Minimum principle for the flow of inelastic non-Newtonian fluids in macroscopic heterogeneous porous media
Laurent Talon · Physical Review Fluids · 2022
Non-Newtonian fluids are found in many applications related to porous or fractured media. At a macroscopic scale, inelastic non-Newtonian fluid obeys a nonlinear Darcy's equation. This paper show thats the solution of such a nonlinear equation in a heterogeneous permeability field obeys a minimum principle similar to the minimum dissipation principle of Stokes flow.