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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. doi:10.1017/S0022112082001578.

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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.

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Additional Information:© 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.
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ID Code:10124
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Deposited On:14 Apr 2008
Last Modified:08 Nov 2021 21:05

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