On the Darcy-Lapwood-Brinkman-Saffman dusty fluid flow models through porous media part II: applications to flow into a two-dimensional sink

摘要

The differential equations governing the flow of an incompressible dusty fluid through porous media, based on the Darcy-Lapwood-Brinkman-Saffman (DLB-S) models derived in Part I are solved numerically to illustrate the deterministic nature of the models and to study the effect of introducing a small concentration of dust, by volume, on the fluid-phase characteristics. The fluid is assumed to flow through a finite porous channel into a two-dimensional line sink. Various models are treated to provide a comparison between the two-way and the different one-way interaction processes possible between the phases present. Analyses indicate that the way in which the Darcy resistance is defined is a major distinguishing factor between the models.