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An inviscid model for the vortex-street wake

Published online by Cambridge University Press:  20 April 2006

P. G. Saffman  and
J. C. Schatzman
P. G. Saffman
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, California 91125
J. C. Schatzman
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, California 91125
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Abstract

An inviscid model for the Karman vortex street, containing vortices of uniform vorticity surrounded by irrotational fluid, is related to the wake behind a bluff body by a global analysis requiring the conservation of momentum, energy and vorticity. Some comparison is made with experimental results reported in the literature. A qualitative procedure is proposed whereby the slow evolution of the wake through viscous effects is approximated. Some comments are made regarding the relevance of the stability properties of the inviscid street. Some calculations are made for the ‘secondary vortex street’ that is observed after breakdown and rearrangement, and comparison is made with experiment.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 467 - 486
Copyright
© 1982 Cambridge University Press

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