Mathematically, what is meant by Kelvin’s Circulation Theorem for an inviscid and incompressible flow? (For the same set of fluid elements moving in a closed curve along with the fluid).(a) DΓ/Dt = 0(b) γ1 ≥ Γ2, where 1 is the upstream direction(c) Γ = -∮C1V.ds(d) Γ = 0The question was asked in homework.The query is from Kelvin’s Circulation Theorem and the Starting Vortex in section Incompressible Flow over Airfoils of Aerodynamics

Mathematically, what is meant by Kelvin’s Circulation Theorem for an

1.	Mathematically, what is meant by Kelvin’s Circulation Theorem for an inviscid and incompressible flow? (For the same set of fluid elements moving in a closed curve along with the fluid).(a) DΓ/Dt = 0(b) γ1 ≥ Γ2, where 1 is the upstream direction(c) Γ = -∮C1V.ds(d) Γ = 0The question was asked in homework.The query is from Kelvin’s Circulation Theorem and the Starting Vortex in section Incompressible Flow over Airfoils of Aerodynamics
Answer» CORRECT ANSWER is (a) DΓ/Dt = 0 To explain: Kelvin’s theorem states that the time rate of change of circulation for a SET of fluid elements in a closed curve moving along the fluid is zero. In other WORDS, circulation remains CONSTANT, not zero. Γ = -∮C1V.ds is the definition of circulation.

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