A NUMERICAL STUDY OF THREE-DIMENSIONAL DROPLETS SPREADING ON CHEMICALLY PATTERNED SURFACES

被引：2

作者：

Zhong, Hua ^{[1
]}

Wang, Xiao-Ping ^{[2
]}

Sun, Shuyu ^{[3
]}

机构：

[1] Guangdong Univ Finance & Econ, Sch Math & Stat, Guangzhou, Guangdong, Peoples R China

[2] Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] King Abdullah Univ Sci & Technol, Computat Transport Phenomena Lab, Riyadh, Saudi Arabia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2016年 / 21卷 / 08期

关键词：

Contact angle hysteresis; patterned surfaces; contact line; asymptotic behavior; two-phase flow; CONTACT-ANGLE HYSTERESIS; HETEROGENEOUS SURFACES; LINE;

D O I：

10.3934/dcdsb.2016079

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study numerically the three-dimensional droplets spreading on physically flat chemically patterned surfaces with periodic squares separated by channels. Our model consists of the Navier-Stokes-Calm-Hilliard equations with the generalized Navier boundary conditions. Stick-slip behavior and contact angle hysteresis are observed. Moreover, we also study the relationship between the effective advancing/receding angle and the two intrinsic angles of the surface patterns. By increasing the volume of droplet gradually, we find that the advancing contact line tends gradually to an equiangular octagon with the length ratio of the two adjacent sides equal to a fixed value that depends on the geometry of the pattern.

引用

页码：2905 / 2926

页数：22

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