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The effect of viscosity on the stability of planar vortices with fine structure
journal contribution
posted on 2023-05-18, 17:48 authored by Hall, IM, Andrew BassomAndrew Bassom, Gilbert, ADWe examine the viscous response of sharp-edged vortices surrounded by fine structure. Such compact vortices admit normal mode solutions, and when weak vorticity is superimposed around the edge of the vortex a quasi-mode appears. A critical layer is formed at the location at which the angular velocity of the fluid matches the frequency of the normal mode. Fine-scale vorticity within this layer, combined with the presence of viscosity, can affect the stability of the quasi-mode in a number of ways. Here we discuss briefly one situation for which viscosity can have a destabilizing effect.
History
Publication title
Quarterly Journal of Mechanics and Applied MathematicsVolume
56Issue
4Pagination
649-657ISSN
0033-5614Department/School
School of Natural SciencesPublisher
Oxford Univ PressPlace of publication
Oxford, EnglandRights statement
Copyright Oxford University Press 2003; all rights reserved.Repository Status
- Restricted