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LoginMathematically, 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 = 0
The 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
Aerodynamics Incompressible Flow over Airfoils in Aerodynamics 3 years ago
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.
Posted on 02 Dec 2021, this text provides information on Aerodynamics related to Incompressible Flow over Airfoils in Aerodynamics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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