- Bejan, Adrian and Kimura, Shigeo, PENETRATION OF FREE CONVECTION INTO A LATERAL CAVITY.,
Journal of Fluid Mechanics, vol. 103
pp. 465 - 478 .
(last updated on 2007/04/08)
The paper presents a theoretical and experimental study of natural convection in a horizontal cavity which communicates laterally with a large reservoir. The cavity walls and the reservoir are at different temperatures. It is shown theoretically that the flow consists of a horizontal counterflow which penetrates the cavity over a distinct length. The penetration length is shown to be proportional to the cavity height and to the square root of the Rayleigh number based on cavity height and cavity-reservoir temperature difference. The validity of the theory is demonstrated on the basis of a flow visualization experiment. It is shown also that the Nusselt number for cavity-reservoir heat exchange is proportional to the square root of the Rayleigh number, and is relatively insensitive to the Prandtl number in the range 0. 7 to infinity . Refs.
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