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Consider the following statements about the theta-beta-Mach relation:

1. For deflections below the maximum it gives two solutions.

2. The weak solution is the one usually observed.

3. The strong solution always leaves the flow supersonic.

Which of the statements given above is or are correct?

  • A.1 and 3 only
  • B.2 and 3 only
  • C.1, 2 and 3
  • D.1 and 2 only

Answer: D

The first two are correct. The third reverses the position: it is the weak solution that usually leaves the flow supersonic, while the strong solution takes it subsonic. The strong branch appears only when a downstream back pressure forces it.

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