Article
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
Author/s | Anguiano Moreno, María
![]() ![]() ![]() ![]() ![]() ![]() ![]() Suárez Grau, Francisco Javier ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Análisis Matemático Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Date | 2019-06 |
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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 ... 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. |
Project ID. | P12-FQM-2466
![]() MTM2014-53309-P ![]() |
Citation | Anguiano Moreno, M. y Suárez Grau, F.J. (2019). Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions. Networks & Heterogeneous Media, 14 (2), 289-316. |
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