On the non-stationary non-Newtonian flow through a thin porous medium
We consider a non-stationary incompressible non-Newtonian flow in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size aε. The viscosity is supposed to obey the power law with flow index 3/2 < p < 2 (pseudoplastic fluids). The limit when t...
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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:11441/157557 |
| Acceso en línea: | https://hdl.handle.net/11441/157557 https://doi.org/10.1002/zamm.201600177 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-Newtonian flow Non-stationary Stokes equation Darcy’s law porous medium thin fluid films. |
| Sumario: | We consider a non-stationary incompressible non-Newtonian flow in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size aε. The viscosity is supposed to obey the power law with flow index 3/2 < p < 2 (pseudoplastic fluids). The limit when the thickness tends to zero is considered. Time-dependent Darcy’s laws are rigorously derived from this model depending on the magnitude aε with respect to ε. |
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