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Shock-expansion theory computes the forces on a supersonic aerofoil by

  • A.Oblique shocks at compressions, fans at expansions
  • B.Assuming the flow is incompressible over the whole section
  • C.Using thin airfoil theory with a compressibility correction
  • D.Solving the full Navier-Stokes equations

Answer: A

For a sharp-edged section in supersonic flow, each surface consists of compression turns, handled with oblique shock relations, and expansion turns, handled with the Prandtl-Meyer function. Working around the section from the leading edge gives the pressure on every face, and hence lift and wave drag, exactly within the inviscid model.

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