Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure
We study the asymptotic behavior of a fluid flow in a thin porous medium of thickness ε, which characteristic size of the pores ε, and containing a fissure of width ηε. We consider the limit when the size of the pores tends to zero and we find a critical size ηε ≈ ε^{2/3} in which the flow is descri...
| Autores: | , |
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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:11441/157541 |
| Acceso en línea: | https://hdl.handle.net/11441/157541 https://doi.org/10.1007/s00033-017-0797-5 |
| Access Level: | acceso abierto |
| Palabra clave: | Stokes equation, Darcy’s law, Reynolds equation, thin porous medium, fissure. |
| Sumario: | We study the asymptotic behavior of a fluid flow in a thin porous medium of thickness ε, which characteristic size of the pores ε, and containing a fissure of width ηε. We consider the limit when the size of the pores tends to zero and we find a critical size ηε ≈ ε^{2/3} in which the flow is described by a 2D Darcy law coupled with a 1D Reynolds problem. We also discuss the other cases. |
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