On the Darcy-Lapwood-Brinkman-Saffman dusty fluid flow models through porous media part I: models development

摘要

Mathematical models based on the differential equations approach are developed to describe the motion of an incompressible dusty fluid in porous media. The macroscopic governing equations are derived through the volume-averaging technique and take into account the cases of one-way and two-way interaction between the phases present. The models, based on Saffman's dusty gas model, are then subclassified to account for the different types of flow through porous media.