On the non‐stationary non‐Newtonian flow through a thin porous medium
María Anguiano · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2017
We consider a non‐stationary incompressible non‐Newtonian flow in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size . The viscosity is supposed to obey the power law with flow index (pseudoplastic fluids). The limit when the thickness tends to zero is considered. Time‐dependent Darcy's laws are rigorously derived from this model depending on the magnitude with respect to ε.