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Three-dimensional stability of an elliptical vortex in a straining field

Robinson, A. C. and Saffman, P. G. (1984) Three-dimensional stability of an elliptical vortex in a straining field. Journal of Fluid Mechanics, 142 . pp. 451-466. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20120709-075535108

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Abstract

The three-dimensional linear stability of a rectilinear vortex of elliptical cross-section existing as a steady state in an irrotational straining field is studied numerically in the case of finite strain. It is shown that the instability predicted analytically for weak strain persists for finite strain and that the weak-strain results continue to be quantitatively valid for finite strain. The dependence of the growth rates of the unstable modes on the strain and the axial-disturbance wavelength is discussed. It is also shown that a three-dimensional instability is always more unstable than a two-dimensional instability in the range of parameters of most interest.


Item Type:Article
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http://dx.doi.org/10.1017/S002211208400118XDOIUNSPECIFIED
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=377162&fulltextType=RA&fileId=S002211208400118XPublisherUNSPECIFIED
Additional Information:© 1984 Cambridge University Press. Received 8 September 1983 and in revised form 30 January 1984. Published online: 20 April 2006. This work was supported by NASA Lewis Research Center (NAG 3-179) and the Office of Naval Research.
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Funding AgencyGrant Number
NASA Lewis Research CenterNAG3-179
Office of Naval Research (ONR)UNSPECIFIED
Record Number:CaltechAUTHORS:20120709-075535108
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120709-075535108
Official Citation: A. C. Robinson and P. G. Saffman (1984). Three-dimensional stability of an elliptical vortex in a straining field. Journal of Fluid Mechanics, 142 , pp 451-466 doi:10.1017/S002211208400118X
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:32293
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:09 Jul 2012 18:25
Last Modified:26 Dec 2012 15:28

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