A boundary-layer solution for natural convection in rectangular enclosures containing a porous medium is presented. The Brinkman-extended Darcy model, which allows the no-slip boundary condition to be satisfied, is used in the formulation. The method of solution is based on the modified Oseen technique. The flow field is found to be governed by the parameter E = Ra0Da/A. Except in a thin region next to a wall, as E → 0 the flow field is similar to that given by a pure Darcy analysis. Based on results obtained for the Nusselt number, it is determined that a pure Darcy analysis is applicable when E < orderof 10-4. The accuracies of the present solution and the solution obtained from a pure Darcy approach are examined.
ASJC Scopus subject areas
- Fluid Flow and Transfer Processes
- Mechanical Engineering