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Prandtl-Meyer Expansion

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Compute centered expansion-fan turning for inviscid supersonic flow using the Prandtl-Meyer function.

M
deg
γ
Downstream Mach
2.385
from M1 2.00
Expansion turn
10.00°
centered fan
ν(M1)
26.380°
μ1 30.00°
ν(M2)
36.380°
μ2 24.79°

Expansion fan geometry

Turning through the fan increases ν(M), accelerates the flow, and narrows the Mach angle.

M₂ 2.385

θM₁ 2.00M₂ 2.38

Expansion turn θ

10.00°

flow turn at the convex corner

ν₁

26.38°

upstream Prandtl-Meyer angle

ν₂

36.38°

downstream Prandtl-Meyer angle

μ₁

30.00°

upstream Mach angle

μ₂

24.79°

downstream Mach angle

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