Contact-line instability of dewetting thin films

被引:47
|
作者
Münch, A
Wagner, B
机构
[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
关键词
stability; lubrication approximation; slippage;
D O I
10.1016/j.physd.2005.06.027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate the linear stability of dewetting thin polymer films on hydrophobised substrates driven by Van-der-Waals forces, using a lubrication model. We focus on the role of slippage in the emerging instability at the three-phase contact-line and compare our results to the corresponding no-slip case. Our analysis shows that generically, small perturbations of the receding front are amplified, but in the slippage case by orders of magnitude larger than in the no-slip case. Moreover, while the perturbations become symmetrical in the no-slip case, they are asymmetrical in the slippage case. We furthermore extend our lubrication model to include effects of nonlinear curvature. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:178 / 190
页数:13
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