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Asymptotic analysis for micropolar fluidsAnalyse asymptotique des fluides micropolaires |
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| Authors: | Delphine Dupuy Gregory P Panasenko Ruxandra Stavre |
| Institution: | 1. Équipe d''analyse numérique, UPRES EA 3058, Université de Saint-Etienne, 23, rue Paul Michelon, 42023 Saint-Etienne, France;2. Laboratoire de modélisation en mécanique – CNRS UMR 7607, Université Pierre et Marie Curie – Paris VI, 8, rue du Capitaine Scott, 75015 Paris, France;3. Institute of Mathematics “Simion Stoilow” Romanian Academy, PO Box 1-764, 70700 Bucharest, Romania |
| Abstract: | The flow of a micropolar fluid through a wavy constricted channel which depends on a small parameter ε?1 is considered. The asymptotic solution is built and justified thanks to a study of the boundary layers terms. The Stokes and Navier–Stokes problems set in a tube structure were previously considered. The method of partial asymptotic decomposition of domain (MAPPD) is also applied and justified for the micropolar flow problem. This method reduces the initial problem to the problem set in the boundary layers domain. To cite this article: D. Dupuy et al., C. R. Mecanique 332 (2004). |
| Keywords: | Computational fluid mechanics Micropolar fluids Asymptotic expansion Partial asymptotic domain decomposition Mécanique des fluides numérique Fluides micropolaires Dévéloppement asymptotique Décomposition asymptotique partielle du domaine |
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