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The linear inviscid secondary instability of longitudinal vortex structures in boundary layers

Published online by Cambridge University Press:  26 April 2006

Philip Hall  and
Nicola J. Horseman
Philip Hall
Affiliation:
Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Nicola J. Horseman
Affiliation:
Mathematics Department, Exeter University, North Park Road, Exeter EX4 4QE, UK
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Abstract

The inviscid instability of a longitudinal vortex structure within a steady boundary layer is investigated. The instability has wavelength comparable with the boundary-layer thickness so that a quasi-parallel approach to the instability problem can be justified. The generalization of the Rayleigh equation to such a flow is obtained and solved for the case when the vortex structure is induced by curvature. Two distinct modes of instability are found; these modes correspond with experimental observations on the breakdown process for Görtler vortices.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 232 , November 1991 , pp. 357 - 375
Copyright
© 1991 Cambridge University Press

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