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arXiv · 1712.05998

Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions

María Anguiano·Francisco J. Suárez-Grau
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Abstract

We consider the Stokes system in a thin porous medium $\Omega_\varepsilon$ of thickness $\varepsilon$ which is perforated by periodically distributed solid cylinders of size $\varepsilon$. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter $\gamma$. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as $\varepsilon$ goes to zero. Using an adaptation of the unfolding method, we give, following the values of $\gamma$, different limit systems.

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María Anguiano, Francisco J. Suárez-Grau. 2017-12-16. Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. https://arxiv.org/abs/1712.05998

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