On the stability of vortex rings

@article{Widnall1973OnTS,
  title={On the stability of vortex rings},
  author={Sheila Evans Widnall and John P. Sullivan},
  journal={Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences},
  year={1973},
  volume={332},
  pages={335 - 353}
}
  • S. Widnall, J. Sullivan
  • Published 27 March 1973
  • Physics, Environmental Science
  • Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
The stability of vortex rings is investigated both theoretically and experimentally. The theoretical analysis considers the stability of the vortex-filament ring of small but finite core size in an inviscid fluid to small sinusoidal displacements of its centreline. The effect of the vorticity distribution within the finite vortex core on the self-induced motion of each element of the vortex filament is calculated on the basis of the results presented previously by Widnall, Bliss & Zalay (1970… 

The instability of the thin vortex ring of constant vorticity

  • S. WidnallChon-yin Tsai
  • Physics, Environmental Science
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
  • 1977
A theoretical investigation of the instability of a vortex ring to short azimuthal bending waves is presented. The theory considers only the stability of a thin vortex ring with a core of constant

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