Baroclinic generation of vorticity by an axisymmetric vortex in a linearly stratified fluid; in the passive limit

S. T. Thoroddsen*, C. W. Van Atta

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We evaluate analytically the baroclinically generated vorticity that is produced by a stationary axisymmetric vortex that overturns a fluid having an initial linear mean density profile. The instantaneous net production of vorticity due to a point vortex is shown to be proportional to the buoyancy time Nt, where N is the Brunt-Väisälä frequency. These results are valid only for the nondiffusive, passive limit, where the baroclinically produced vorticity is negligible and does not alter the velocity field. Corresponding results for the Taylor vortex show maximum production of vorticity away from the center but zero net production. The Oseen vortex behaves more like the point vortex. These differences appear related to the total circulation of these vortices.

Original languageEnglish (US)
Pages (from-to)2774-2776
Number of pages3
JournalPhysics of Fluids
Volume8
Issue number10
DOIs
StatePublished - Oct 1996

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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