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Which theorem gives the velocity induced at a point by an element of a vortex filament?

  • A.The Kutta-Joukowski theorem
  • B.Stokes' theorem
  • C.The Biot-Savart law
  • D.Bernoulli's equation

Answer: C

The Biot-Savart law relates the velocity induced at a point to the strength of a vortex filament element and its position relative to that point, in exact analogy with the magnetic field of a current element. Lifting-line theory uses it to compute the downwash produced at the lifting line by the trailing sheet.

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