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For a fixed upstream Mach number, increasing the wedge half-angle in supersonic flow

  • A.Decreases the shock angle steadily
  • B.Leaves the shock angle unchanged
  • C.Immediately detaches the shock
  • D.Increases the shock angle until detachment occurs

Answer: D

A larger deflection needs a stronger shock, and on the weak branch that means a larger shock angle. The angle grows until the maximum deflection for that Mach number is reached, and any further increase in wedge angle detaches the shock, which then stands off ahead of the leading edge.

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