Artículo
The Transition Between the Navier–Stokes Equations to the Darcy Equation in a Thin Porous Medium
Autor/es | Anguiano Moreno, María
Suárez Grau, Francisco Javier |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2018 |
Fecha de depósito | 2024-05-03 |
Resumen | We consider a Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size aε. Generalizing [2], the fluid is described by the 3D incompressible Navier-Stokes ... We consider a Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size aε. Generalizing [2], the fluid is described by the 3D incompressible Navier-Stokes system where the external force takes values in the space H^{−1}, and the porous medium considered has one of the most commonly used distribution of cylinders: hexagonal distribution. By means of an adaptation of the unfolding method, three different Darcy’s laws are rigorously derived from this model depending on the magnitude aε with respect to ε. |
Agencias financiadoras | Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | P12-FQM-2466
MTM2014-53309-P |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Anguiano_SuarezGrau.pdf | 601.2Kb | [PDF] | Ver/ | |