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The incorrect statement regarding Helmholtz theorems is____(a) Valid for all inviscid flows(b) Γ remains constant along vortex filament(c) Describes vortex behavior(d) Vortex filament forms a closed loop or extends till the boundaries of the fluidThe question was posed to me in an internship interview.My question is based upon The Vortex Filament, the Biot-Savart Law, Helmholtz Theorem topic in section Flow over Airfoils over Finite Wing of Aerodynamics

Answer»

Correct option is (a) Valid for all inviscid FLOWS

To explain I would say: The Helmholtz THEOREMS are valid for inviscid, incompressible flows and describe the vortex behavior. ACCORDING to these theorems, the strength of vortex filament is constant along its length and a vortex filament cannot end in a fluid. According to the latter one, the filament must form a CLOSED loop or extend TILL the boundaries of the fluid.



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