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Prandtl-Meyer Expansion

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deg

Centered expansion fan

M 2.00 to 2.385

The existing corner-flow view preserves the characteristic fan and upstream/downstream Mach angles.

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

Downstream Mach number

2.385

From M1 2.00

Expansion turn

10.00 deg

Centered fan

Upstream Prandtl-Meyer angle

26.380 deg

Mach angle 30.00 deg

Downstream Prandtl-Meyer angle

36.380 deg

Mach angle 24.79 deg

Open Source and Easy to Use Elsewhere

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Open source: review the implementation and see how the results are produced.

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