Is circulation real?

Discussion in 'Hydrodynamics and Aerodynamics' started by Mikko Brummer, Jan 25, 2013.


  1. Sailor Al
    Joined: Feb 2021
    Posts: 693
    Likes: 30, Points: 28
    Location: Sydney

    Sailor Al Senior Member

    No, I don't have any requirement for any type of circulation.
    It was Kelvin who defined circulation as the integral of a vector field around a closed path that moves with the fluid. With that in mind, he developed the theory of circulation that
    identified a physical law that the circulation of an ideal fluid subject only to conservative forces was conserved over time.
    It was the aerodynamicists since Prandtl who have mis-applied Kelvin's principle to a circulation around a path that moved with the wing.
    I quote from Prandtl's 1922 paper to NACA where, in Part II , on p 181 with reference to fig 32. (below),
    upload_2025-1-5_15-47-41.png
    he states :
    upload_2025-1-5_15-48-52.png
    By drawing the circulation line surrounding the wing, he is clearly using a concept of circulation around the wing. However, by using Kelvin's theorem of conservation of circulation, he is clearly referring to Kelvin's definition of circulation as the integral around a path pinned to the flow.
     
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