article, we develop a set of partial differential equations describing the flow
of a dusty fluid in variable porosity media. The developed equations take into
account the effect of the porous microstructure on the flowing phases.
We presented and overview of the equations governing the flow of a dusty gas in various type media, including that in naturally occurring porous media. Numerical techniques are used to solve the set of partial differential equations describing the flow for different values of the porous media parameters of interest. These parameters are the Forchheimr drag coefficient Cd, the permeability η and the Reynold number Re.