Approximate waiting-time for a thin liquid drop spreading under gravity

被引：0

作者：

Momoniat E. ^{[1
]}

机构：

[1] Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3

来源：

Journal of Nonlinear Mathematical Physics | 2002年 / 9卷 / Suppl 2期

关键词：

D O I：

10.2991/jnmp.2002.9.s2.9

中图分类号：

学科分类号：

摘要：

The method of multiple scales is used to introduce a small-time scale into the non-linear diffusion equation modelling the spreading of a thin liquid drop under gravity. The Lie group method is used to analyse the resulting system. An approximate group invariant solution and an approximation to the waiting-time is obtained. A mathematical description of a spreading drop with non-infinite contact angle is obtained. This application to determining an approximation to the waiting-time is novel as it combines the method of multiple scales and Lie groups. © 2002 Taylor & Francis Group, LLC.

引用

页码：102 / 109

页数：7

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