In 1D Rayleigh flow (constant area duct with heat exchange), the maximum static temperature point on the T-s curve occurs at:

(A) M = 1 / \sqrt{\gamma} (which is subsonic for \gamma = 1.4, M ≈ 0.845)

(B) M = 1.0

(C) M = \sqrt{\gamma}

(D) M = \infty

Answer Key:

A

### Solution: On the Rayleigh line in the T-s plane, entropy reaches a maximum at M = 1.0, but static temperature reaches its maximum at M = 1/\sqrt{\gamma} ≈ 0.845 for air. Correct: A.

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