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Nonlinear instability and break-up of separated flow

Published online by Cambridge University Press:  21 April 2006

S. N. Brown ,
H. K. Cheng  and
F. T. Smith
S. N. Brown
Affiliation:
Department of Mathematics, University College London. Gower Street, London WC1E 6BT, UK
H. K. Cheng
Affiliation:
Department of Aerospace Engineering, University of Southern California, Los Angeles, California, USA
F. T. Smith
Affiliation:
Department of Mathematics, University College London. Gower Street, London WC1E 6BT, UK
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Abstract

Unsteady effects in a separated recirculating eddy beneath a subsonic or supersonic mainstream are considered, with emphasis on nonlinear properties. The eddy is slender and predominantly inviscid, its length being comparable with, or less than, the chord of an airfoil, for instance. It is found, from the study of a family of integro-differential equations, that the planar eddy can break up nonlinearly within a finite time, causing an eruption into the main stream and setting up a subsequent Euler stage in the unsteady motion. Comparisons with recent experiments and further applications of the theory are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 193 , August 1988 , pp. 191 - 216
Copyright
© 1988 Cambridge University Press

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