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

S. T. Thoroddsen; C. W. Van Atta

doi:10.1063/1.869061

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 journal › Article › peer-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 language	English (US)
Pages (from-to)	2774-2776
Number of pages	3
Journal	Physics of Fluids
Volume	8
Issue number	10
DOIs	https://doi.org/10.1063/1.869061
State	Published - Oct 1996
Externally published	Yes

ASJC Scopus subject areas

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

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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-V{\"a}is{\"a}l{\"a} 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.",

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year = "1996",

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doi = "10.1063/1.869061",

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AU - Thoroddsen, S. T.

AU - Van Atta, C. W.

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Y1 - 1996/10

N2 - 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.

AB - 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.

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ER -

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

Abstract

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