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Overstability of a viscoelastic fluid layer heated from below

Published online by Cambridge University Press:  29 March 2006

Charles M. Vest  and
Vedat S. Arpaci
Charles M. Vest
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
Vedat S. Arpaci
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
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Abstract

The stability of a horizontal layer of Maxwellian fluid heated from below is considered. Critical Rayleigh numbers, wave-numbers, and frequencies for overstability are determined for both free and rigid boundaries. Elasticity is found to destabilize the fluid, and the presence of rigid boundaries is found to be slightly stabilizing.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 3 , 1 May 1969 , pp. 613 - 623
Copyright
© 1969 Cambridge University Press

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