%0 Journal Article
%A Stavre, R.
%A Panasenko, Gregory P.
%A Sirakov, Y.
%D 2007
%I Begell House
%N 6
%P 473-482
%R 10.1615/IntJMultCompEng.v5.i6.40
%T Asymptotic and Numerical Modeling of a Flow in a Thin Channel with Viscoelastic Wall
%U http://dl.begellhouse.com/journals/61fd1b191cf7e96f,120489656946d0de,00edd6e96d564e8b.html
%V 5
%X 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.
%8 2008-02-04