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The point of maximum entropy on a Fanno-curve in a Temperature-Entropy (T-s) diagram represents the

  • A.maximum flow Mach number
  • B.minimum flow Mach number
  • C.sonic Mach number
  • D.normal shock in the flow

Answer: C

The point of maximum entropy on the Fanno curve is the sonic state, M = 1.

Fanno flow is adiabatic flow with friction in a constant-area duct. Friction is irreversible, so entropy must rise along the duct. The Fanno curve has a subsonic upper branch and a supersonic lower branch, and friction drives both toward the point of maximum entropy, where the Mach number is 1 and the flow is choked.

It is not a maximum or minimum Mach number: subsonic flow accelerates toward 1 and supersonic flow decelerates toward 1. A normal shock joins a point on the supersonic branch to one on the subsonic branch with the same mass flux and stagnation enthalpy; it is not the maximum-entropy point.

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