MULTISCALE ANALYSIS FOR DYNAMIC CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES

被引：1
|
作者：
Xiao, Si [1 ,2 ]
Xu, Xianmin [1 ]
Zhang, Zhen [3 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC,NCMIS, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Beijing 100049, Peoples R China
[3] Southern Univ Sci & Technol SUSTech, Dept Math, Int Ctr Math, Natl Ctr Appl Math Shenzhen,Guangdong Prov Key La, Shenzhen 518055, Peoples R China
来源：
MULTISCALE MODELING & SIMULATION | 2023年 / 21卷 / 01期
基金：
国家重点研发计划;
关键词：
wetting; rough surfaces; averaging; contact angle hysteresis; CAPILLARY DROPS; LIQUID-DROPS; LINES; MODEL;
D O I：
10.1137/22M1504603
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Dynamic contact angle hysteresis is of critical importance for many two-phase flow problems with moving contact lines. It is induced by inhomogeneity or roughness of the substrates. In this paper, we present theoretical studies on the time averaging of a reduced model for wetting on rough surfaces and also the analysis on the effect of stochastic thermal forces. We derive equations for the averaged dynamics and show that the apparent contact angle depends on the harmonic averaging of the geometric and chemical properties of the substrates as well as the contact line velocity. The contact angle hysteresis can be determined quantitatively by the equations. The averaging results are proved rigorously by multi-scale analysis and verified by some numerical examples.
引用
收藏
页码：400 / 425
页数：26
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