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Thermal instability of two-dimensional stagnation-point boundary layers

Published online by Cambridge University Press:  20 April 2006

K. Chen ,
M. M. Chen  and
C. W. Sohn
K. Chen
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois 61801 Present address: Department of Mechanical and Industrial Engineering, University of Utah, Salt Lake City, Utah 84112.
M. M. Chen
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois 61801
C. W. Sohn
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, Illinois 61801 Present address: Construction Engineering Research Laboratory, U. S. Army Corps of Engineers, Champaign, Illinois 61820.
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Abstract

A study of thermal instability for the two-dimensional stagnation flow for Prandtl numbers ranging from 0.7 to infinity is presented. The analysis represents an exact solution since neither the boundary-layer approximation nor the parallel-flow assumption was invoked. Of particular interest is that the critical Rayleigh number and the critical wavenumber, when defined on the basis of the thermal boundary-layer lengthscale, are found to be relatively insensitive to the Prandtl number for the range of Prandtl numbers studied.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 132 , July 1983 , pp. 49 - 63
Copyright
© 1983 Cambridge University Press

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