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

Abstract : We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary conditions depending on a parameter γ. The aim is to give the asymptotic behavior of the velocity and the pressure of the fluid as ε goes to zero. Using an adaptation of the unfolding method, we give, following the values of γ, different limit systems.
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Submitted on : Friday, September 21, 2018 - 8:21:54 PM
Last modification on : Wednesday, November 3, 2021 - 6:14:59 AM

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María Anguiano, Francisco J. Suárez-Grau. Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2019. ⟨hal-01665749v2⟩

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