Article
Homogenization of an incompressible non-Newtonian flow through a thin porous medium
Author/s | Anguiano Moreno, María
Suárez Grau, Francisco Javier |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2017 |
Deposit Date | 2024-05-03 |
Abstract | In this paper, we consider a non-Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. The flow is described by the 3D incompressible Stokes system with a ... In this paper, we consider a non-Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. The flow is described by the 3D incompressible Stokes system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index 1 < p < +∞. We consider the limit when domain thickness tends to zero and we obtain different models depending on the magnitude aε with respect to ε. |
Funding agencies | Junta de Andalucía European Research Council (ERC) Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | P12-FQM-2466
H2020-EU.1.1.-639227 MTM2014-53309-P. |
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