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Mixed convection over a cooled horizontal plate: non-uniqueness and numerical instabilities of the boundary-layer equations

Published online by Cambridge University Press:  26 April 2006

Herbert Steinrück
Herbert Steinrück
Affiliation:
Institut für Strömungslehre und Wärmeübertragung, TU-Wien, Wiedner Hauptstr. 7, 1040 Wien, Austria
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Abstract

The boundary-layer flow over a cooled horizontal plate is considered. It is shown that the real part of the spectrum of the evolution operator of the linearized equations is not bounded uniformly from above which explains the difficulties encounterd by a numerical solution. Furthermore it is shown that near the leading edge an asymptotic expansion of the solution is not unique. A one-parametric family of asymptotic expansions of solutions can be constructed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 278 , 10 November 1994 , pp. 251 - 265
Copyright
© 1994 Cambridge University Press

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