Gravity-driven thin-film flow on a flexible substrate

被引：15

作者：

Howell, P. D. ^{[1
]}

Robinson, J. ^{[2
]}

Stone, H. A. ^{[3
]}

机构：

[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England

[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England

[3] Princeton Univ, Dept Mech & Aerosp Engn, Princeton, NJ 08544 USA

来源：

JOURNAL OF FLUID MECHANICS | 2013年 / 732卷

基金：

英国工程与自然科学研究理事会;

关键词：

coating; lubrication theory; thin films; LIQUID-FILMS; SURFACE; INSTABILITIES; STABILITY; CYLINDER; DYNAMICS; DRAINAGE;

D O I：

10.1017/jfm.2013.404

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the flow of a thin liquid film along a flexible substrate. The flow is modelled using lubrication theory, assuming that gravity is the dominant driving force. The substrate is modelled as an elastic beam that deforms in two dimensions. Steady solutions are found using numerical and perturbation methods, and several different asymptotic regimes are identified. We obtain a complete characterization of how the length and stiffness of the beam and the imposed liquid flux determine the profile of the liquid film and the resulting beam deformation.

引用

页码：190 / 213

页数：24

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