Asymptotic behaviour of pressure and stresses in a thin film flow with a rough boundary

被引：29

作者：

Benhaboucha, N ^{[1
]}

Chambat, M ^{[1
]}

Ciuperca, I ^{[1
]}

机构：

[1] Univ Lyon 1, CNRS, UMR 5585, F-69622 Villeurbanne, France

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2005年 / 63卷 / 02期

关键词：

homogenization; rough boundary; Reynolds equation; asymptotic stresses;

D O I：

10.1090/S0033-569X-05-00963-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We study the asymptotic behaviour of an incompressible viscous flow in a narrow gap with a thickness of order 77 and a rough surface. The roughness is defined by a quasi-periodical function with period E. In both cases, when 77 is smaller or at the same order as E, we obtain different Reynolds equations for the pressure. We have also studied the convergence of the stresses on the rough boundary and we discuss the different cases.

引用

页码：369 / 400

页数：32

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