Simulation of non-Newtonian flow in micro-porous media with the lattice Boltzmann method

Based on modified Blake-Kozeny equation, the lattice Boltzmann method is developed to simulate the flow of non-Newtonian fluids described by the Herschel-Bulkley model in micro-porous media. The flow through porous media was simulated by adding a non-Newtonian force term to the evolution equation. The method was applied to simulate the electroosmotic flow in micro-porous media instead of conventional pressure driven. The influences of porosity and rheology parameters on the non-Newtonian fluid are investigated and the porous velocity is obtained under various conditions.