Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ε goes to zero, we find a critical size ηε ≈ ε^{2/3} in which the flow is descr...
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2017 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/157538 |
| Acceso en línea: | https://hdl.handle.net/11441/157538 https://doi.org/10.1002/mma.4341 |
| Access Level: | acceso abierto |
| Palabra clave: | Stokes equation Darcy’s law Reynolds equation thin porous medium fissure. |
| Sumario: | We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ε goes to zero, we find a critical size ηε ≈ ε^{2/3} in which the flow is described by a 2D quasi-stationary Darcy law coupled with a 1D quasi-stationary Reynolds problem. |
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