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A note on the effects of viscosity on the stability of a trailing-line vortex

Published online by Cambridge University Press:  26 April 2006

Peter W. Duck  and
Mehdi R. Khorrami
Peter W. Duck
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL, UK
Mehdi R. Khorrami
Affiliation:
High Technology Corporation, 28 Research Drive, Hampton, VA 23666, USA
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Abstract

The linear stability of the Batchelor (1964) vortex is investigated. Particular emphasis is placed on modes found recently in a numerical study by Khorrami (1991). These modes have a number of features very distinct from those found previously for this vortex, including (i) exhibiting small growth rates at large Reynolds numbers and (ii) susceptibility to destabilization by viscosity. In this paper these modes are described using asymptotic techniques, producing results which compare very favourably with fully numerical results at large Reynolds numbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 245 , December 1992 , pp. 175 - 189
Copyright
© 1992 Cambridge University Press

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