Flow of Carreau Fluids Through Non-Uniform Pore throats

The creeping flow of a generalized Newtonian fluid in a non--uniform pore throat is investigated analytically. The analytical solution determines the flow regimes and the transition point from Newtonian to the power law flow regime. As an application of the new model, a regular lattice--based pore network model is constructed to simulate the flows of shear--thinning and shear--thickening fluids through porous media. The pore throats have convergent--divergent geometries.