Thermally Driven Tall Cavity Flows in Porous Media: The Convective Regime
Abstract
Thermally driven flows in a twodimensional rectangular cavity filled with a fluidsaturated porous medium are considered when the applied temperature difference is perpendicular to the gravity vector. The flow depends on two nondimensional parameters, the DarcyRayleigh number, A, and the cavity aspect ratio, h (height/width). Steady motion is generated by maintaining the vertical sidewalls at different constant temperatures and the horizontal boundaries are assumed to be thermally insulating. The present study is concerned with the limit of large aspect ratio, h > ∞ , and DarcyRayleigh numbers A of order h, such that convection is important throughout the cavity. The main properties of the flow and heat transfer are obtained by considering a vertical boundarylayer approximation to the motion in the main body of the cavity. This leads, in particular, to the prediction of a position of minimum heat transfer across the cavity, of interest in the thermal insulation of buildings and other areas of technology.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 February 1994
 DOI:
 10.1098/rspa.1994.0026
 Bibcode:
 1994RSPSA.444..375A