MULTISCALE ANALYSIS FOR DYNAMIC CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES

Xiao，Si1,2; Xu，Xianmin4; Zhang，Zhen3

2023

10.1137/22M1504603

Multiscale Modeling and Simulation   影响因子和分区

1540-3459

1540-3467

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.

averaging contact angle hysteresis rough surfaces wetting

SCI ; EI

英语

其他

National Natural Science Foundation of China[11971469];National Natural Science Foundation of China[12126602];Guangdong Provincial Key Laboratory of Urology[2019B030301001];Basic and Applied Basic Research Foundation of Guangdong Province[2021A1515010359];

Mathematics ; Physics

Mathematics, Interdisciplinary Applications ; Physics, Mathematical

WOS:001092475400001

SIAM PUBLICATIONS

20232114136271

Contact angle ; Hysteresis ; Numerical methods ; Stochastic models ; Stochastic systems ; Surface measurement ; Two phase flow

Fluid Flow, General:631.1 ; Control Systems:731.1 ; Numerical Methods:921.6 ; Probability Theory:922.1 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Mechanical Variables Measurements:943.2 ; Systems Science:961

MATHEMATICS

2-s2.0-85159759613

Scopus

1.LSEC,ICMSEC,NCMIS,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,100190,China
2.University of Chinese Academy of Sciences,Beijing,100049,China
3.Department of Mathematics,International Center for Mathematics,National Center for Applied Mathematics Shenzhen,Guangdong Provincial Key Laboratory of Computational Science and Material Design,Southern University of Science and Technology (SUSTech),Shenzhen,518055,China
4.

Xiao，Si,Xu，Xianmin,Zhang，Zhen. MULTISCALE ANALYSIS FOR DYNAMIC CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES[J]. Multiscale Modeling and Simulation,2023,21(1):400-425.

Xiao，Si,Xu，Xianmin,&Zhang，Zhen.(2023).MULTISCALE ANALYSIS FOR DYNAMIC CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES.Multiscale Modeling and Simulation,21(1),400-425.

Xiao，Si,et al."MULTISCALE ANALYSIS FOR DYNAMIC CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES".Multiscale Modeling and Simulation 21.1(2023):400-425.