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Natural convection in a sloping porous layer

Published online by Cambridge University Press:  29 March 2006

S. A. Bories  and
M. A. Combarnous
S. A. Bories
Affiliation:
Groupe d'Etude I.F.P.-I.M.F. sur les Milieux Poreux, 2 Rue Camichel, Toulouse, France
M. A. Combarnous
Affiliation:
Groupe d'Etude I.F.P.-I.M.F. sur les Milieux Poreux, 2 Rue Camichel, Toulouse, France
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Abstract

This paper describes an experimental and theoretical study of thermal convection in a sloping porous layer. The saturated layer is bounded by two parallel impermeable planes maintained at different temperatures. Several types of flows were observed: a unicellular movement and a juxtaposition of longitudinal coils or of polyhedral cells.

A theoretical analysis has been made using the standard bases of the linear theory of stability and by taking into account some assumptions suggested by experimental observations. The critical conditions for the transition between unicellular and polycellular flows has been determined. For flow in longitudinal coils or with polyhedral cells the average heat transfer depends mainly on the filtration Rayleigh number and on the slope of the layer.

The experimental study was made in a Rayleigh number range 0–800 and for various slopes (0–90°). For both the transition criterion and the heat transfer, a good fit was observed between the experimental and theoretical results. For maximum slope, i.e. 90°, a correlation which connects the Nusselt number with both the Rayleigh number and the vertical extent of the model is proposed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 1 , 23 January 1973 , pp. 63 - 79
Copyright
© 1973 Cambridge University Press

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