ₁

1.4587

flow compression

Total pressure p₀₂/p₀₁

0.98462

irreversible loss

Maximum θ

22.97°

attached-shock limit

Attached shock geometry

Flow turns across the wedge and compresses behind the shock.

weak solution

M₁ 2.00M₂ 1.64

β wave angle

39.32°

shock inclination

θ flow deflection

10.00°

wedge turn

μ Mach angle

30.00°

upstream limit

θmax attached

22.97°

detachment threshold

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