Axisymmetric spreading of a thin drop under gravity and time-dependent non-uniform surface tension

被引：3

作者：

Momoniat, E. ^{[1
]}

机构：

[1] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 322卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

thin film; non-uniform surface tension; similarity solutions;

D O I：

10.1016/j.jmaa.2005.08.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A second-order non-linear partial differential equation modelling the gravity driven spreading of a thin viscous liquid film with time-dependent non-uniform surface tension Sigma(t, r) is considered. The problem is specified in cylindrical polar coordinates where we assume the flow is axisymmetric. Similarity solutions describing the spreading of a thin drop and the flattening of a thin bubble are investigated. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：41 / 50

页数：10

共 50 条

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