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Consider the following statements about the assumptions behind the isentropic relations:

1. The flow is adiabatic.

2. The flow is reversible, so no shocks or friction are present.

3. The gas is perfect, with constant specific heats.

Which of the statements given above is or are correct?

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

Answer: B

All three are required. Dropping the adiabatic condition or admitting irreversibility breaks the constant-entropy assumption, and allowing the specific heats to vary, as they do at high temperature, changes the exponents in the relations themselves. Real-gas effects at hypersonic speeds break exactly this last assumption.

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