Premium
On the non‐stationary non‐Newtonian flow through a thin porous medium
Author(s) -
Anguiano María
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201600177
Subject(s) - porous medium , shear thinning , non newtonian fluid , mechanics , newtonian fluid , darcy's law , viscosity , limit (mathematics) , power law fluid , flow (mathematics) , power law , compressibility , porosity , materials science , thermodynamics , physics , mathematics , mathematical analysis , composite material , statistics
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 a ε . The viscosity is supposed to obey the power law with flow index3 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 a ε with respect to ε.