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Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid

Published online by Cambridge University Press:  29 March 2006

G. S. Charlson  and
R. L. Sani
G. S. Charlson
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana
R. L. Sani
Affiliation:
Department of Chemical Engineering, University of Illinois, Urbana
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Abstract

Finite amplitude axisymmetric thermoconvective flows in a bounded cylindrical layer of fluid heated from beneath were calculated using Galerkin's method. Both systems with insulated and with conducting lateral boundaries were investigated for radius-to-depth ratios of 1, 2·25, 2·55 and 2·66. Flows bounded by a conducting lateral boundary were found to be unstable for Rayleigh numbers greater than 1·1 times the critical value. The cell size was found to be an increasing function of the Rayleigh number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 2 , 23 September 1975 , pp. 209 - 229
Copyright
© 1975 Cambridge University Press

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