Article
Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary
Author/s | Suárez Grau, Francisco Javier |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2015 |
Deposit Date | 2024-09-09 |
Abstract | We consider a non-Newtonian flow in a thin domain of thickness $\varepsilon$. The flow is described by the 3D incompressible Navier-Stokes (Stokes) system with a nonlinear
viscosity, being a power of the shear rate ... We consider a non-Newtonian flow in a thin domain of thickness $\varepsilon$. The flow is described by the 3D incompressible Navier-Stokes (Stokes) system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index $p$. The bottom of the domain is irregular by the present of slight roughness of amplitude $\varepsilon^\delta$ and period $\varepsilon^\beta$, satisfying the relation $1<\beta<\delta$. Assuming pure slip or partial slip with a friction coefficient $\varepsilon^{-\gamma}$, with $\gamma>0$, on the rough boundary, we consider the limit when domain thickness tends to zero and we obtain different models depending on the magnitude $\delta$ with respect to ${2p-1\over p}\beta-{p-1\over p}$, and the magnitude $\gamma$ with respect to ${1\over p-1}$. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM2011-24457 |
Files | Size | Format | View | Description |
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SuarezGrauFJ_NA-D-14-00423.pdf | 424.6Kb | [PDF] | View/ | Versión aceptada |