Waves on a columnar vortex in a strongly stratified fluid
Phys. Fluids 21, 106602 (2009); doi:10.1063/1.3248366
Published 12 October 2009
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This paper investigates the discrete bounded waves sustained by a vertical columnar Rankine vortex in a strongly stratified fluid. We show that these waves are very different from their well-known counterpart in homogeneous fluid (Kelvin vortex waves); they exist only for nonzero azimuthal wavenumber m, their frequency lies in the interval [0,m
] (
is the angular velocity in the vortex core) and they are unstable because of an outward radiation from the vortex. The instability mechanism is explained in terms of an over-reflection phenomenon by means of a Wentzel–Kramers–Brillouin–Jeffreys analysis for large axial wavenumber.
©2009 American Institute of Physics
] (
is the angular velocity in the vortex core) and they are unstable because of an outward radiation from the vortex. The instability mechanism is explained in terms of an over-reflection phenomenon by means of a Wentzel–Kramers–Brillouin–Jeffreys analysis for large axial wavenumber.
©2009 American Institute of Physics
| History: | Received 27 March 2009; accepted 21 September 2009; published 12 October 2009 |
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http://link.aip.org/link/?PHFLE6/21/106602/1 |
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