Coupled parallel flow through composite porous layers

A numerical scheme for multi-point special boundary-value problems and application to fluid flow through porous layers

“…through ground layers where each layer constitutes a subdomain. In fact, our motivation for this work stems from our interest in modeling fluid flow through multilayer porous medium, where many works have been conducted in this regard [18][19][20][21][22]. The present work generalizes earlier works on two-layer porous medium, [18,19].…”

“…The model given by Eq. (5.22) is referred to as the Darcy-Lapwood-Forchheimer-Brinkman (DFB) model, [19]. When the drag coefficient C d = 0, we have the linear model…”

“…There has been a lot of work on fluid flow through porous media [17][18][19][20][21][22][23][24][25][26] and references therein. For example, the book by Chen et al [17] gives an excellent account on computational methods for multiphase flows in porous media.…”

“…A similar approach to our method has been used in [19] for two-layer problems. Exact solutions for a three-layer configuration with unbounded outer layers have been obtained by Allan et al in [21].…”

“…This configuration is considered here only for comparison purposes with the results obtained in [19]. As in [19], we assume that the flow in the top layer is modeled by the DLB model and that in the lower layer by the DFB model.…”