Models for flow of non-Newtonian and complex fluids through porous media

By J. Pearson, P. Tardy. 2002

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Flow of non‐newtonian fluids in porous media (2009, methodology): “The underlying assumption is that in these situations the thixotropic effects have a negligible impact on the resulting flow field, and this allows great mathematical simplifications [42, 124, 126, 128, 129, 130].”
Non-Newtonian flow in porous media (2010, methodology): “A common approach for single-phase flow is to find a suitable definition for the effective viscosity which will continue to have the dimensions and physical significance of Newtonian viscosity [32].”
A numerical method for incompressible non-Newtonian fluid flows based on the lattice Boltzmann method (2007, background): “In the laminar flow region, the generalized Darcy’s law [16,30,31] is valid for power-law fluids flowing through porous media:”