Intermediate-asymptotic structure of a dewetting rim with strong slip
Intermediate-asymptotic structure of a dewetting rim with strong slip
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强滑移反润湿边缘的中间渐近结构
DOI：
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发表时间：
2006
期刊：
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通讯作者：
A. Münch
中科院分区：
文献类型：
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作者：
P. L. Evans;J. King;A. Münch
当薄的粘性液体膜去湿时，它通常形成向外扩散的边缘，留下逐渐变干的区域。我们考虑了当液体-基底界面存在强烈滑移时，薄膜的去湿行为。膜可以通过描述膜厚度和速度的两个耦合偏微分方程（PDE）来建模。使用渐近方法，我们描述的结构的边缘，因为它的演变在时间和去湿率，在大的滑动长度的限制。一个内部区域出现，最接近的去湿区，表面张力是很重要的;在外部区域，三个子区域的发展。这种渐近描述比较完整的系统的偏微分方程的数值解。
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.