A coaxial vortex ring model for vortex breakdown

Denis Blackmore, Morten Brøns, Arnaud Goullet

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

A simple-yet plausible-model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of an ideal fluid rotating around the axis of symmetry of the rings. It is shown that this model exhibits in the advection of passive fluid particles (kinematics) just about all of the characteristics that have been observed in what is now a substantial body of published research on the phenomenon of vortex breakdown. Moreover, it is demonstrated how the very nature of the fluid dynamics in axisymmetric breakdown flows can be predicted and controlled by the choice of the initial ring configurations and their vortex strengths. The dynamic intricacies produced by the two ring + swirl model are illustrated with several numerical experiments.

Original languageEnglish (US)
Pages (from-to)2817-2844
Number of pages28
JournalPhysica D: Nonlinear Phenomena
Volume237
Issue number22
DOIs
StatePublished - Nov 15 2008

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

Keywords

  • Advection
  • Chaos
  • Melnikov functions
  • Poincaré maps
  • Shilnikov chaos
  • Swirl
  • Vortex ring dynamics and kinematics

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