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The Mach number of a flow is defined as the ratio of

  • A.The stagnation pressure to the static pressure
  • B.The local flow speed to the local speed of sound
  • C.The local flow speed to the free-stream speed
  • D.The local speed of sound to the free-stream speed of sound

Answer: B

Mach number compares the local flow speed with the local speed of sound, both evaluated at the same point. Because the speed of sound falls as the gas cools, the Mach number can change along a streamline even where the speed is constant, which is why it must always be treated as a local quantity.

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