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Thermal convection in a vertical circular cylinder

Published online by Cambridge University Press:  20 April 2006

S. Rosenblat
S. Rosenblat
Affiliation:
Department of Mathematics, Illinois Institute of Technology, Chicago, Il. 60616
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Abstract

A theoretical investigation is made of the onset of buoyancy-driven convection in a circular cylinder. Amplitude equations are derived for the weakly nonlinear evolution of critical disturbances at moderate values of the radius-to-height ratio. It is shown that the initial form of the convective motion a t Rayleigh numbers slightly above critical is not axisymmetric. Particular attention is paid to the neighbourhoods of points where two disturbances are simultaneously critical according to linear theory; the nonlinear evolution in such neighbourhoods is studied in detail.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 122 , September 1982 , pp. 395 - 410
Copyright
© 1982 Cambridge University Press

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