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The lift coefficient of a flat plate in supersonic flow, by linearised theory, is

  • A.Zero at all incidences
  • B.Four alpha over the root of Mach squared minus one
  • C.Two pi times the incidence
  • D.Independent of the Mach number

Answer: B

The Ackeret result replaces the two pi alpha of subsonic thin-airfoil theory. The slope now falls as the Mach number rises, which is the opposite of the subsonic Prandtl-Glauert behaviour, and it is one reason supersonic aircraft need large wings or high incidence to manoeuvre.

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