Article
Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
Author/s | Anguiano Moreno, María |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017 |
Deposit Date | 2024-05-03 |
Abstract | 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 ... 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. |
Funding agencies | Junta de Andalucía European Research Council (ERC) |
Project ID. | P12- FQM-2466
H2020-EU.1.1.-639227 |
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