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With increase in airfoil thickness, the critical Mach number for an airfoil is likely to

  • A.decrease.
  • B.increase.
  • C.remain unchanged.
  • D.be undefined.

Answer: A

The critical Mach number is likely to decrease.

The critical Mach number is the free-stream Mach number at which the flow somewhere on the airfoil first reaches the speed of sound. A thicker airfoil accelerates the flow more over its surface, so the peak local velocity is higher for the same free-stream speed and sonic flow appears at a lower free-stream Mach number.

That is why high-speed aircraft use thin airfoils: they raise the critical Mach number. An increase would need a thinner section, and thickness clearly affects the peak velocity, so 'unchanged' and 'undefined' are wrong.

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