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Linear stability of a non-symmetric, inviscid, Kármán street of small uniform vortices

Published online by Cambridge University Press:  21 April 2006

Javier Jiménez
Javier Jiménez
Affiliation:
IBM Scientific Centre, Paseo Castellana 4, 28046 Madrid, Spain
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Abstract

The classical point-vortex model for a Kármán vortex street is linearly stable only for a single, isolated, marginally stable, case. This property has been shown numerically to hold for streets formed by symmetric rows of uniform vortices of equal area. That result is extended here to the case in which the areas of the vortices in the two rows are not necessarily equal. The method used is an analytic perturbation valid when the vortex areas are small, and applied using an automatic symbolic manipulator.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 189 , April 1988 , pp. 337 - 348
Copyright
© 1988 Cambridge University Press

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