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Discussion

For a given upstream Mach number and deflection angle, the theta-beta-Mach relation generally gives

  • A.Two shock angles, called the weak and strong solutions
  • B.Exactly one shock angle
  • C.Three shock angles
  • D.No solution at all

Answer: A

Below the maximum deflection there are two mathematically valid shock angles for each deflection. The weak solution, with the smaller angle, is the one nature almost always selects and it usually leaves the flow supersonic. The strong solution appears only when a high downstream back pressure imposes it.

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