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Note on Gill's solution for free convection in a vertical enclosure

Published online by Cambridge University Press:  19 April 2006

Adrian Bejan
Adrian Bejan
Affiliation:
Department of Mechanical Engineering, University of Colorado, Boulder
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Abstract

This paper develops an alternative approach to evaluating the arbitrary constants found in Gill's solution for the boundary-layer free-convection regime in a vertical rectangular enclosure. The new method consists of calculating the net upward flow of energy through the enclosure and setting it equal to zero near the top and bottom boundaries of the cavity. The present method takes into account the impermeable and adiabatic properties of the horizontal end walls. The overall Nusselt number derived on this new basis is shown to agree well with available experimental and numerical heat-transfer correlations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 90 , Issue 3 , 13 February 1979 , pp. 561 - 568
Copyright
© 1979 Cambridge University Press

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