Homogenization of an incompressible non-Newtonian flow through a thin porous medium

@article{Anguiano2017HomogenizationOA,
  title={Homogenization of an incompressible non-Newtonian flow through a thin porous medium},
  author={Mar{\'i}a Anguiano and Francisco Javier Su{\'a}rez-Grau},
  journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik},
  year={2017},
  volume={68},
  pages={1-25}
}
In this paper, we consider a non-Newtonian flow in a thin porous medium $$\Omega _{\varepsilon }$$Ωε of thickness $$\varepsilon $$ε which is perforated by periodically solid cylinders of size $$a_{\varepsilon }$$aε. The flow is described by the 3D incompressible Stokes system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index $$1<p<+\infty $$1<p<+∞. We consider the limit when domain thickness tends to zero, and we obtain different models depending on the… CONTINUE READING