Discussion
A flow is expanded from \( M = 2 \) to \( M = 3 \). The trailing Mach line of the fan lies at what angle to the downstream flow direction?
Answer: C
The trailing characteristic sits at the downstream Mach angle, \( \arcsin(1/3) = 19.47 \) degrees, measured from the downstream flow direction. Because this is smaller than the leading angle of 30 degrees, the fan opens out, which is the geometric signature of an expansion.
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