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In Biot-Savart law, the circulation taken about any path enclosing the vortex filament is____(a) Constant(b) Depends on the local strength(c) Zero(d) Path-dependentThis question was addressed to me in an online interview.My question comes from The Vortex Filament, the Biot-Savart Law, Helmholtz Theorem topic in chapter Flow over Airfoils over Finite Wing of Aerodynamics

Answer»

The correct choice is (a) CONSTANT

To explain I WOULD say: The circulation taken about any path enclosing the vortex FILAMENT is a constant. This is true for a straight as well as CURVED filament. (Kelvin’s circulation THEOREM).



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