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The effect of viscosity on the stability of planar vortices with fine structure


Hall, IM and Bassom, A and Gilbert, AD, The effect of viscosity on the stability of planar vortices with fine structure, Quarterly Journal of Mechanics and Applied Mathematics, 56, (4) pp. 649-657. ISSN 0033-5614 (2003) [Refereed Article]

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Copyright Oxford University Press 2003; all rights reserved.

DOI: doi:10.1093/qjmam/56.4.649


We 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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, A (Professor Andrew Bassom)
ID Code:107373
Year Published:2003
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08

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