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Stability of a vortex street of finite vortices

Saffman, P. G. and Schatzman, J. C. (1982) Stability of a vortex street of finite vortices. Journal of Fluid Mechanics, 117 . pp. 171-185. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:SAFjfm82a

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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.


Item Type:Article
Additional Information:Copyright © 1982 Cambridge University Press. Reprinted with permission. (Received 2 April 1981 and in revised form 1 September 1981) This work was supported by the Department of Energy (Office of Basic Energy Sciences). We acknowledge with gratitude the granting of time by Control Data Corporation on the CYBER 203 computer at the C.D.C. Service Center, Arden Hills, Minnesota, where much of the more difficult computing was carried out.
Record Number:CaltechAUTHORS:SAFjfm82a
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SAFjfm82a
Alternative URL:http://dx.doi.org/10.1017/S0022112082001578
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10124
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:14 Apr 2008
Last Modified:26 Dec 2012 09:57

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