On the modeling of non-Newtonian purely viscous flow through high porosity synthetic foams

In a previous paper a model was proposed for the prediction of non-Newtonian, purely viscous flow, through isotropic high porosity synthetic foams. However, based on work done for creep flow of a Newtonian fluid through two-dimensional arrays of squares, an adaptation to the existing model is discussed and a volumetric partitioning is proposed which facilitates the introduction of possible stagnant regions within the flow domain. Three models, for non-Newtonian purely viscous flow, were derived that allow for various staggering configuration, namely doubly, singly staggered and non-staggered configurations. Results from the proposed model for a doubly staggered configuration compared favorably to experimental pressure gradient data.