On the interface boundary conditions between two interacting incompressible viscous fluid flows |
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| Authors: | Alain Brillard Mustapha El Jarroudi |
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| Affiliation: | 1. Université de Haute-Alsace, Laboratoire de Gestion des Risques et Environnement, 3bis rue A. Werner, 68093 Mulhouse, France;2. Université Abdelmalek Essaâdi, FST Tanger, Département de Mathématiques, B.P.416, Tanger, Morocco |
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| Abstract: | We consider two incompressible viscous fluid flows interacting through thin non-Newtonian boundary layers of higher Reynolds? number. We study the asymptotic behaviour of the problem, with respect to the vanishing thickness of the layers, using Γ-convergence methods. We derive general interfacial boundary conditions between the two fluid flows. These boundary conditions are specified for some particular cases including periodic or fractal structures of layers. |
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| Keywords: | Navier&ndash Stokes system Thin non-Newtonian boundary layers Γ-convergence Interfacial boundary conditions |
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