Snoeijer J H, Ziegler J, Andreotti B, Fermigier M, Eggers J
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom.
Phys Rev Lett. 2008 Jun 20;100(24):244502. doi: 10.1103/PhysRevLett.100.244502. Epub 2008 Jun 18.
We consider the deposition of a film of viscous liquid on a flat plate being withdrawn from a bath, experimentally and theoretically. For any plate speed U, there is a range of "thick" film solutions whose thickness scales like U{1/2} for small U. These solutions are realized for a partially wetting liquid, while for a perfectly wetting liquid the classical Landau-Levich-Derjaguin film is observed, whose thickness scales like U{2/3}. The thick film is distinguished from the Landau-Levich-Derjaguin film by a dip in its spatial profile at the transition to the bath. We calculate the phase diagram for the existence of stationary film solutions as well as the film profiles and find excellent agreement with experiment.
我们从实验和理论两方面研究了粘性液体薄膜在从浴槽中抽出的平板上的沉积情况。对于任何平板速度U，存在一系列“厚”膜解，对于小U，其厚度尺度类似于U的1/2次方。这些解适用于部分润湿液体，而对于完全润湿液体，则观察到经典的朗道-列维奇-杰亚金薄膜，其厚度尺度类似于U的2/3次方。厚膜与朗道-列维奇-杰亚金薄膜的区别在于，在与浴槽过渡处其空间轮廓有一个凹陷。我们计算了静态膜解存在的相图以及膜的轮廓，并发现与实验结果非常吻合。
