Effective contact angle for rough boundary

被引：17
|
作者：
Chen, Xinfu [2 ]
Wang, Xiao-Ping [1 ]
Xu, Xianmin [3 ]
机构：
[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
[3] Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2013年 / 242卷 / 01期
关键词：
Wetting; Wenzel equation; Rough surface; WENZEL; CASSIE; SURFACES; HYSTERESIS; DERIVATION; EQUATIONS; MCCARTHY; GAO;
D O I：
10.1016/j.physd.2012.08.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We provide rigorous justification for the classical Wenzel equation for the roughness enhanced effective contact angle. The minimization of the total surface energy is reformulated into a variational problem. As the size of the roughness becomes small we show convergence of the minimizer. The limiting minimizer and effective contact angle are explicitly calculated to verify the Wenzel equation. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：54 / 64
页数：11
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