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Stability of a vortex street of finite vortices

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, CA 91125, U.S.A.
J. C. Schatzman
Affiliation:
Applied Mathematics, California Institute of Technology, Pasadena, CA 91125, U.S.A.
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Abstract

The stability of the finite-area Kármán ‘vortex street’ to two-dimensional disturbances is determined. It is shown that for vortices of finite size there exists a finite range of spacing ratio κ for which the array is stable to infinitesimal disturbances. As the vortex size approaches zero, the range narrows to zero width about the classical von Kármán value of 0·281.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 117 , April 1982 , pp. 171 - 185
Copyright
© 1982 Cambridge University Press

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