Flow in wavy tube structure: asymptotic analysis and numerical simulation

This paper deals with the study of the stationary, incompressible, 2D flow of a fluid in a thin wavy tube. In this work, we consider a domain which is the union of two wavy tubes depending on a small parameter. The asymptotic expansion is constructed. The method of partial asymptotic decomposition i...

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Veröffentlicht in:Comptes rendus. Mecanique 2003-09, Vol.331 (9), p.609-615
Hauptverfasser: Ainser, Auder, Dupuy, Delphine, Panasenko, Gregory P., Sirakov, Ivan
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container_end_page 615
container_issue 9
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container_title Comptes rendus. Mecanique
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creator Ainser, Auder
Dupuy, Delphine
Panasenko, Gregory P.
Sirakov, Ivan
description This paper deals with the study of the stationary, incompressible, 2D flow of a fluid in a thin wavy tube. In this work, we consider a domain which is the union of two wavy tubes depending on a small parameter. The asymptotic expansion is constructed. The method of partial asymptotic decomposition is applied. The numerical implementation of this method for the extrusion process is developed. The new physical effects are discussed. To cite this article: A. Ainser et al., C. R. Mecanique 331 (2003). Nous considérons ici le mouvement bi-dimensionnel et stationnaire d'un fluide incompressible à l'intérieur d'un domaine constitué de tubes ondulés. La méthode de décomposition asymptotique partielle du domaine est mise en place et des résultats numériques, obtenus pour la modélisation de procédés d'extrusion seront présentés afin de justifier l'application de cette méthode. Pour citer cet article : A. Ainser et al., C. R. Mecanique 331 (2003).
doi_str_mv 10.1016/S1631-0721(03)00131-1
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source Elsevier ScienceDirect Journals; EZB-FREE-00999 freely available EZB journals
subjects Applied sciences
Asymptotic expansion
Computational fluid mechanics
Computational methods in fluid dynamics
Décomposition asymptotique partielle du domaine
Dévéloppement asymptotique
Exact sciences and technology
Extrusion
Extrusion moulding
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Machinery and processing
Moulding
Mécanique des fluides numérique
Numerical solution
Partial asymptotic domain decomposition
Physics
Plastics
Polymer industry, paints, wood
Solution numérique
Stokes equation
Technology of polymers
Équation de Stokes
title Flow in wavy tube structure: asymptotic analysis and numerical simulation
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