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The stability of a layer of binary gas mixture heated below

Published online by Cambridge University Press:  29 March 2006

M. L. Lawson  and
Wen-Jei Yang
M. L. Lawson
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor Present address: Cummin Engine Company, Columbus, Indiana.
Wen-Jei Yang
Affiliation:
Department of Mechanical Engineering, University of Michigan, Ann Arbor
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Abstract

This paper investigates the Bénard problem in a binary mixture of dilute gases in which an imposed vertical temperature gradient induces a concentration gradient owing to the thermal diffusion effect. The transfer equations are derived by first-order perturbation theory which leads to instability criteria. Numerical results indicate that instability will set in only as stationary convection. This is distinctly different from the cases of liquids and concentrated gases, in which the thermal diffusion (or Soret) effect gives rise to oscillatory instability. It is disclosed in the study that the destabilization of the dilute gas-mixture layer is enhanced by an increase in the thermal diffusion ratio and/or the molecular weight ratio of the species.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 103 - 110
Copyright
© 1973 Cambridge University Press

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