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As the upstream Mach number of a normal shock tends to infinity, the density ratio across it approaches

  • A.Two
  • B.Six, for a gas with a specific heat ratio of 1.4
  • C.Infinity
  • D.Unity

Answer: B

The limiting density ratio is the specific heat ratio plus one over the specific heat ratio minus one, which is 2.4 over 0.4, that is six. Density cannot be compressed without limit however strong the shock, whereas the pressure and temperature ratios do grow without bound. Real gas effects raise the limit somewhat at hypersonic speeds.

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