Overstability of a viscoelastic fluid layer heated from below

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...

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Bibliographic Details
Published in:Journal of fluid mechanics 1969-05, Vol.36 (3), p.613-623
Main Authors: Vest, Charles M., Arpaci, Vedat S.
Format: Article
Language:English
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Summary: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.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112069001881