Abstract
Natural convection in a vertical slot filled with a fluid-saturated porous medium modeled by the Brinkman equation is considered. A continuum of solutions are found from capped to open ends in fully-developed two-dimensional flow. This brings to flow in a porous media some aspects of the Newtonian conduction regime results of Bühler (Heat Mass Transf 39: 631, 2003) and the convection regime results of Weidman (Heat Mass Transf 43: 103, 2006). The Brinkman model, valid for sufficiently large porosity and governed by parameter α, allows one to connect Bühler's conduction regime flow at low α to a near-Darcy convection regime boundary-layer flow at high α.
Original language | English |
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Pages (from-to) | 209-216 |
Number of pages | 8 |
Journal | Acta Mechanica |
Volume | 199 |
Issue number | 1-4 |
DOIs | |
State | Published - Aug 2008 |