Skip to main content

Reconnections of elliptical vortex rings

  • Chapter
Science and Art Symposium 2000
  • 204 Accesses

Abstract

An attempt was made to produce a topological structure as predicted by Aref and Zawadzki via the reconnection of two elliptical vortex rings moving in the same direction and having a common axis. It is shown that such a reconnection is possible but so unstable that its realization is unrealistic under normal conditions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aref, H. & Zawadzki, L; Linking of vortex ring; Nature 354, 50–53, 1991, or Vortex interaction as a dynamical system. In New Approaches and Concepts in Turbulence, Eds. Dracos, T. & Tsinober, A., Birkhäuser Verl., 191-205, 1993.

    Article  ADS  Google Scholar 

  • Arnold, V.I. & Khesin, B.A.; Topological methods in hydrodynamics’; Ann. Rev. Fluid Mech. 24, 145–166, 1992.

    Article  MathSciNet  ADS  Google Scholar 

  • Christiansen, J.P.; Numerical simulation of hydrodynamics by the method of point vortices.; J. Comp. Phys. 13, 363–379, 1973.

    Article  ADS  MATH  Google Scholar 

  • Ricca, R.L. & Berger, M.A.; Topological ideas and fluid mechanics’; Phys. Today 28–34 Dec. 1996.

    Google Scholar 

  • Schatzle, R.S. An experimental study of fusion of vortex rings. Ph. D. thesis, CALTECH 1987.

    Google Scholar 

  • Tait, P.G.; Scientific papers, Cambridge Univ. Press 1, 1898.

    Google Scholar 

  • Tur, A.V. & Yanovski, V.V.; ‘Invariants in dissipationless hydrodynamic media’; J. Fluid Mech. 248, 67–106, 1993.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • Widnall, S.E. & Sullivan, J.P. On the stability of vortex rings. Proc. Roy. Soc. A 322, 335.

    Google Scholar 

  • Zawadzki, I. & Aref, H.; Numerical experiments on vortex ring interactions in the large.’ Private communication based on a non-submitted draft for the J. Fluid Mech., 1992 most of the content was published in Aref and Zawadzki 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Gyr, A., Müller, A. (2000). Reconnections of elliptical vortex rings. In: Gyr, A., Koumoutsakos, P.D., Burr, U. (eds) Science and Art Symposium 2000. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4177-2_33

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4177-2_33

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5819-3

  • Online ISBN: 978-94-011-4177-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics