Asymptotic solution for a micropolar flow in a curvilinear channel

被引：35

作者：

Dupuy, D. ^{[1
]}

Panasenko, G. P. ^{[2
]}

Stavre, R. ^{[3
]}

机构：

[1] Ecole Natl Super Mines, Dept G2I 3MI, F-42023 St Etienne 2, France

[2] Univ St Etienne, Math Lab, LaMUSE, EA3989, F-42023 St Etienne, France

[3] Romanian Acad, Inst Math Sim Stoilow, Bucharest 70700, Romania

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2008年 / 88卷 / 10期

关键词：

Micropolar fluids; curvilinear channel; asymptotic expansion; error estimates;

D O I：

10.1002/zamm.200700136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with an asymptotic approach for a micropolar flow through a thin curvilinear channel. A priori estimates (which we obtain together with the existence and the uniqueness of the solution) are used to establish the error between the exact solution and the asymptotic one and to justify the asymptotic analysis. We obtain the expression of an expansion of order K and we study the general problems for the boundary layer functions. Under some additional assumptions on the data we obtain satisfactory error estimates. (C) 2008 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim

引用

页码：793 / 807

页数：15

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