Thermally Driven Cavity Flows in Porous Media II. The Horizontal Boundary Layer Structure

P. G. Daniels, P. A. Blythe, P. G. Simpkins
1982 Proceedings of the Royal Society A  
An analysis is given of the structure, a t high Rayleigh numbers, of therm ally driven cavity flows in fluid-saturated porous media. Particular emphasis is placed on the description of the diffusive layers near the horizontal surfaces. Solutions consistent with the core behaviour deter mined in p a rt I of this series are obtained. These solutions, which are new, indicate th a t the horizontal boundary layers have a double structure in which the outer layer has a thickness where R is the
more » ... ere R is the Rayleigh number. Corner interactions between the horizontal and the vertical boundary layers are also discussed, and the present theory provides a first-order description of the entire flow field. * P a rt I appeared in Proc R . Soc. Lond. A 380, [ 135 ]
doi:10.1098/rspa.1982.0093 fatcat:df4wvung7bbobdhoxqfggcri2i