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A numerical study of the Bénard cell

Published online by Cambridge University Press:  29 March 2006

André Cabelli  and
G. de Vahl Davis
André Cabelli
Affiliation:
The University of New South Wales, Kensington, Australia
G. de Vahl Davis
Affiliation:
The University of New South Wales, Kensington, Australia
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Abstract

When a layer of liquid is heated from below at a rate which exceeds a certain critical value, a two- or three-dimensional motion is generated. This motion arises from the action of buoyancy and surface tension forces, the latter being due to variations in the temperature of the liquid surface.

The two-dimensional form of the flow has been studied by a numerical method. It consists of a series of rolls, rotating alternately clockwise and anticlockwise, which are shown to be symmetrical about the dividing streamlines. As well as a detailed description of the motion and temperature of the liquid, and of the effects on these characteristics of variations in the Rayleigh, Marangoni, Prandtl and Biot numbers, a study has been made of the conditions under which the motion first starts, the wavelength of the rolls and the rate of heat transfer across the liquid layer.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 45 , Issue 4 , 26 February 1971 , pp. 805 - 829
Copyright
© 1971 Cambridge University Press

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References

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