Effect of stretching on vortices with axial flow

  • Maurice Rossi
  • Ivan Delbende
  • Stéphane Le Dizès 
Conference paper
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 71)


It is shown that a weak time-dependent stretching might rapidly destabilise a vortex, thus providing a mechanism for vortex bursts observed in turbulent flows. This study addresses the three-dimensional stability of a stretched viscous Batchelor vortex. In a fashion quite similar to Lundgren’s transformation, the strain field is almost eliminated from the linear equations that govern three-dimensional perturbations. Such transformed equations, which are reminiscent of those for the swirling jet instability, are then numerically solved in the simple case of a compression phase followed by a stretching phase. Simulations qualitatively demonstrate how strain and azimuthal vorticity cooperate to destabilise the vortex.


Axial Flow Vortex Filament Swirl Number Rapid Distortion Theory Azimuthal Vorticity 
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.


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Maurice Rossi
    • 1
  • Ivan Delbende
    • 2
  • Stéphane Le Dizès 
    • 3
  1. 1.LMM, Université Paris VIParis Cedex 05France
  2. 2.LIMSIOrsay CedexFrance
  3. 3.IRPHEMarseille Cedex 13France

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