Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions - Archive ouverte HAL
Journal Articles Networks and Heterogeneous Media Year : 2019

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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Dates and versions

hal-01665749 , version 1 (16-12-2017)
hal-01665749 , version 2 (21-09-2018)

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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, 2019, 14 (2), pp.289-316. ⟨10.3934/nhm.2019012⟩. ⟨hal-01665749v2⟩

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