Analysis of the Darcy-Lapwood and the Darcy-Lapwood-Brinkman models: significance of the laplacian

摘要

A numerical solution for fluid flow through a porous medium as governed by the Darcy-Lapwood model is obtained by solving the Darcy-Lapwood-Brinkman model. The failure of the Darcy-Lapwood model in describing certain flow situations is also illustrated. A solution for the flow through a porous medium overlying curved boundaries is also obtained for the Darcy-Lapwood-Brinkman equation for moderate Re, using a numerical approach to the von Mises transformation. The viscous effects incorporated in the Darcy-Lapwood-Brinkman model are important in the study of viscous fluid flow through bounded porous media in order to include the no-slip condition on solid boundaries associated with this equation, but it is shown that these viscous effects are not so important in the current study of flow through porous media over a special type of curved boundary.