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Which quantity does NOT saturate as the upstream Mach number of a normal shock grows without bound?

  • A.The ratio of downstream to upstream velocity
  • B.The static pressure ratio
  • C.The density ratio
  • D.The downstream Mach number

Answer: B

The pressure ratio, like the temperature ratio, grows without limit as the shock strengthens. The density ratio saturates at six for air, the downstream Mach number approaches 0.378, and the velocity ratio approaches one sixth, the reciprocal of the limiting density ratio.

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