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The Velocity of Viscous Vortex Rings

  • P. G. Saffman

Abstract

The motion of vortex rings of small cross section is considered. A formula is given for the velocity of a ring in an ideal fluid with an arbitrary distribution of vorticity in the core and an arbitrary circumferential velocity. A definition of velocity is given for the unsteady diffusing ring in a viscous fluid, and the speed is found by the method used for rings in ideal fluids.

Keywords

Diffusion Equation Vortex Ring Viscous Fluid Tangential Velocity Ideal Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Lamb, H., (1932), Hydrodynamics, Cambridge University PressGoogle Scholar
  2. Saffman, P. G., (1970), Studies in App. Math. 49, 371.MATHGoogle Scholar
  3. Tung, C. and Ting, L., (1967), Phys. Fluids, 10, 901.CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1971

Authors and Affiliations

  • P. G. Saffman
    • 1
  1. 1.California Institute of TechnologyUSA

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