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After the cosine transformation, the vortex sheet strength in thin airfoil theory is written as

  • A.An exponential decay from leading to trailing edge
  • B.A cotangent term plus a Fourier sine series
  • C.A simple polynomial in the transformed variable
  • D.A single cosine term of unknown amplitude

Answer: B

The strength is written as a leading term carrying a cotangent of half the angle, which supplies the correct inverse-square-root singularity at the leading edge, plus a sine series whose terms all vanish at the trailing edge. The form therefore satisfies the Kutta condition automatically whatever the coefficients turn out to be.

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