2024-05-032024-05-0320170044-2267https://hdl.handle.net/11441/157557We 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 aε. The viscosity is supposed to obey the power law with flow index 3/2 < p < 2 (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 aε with respect to ε.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Non-Newtonian flow; Non-stationary Stokes equation; Darcy’s law; porous medium; thin fluid films.info:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1002/zamm.201600177