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Pré-Publication, Document De Travail Année : 2017

Newtonian fluid flow in a thin porous medium with a non-homogeneous Fourier boundary condition

Résumé

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 Fourier boundary condition 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 et versions

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

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  • HAL Id : hal-01665749 , version 1

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María Anguiano, Francisco J. Suárez-Grau. Newtonian fluid flow in a thin porous medium with a non-homogeneous Fourier boundary condition. 2017. ⟨hal-01665749v1⟩
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