强滑移除湿轮缘的中渐近结构

P. L. Evans, J. King, A. Münch
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引用次数: 6

摘要

当一层粘稠的液体薄膜融化时,它通常会形成一个向外扩散的边缘,留下一个日益干燥的区域。我们考虑了在液基界面处存在强滑移时薄膜的脱湿行为。薄膜可以用描述薄膜厚度和速度的两个耦合偏微分方程(PDEs)来建模。使用渐近方法,我们描述了在大滑移长度的限制下,边缘的结构随时间和脱湿速率的变化。内部区域出现,最接近脱水区域,其中表面张力很重要;在一个外部区域,发展了三个次区域。将此渐近描述与全系统的数值解进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Intermediate-asymptotic structure of a dewetting rim with strong slip
When a thin viscous liquid film dewets, it typically forms a rim which spreads outwards, leaving behind a growing dry region. We consider the dewetting behavior of a film, when there is strong slip at a liquid-substrate interface. The film can be modeled by two coupled partial differential equations (PDEs) describing the film thickness and velocity. Using asymptotic methods, we describe the structure of the rim as it evolves in time and the rate of dewetting, in the limit of large slip lengths. An inner region emerges, closest to the dewetted region, where surface tension is important; in an outer region, three subregions develop. This asymptotic description is compared with numerical solutions of the full system of PDEs.
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