Analytical modelling and numerical verification of non-Newtonian fluid flow through and over two-dimensional porous media

In this paper, analytical equations are derived for predicting the flow of time independent non-Newtonian fluids through a two-dimensional granular porous structure and validated numerically. These equations were then used in the analytical expressions for the volumetric flow rates of generalised Newtonian fluids flowing inside a composite channel, consisting of a free-flow region adjacent to an infinite porous domain. The analytical equations are validated numerically and modifications are proposed. Commercial CFD software is used in these numerical validations where fluid flow is considered at a continuum level.