The dynamics of thin films I: General theory

被引：40

作者：

Ida, MP ^{[1
]}

Miksis, MJ ^{[1
]}

机构：

[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1998年 / 58卷 / 02期

关键词：

lamella; stability; matched asymptotic expansion;

D O I：

10.1137/S0036139995289556

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The dynamics of a general three-dimensional thin film subject to van der Waals forces, surface tension, and surfactants is considered. Using an asymptotic analysis based upon the thinness of the film with respect to its lateral extent, evolution equations for the leading-order film thicknesses, tangential velocities, and surfactant concentrations are obtained.

引用

页码：456 / 473

页数：18

共 30 条

[11] THE INFLUENCE OF INTERMOLECULAR FORCES ON THIN FLUID LAYERS [J].

HOCKING, LM .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (04) :793-799

[12] DYNAMICS OF A LAMELLA IN A CAPILLARY-TUBE [J].

IDA, MP ;

MIKSIS, MJ .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1995, 55 (01) :23-57

[13]

IDA MP, 1995, THESIS NW U EVANSTON

[14]

IDA MP, 1998, APPLICATIONS, V58, P474

[15] INSOLUBLE SURFACTANT SPREADING ON A THIN VISCOUS FILM - SHOCK EVOLUTION AND FILM RUPTURE [J].

JENSEN, OE ;

GROTBERG, JB .

JOURNAL OF FLUID MECHANICS, 1992, 240 :259-288

[16]

KREYSZIG E, 1991, MATH EXPOSITIONS, V11

[17]

MALDARELLI C, 1980, J COLLOID INTERF SCI, V78, P119

[18] HYDRODYNAMIC STABILITY OF THIN SPHERICALLY CONCENTRIC FLUID SHELLS [J].

PATZER, JF ;

HOMSY, GM .

JOURNAL OF COLLOID AND INTERFACE SCIENCE, 1975, 51 (03) :499-508

[19] NONLINEAR RUPTURE OF THIN FREE LIQUID-FILMS [J].

PREVOST, M ;

GALLEZ, D .

JOURNAL OF CHEMICAL PHYSICS, 1986, 84 (07) :4043-4048

[20] SPONTANEOUS RUPTURE OF THIN LIQUID-FILMS [J].

RUCKENSTEIN, E ;

JAIN, RK .

JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS II, 1974, 70 :132-147

← 1 2 3 →