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For a supersonic flow, an increase in duct area produces

  • A.A decrease in both velocity and pressure
  • B.An increase in velocity and a fall in pressure
  • C.A decrease in velocity and a rise in pressure
  • D.No change in velocity

Answer: B

Above Mach one the density falls faster than the velocity rises, so continuity demands that the area increase for the flow to accelerate further. This inversion is why a supersonic nozzle must diverge, and it is the single most counter-intuitive result in elementary compressible flow.

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