Darcy's laws for non-stationary viscous fluid flow in a thin porous medium
We consider a non-stationary Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. We are interested here to give the limit behavior when ε goes to zero. To do so, we apply an adaptation of the unfolding method. Time-dependent Darcy’s...
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/157537 |
| Acesso em linha: | https://hdl.handle.net/11441/157537 https://doi.org/10.1002/mma.4204 |
| Access Level: | acceso abierto |
| Palavra-chave: | Homogenization Non-stationary Stokes equation Darcy’s law Brinkman’s law porous medium thin fluid films. |
| Resumo: | We consider a non-stationary Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. We are interested here to give the limit behavior when ε goes to zero. To do so, we apply an adaptation of the unfolding method. Time-dependent Darcy’s laws are rigorously derived from this model depending on the comparison between aε and ε. |
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