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Assertion (A): An airfoil in inviscid flow experiences no drag.

Reason (R): Pressure recovered over the rear of the section exactly balances that at the front.

Select the correct answer from the options below.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason is the explanation - this is d’Alembert’s paradox. With no viscosity there is no boundary layer, so the flow follows the surface all the way round and the pressure recovered over the rear exactly balances that acting on the front, leaving zero net force along the flow. Real drag exists only because viscosity spoils that recovery.

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