Effect models for the stationary Navier-Stokes fluid in a porous medium with different scales

In this paper, we investigate an incompressible flow through a thin corrugated domain f i l l with fluid saturated porous medium. The porous medium flow is governed by Navier-Stokes model. The thickness of the domain is assumed to be a and the solid part is supposed to be periodical cylinders of size . We rigorously derive different asymptotic models by comparing the relation between and a. To prove the main results, we employ the homogenization technique based on the generalized Poincare inequality.

Automated summary

This paper investigates the flow of fluid through a thin corrugated domain saturated with porous medium, governed by the Navier-Stokes model. Asymptotic models are derived by comparing the relation between a and the size of the periodic cylinders. The homogenization technique based on the generalized Poincare inequality is used to prove the main results.