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For a completely subsonic isentropic flow through a convergent nozzle, which of the following statement is TRUE?

  • A.Pressure at the nozzle exit \(\gt\) back pressure.
  • B.Pressure at the nozzle exit \(\lt\) back pressure.
  • C.Pressure at the nozzle exit = back pressure.
  • D.Pressure at the nozzle exit = total pressure.

Answer: C

For a completely subsonic flow, pressure at the nozzle exit = back pressure.

When the exit flow is subsonic, pressure disturbances travel upstream from the exit, so the jet adjusts until its static pressure matches the surroundings. A subsonic jet cannot sustain a pressure difference across its boundary.

An exit pressure above the back pressure happens only in a choked nozzle, where the exit is sonic and the flow cannot adjust further. An exit pressure below the back pressure cannot be sustained in a convergent nozzle. And the exit pressure equals the total pressure only when the gas is not moving at all.

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