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Is Helmholtz’s theorems apply to inviscid flows?

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Is Helmholtz’s theorems apply to inviscid flows?

(a) True

(b) False

I got this question in an interview for internship.

Query is from The Vortex Filament, Biot-Savart Law, Helmholtz Theorem in portion Flow over Airfoils over Finite Wing of Aerodynamics

1 Answer

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Correct option is (a) True

For explanation: Helmholtz’s theorems apply to inviscid flows, in observation of vortices in real fluid the strength of the vortices always decays gradually due to the dissipative effect of viscous forces. Thus, it only applied to inviscid flows.

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