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Which of the following flows may NOT be treated with the isentropic relations?

  • A.Flow through a centred expansion fan
  • B.Acceleration of a stream along a streamline with no losses
  • C.Flow through a normal shock wave
  • D.Flow through a smoothly converging nozzle at moderate speed

Answer: C

A shock raises entropy, so the constant-entropy assumption fails through it and the Rankine-Hugoniot relations are needed instead. The other three are all isentropic to a good approximation, an expansion fan notably so because it is built from vanishingly weak Mach waves.

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