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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2007, Volume5

77 pages

DOI: 10.1615/IntJMultCompEng.v5.i6

Issue price - $138.00

Asymptotic and Numerical Modeling of a Flow in a Thin Channel with Viscoelastic Wall

Gregory P. Panasenko
Laboratory of Mathematics of the University of Saint-Etienne (LaMUSE, EA 3989),University Jean Monnet, 42023 Saint-Etienne, France

Y. Sirakov
Laboratory of Rheology for Plastic Materials of the University of Saint-Etienne (UMR CNRS 5156), University Jean Monnet, 42023 Saint-Etienne, France

R. Stavre
Institute of Mathematics "Simion Stoilow", Romanian Academy, P.O. Box 1-764 RO-70700 Bucharest, Romania

ABSTRACT

This article deals with a theoretical and numerical study of a fluid-structure interaction problem. We consider the nonstationary flow of a viscous fluid in a thin rectangle with an elastic wall as the upper part of the boundary. The physical problem that corresponds to nonhomogeneous boundary conditions is stated. By using a boundary layer method, an asymptotic solution is constructed. The properties of the boundary layer functions are established, and an error estimate is obtained. The asymptotic expansions are justified both by the error estimates and by the numerical simulations.