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Inviscid instability of streamwise corner flow

Published online by Cambridge University Press:  26 April 2006

S. Balachandar  and
M. R. Malik
S. Balachandar
Affiliation:
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801, USA
M. R. Malik
Affiliation:
High Technology Corporation, 28 Research Drive, PO Box 7262, Hampton, VA 23666, USA
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Abstract

Linear stability of the incompressible flow along a streamwise corner is studied by solving the two-dimensional eigenvalue problem governed by partial differential equations. It is found that this fully three-dimensional flow is subject to inviscid instability due to the inflectional nature of the streamwise velocity profile. The higher growth rates for the inviscid instability mode, which is symmetric about the corner bisector, as compared to the viscous Tollmien-Schlichting instability operative away from the corner, is consistent with the experimental findings that the corner flow transitions to turbulence earlier than the two-dimensional Blasius flow away from the corner.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 282 , 10 January 1995 , pp. 187 - 201
Copyright
© 1995 Cambridge University Press

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