ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE-Reference-Cited by-同舟云学术

ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE

Published:2004-05 Issue:05 Volume:14 Page:735-758
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

DUPUY D.¹,PANASENKO G. P.¹²,STAVRE R.³

Affiliation:

1. Equipe d'Analyse Numérique UPRES EA 3058, Université Jean Monnet, 23, rue du Dr Paul Michelon, 42 023 Saint Etienne Cedex 2, France

2. Laboratoire de Modélisation en Mécanique – CNRS UMR 7607, Université Pierre et Marie Curie, Paris VI, 8 rue Capitaine Scott, 75 015 Paris, France

3. Institute of Mathematics "Simion Stoilow", Romanian Academy, P.O. Box 1-764, 70 700 Bucharest, Romania

Abstract

The steady motion of a micropolar fluid through a wavy tube with the dimensions depending on a small parameter is studied. An asymptotic expansion is proposed and error estimates are proved by using a boundary layer method. We apply the method of partial asymptotic decomposition of domain and we prove that the solution of the partially decomposed problem represents a good approximation for the solution of the considered problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202504003428

Reference18 articles.

1. Optimization and Numerical Approximation for Micropolar Fluids

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