proof lamb-chaplygin dipole

Discussion in 'Hydrodynamics and Aerodynamics' started by gerar, Feb 1, 2013.

  1. gerar
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    gerar Junior Member

  2. hoytedow
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    hoytedow Carbon Based Life Form

    Is this a viral attack?
     
  3. rwatson
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    rwatson Senior Member

    Blimey - there IS a lamb-chaplygin dipole !!!!

    Now, if only I can only figure out how it works.
     
  4. hoytedow
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    hoytedow Carbon Based Life Form

  5. Jenny Giles
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    Jenny Giles Perpetual Student

    Professor Drela might be able to help. I think he uses something similar to these singularities in his vortex lattice method to prevent problems. Something something Hadamard singularities also rings a distant bell.
     
  6. Leo Lazauskas
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    Leo Lazauskas Senior Member

    Lamb vortices (or others with finite cores) can be used to avoid certain
    difficulties when VLM is used on swept or curved wings. Tuck refers to these as
    "Hadamard singularities", however, they are far more general than what arises
    out of VLM. Tuck avoids them in his wing theory by integrating the lifting
    surface equation once in the x-direction, and then using an antiderivative.
     
  7. gerar
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    gerar Junior Member

    thank you all, I read this: http://josvg.home.xs4all.nl/VDG/lamb-dip.html, that's why I searched the solution for the lamb-chaplygin dipole.
    so I think that the solution is found in the two links I posted.
    can someone tell me please the pages that the solution is found?
    thanks!
     
  8. Leo Lazauskas
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    Leo Lazauskas Senior Member

    I haven't had time to go through the whole JFM paper in detail, but there is a hint that the proofs devised by Chaplygin could be very long:
    "After tremendous transformations occupying several printed pages..."

    Have you tried to get hold of the original (Russian) papers?

    Good luck with your quest!
    Leo.
     

  9. Submarine Tom

    Submarine Tom Previous Member

    I would have thought baeckmo to be all over this too.
     
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