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Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces
Zhang, Zhen1; Xu, Xianmin2,3
2022-02-03
Source PublicationJOURNAL OF FLUID MECHANICS
ISSN0022-1120
Volume935Pages:40
AbstractRecent experiments (Guan et al., Phys. Rev. Lett., vol. 116, issue 6, 2016a, p. 066102; Guan et al., Phys. Rev. E, vol. 94, issue 4, 2016b, p. 042802) showed many interesting phenomena on dynamic contact angle hysteresis while there is still a lack of complete theoretical interpretation. In this work, we study the time averaging of the apparent advancing and receding contact angles on surfaces with periodic chemical patterns. We first derive a new Cox-type boundary condition for the apparent dynamic contact angle on homogeneous surfaces using the Onsager variational principle. Based on this condition, we propose a reduced model for some typical moving contact line problems on chemically inhomogeneous surfaces in two dimensions. Multiscale expansion and averaging techniques are employed to approximate the model for asymptotically small chemical patterns. We obtain a quantitative formula for the averaged dynamic contact angles. It describes explicitly how the advancing and receding contact angles depend on the velocity and the chemical inhomogeneity of the substrate. The formula is a coarse-graining version of the Cox-type boundary condition on inhomogeneous surfaces. Numerical simulations are presented to validate the analytical results. The numerical results also show that the formula characterizes well the complicated behaviour of dynamic contact angle hysteresis observed in the experiments.
Keywordcontact lines wetting and wicking
DOI10.1017/jfm.2022.33
Indexed BySCI
Language英语
Funding ProjectNSFC[11971469] ; NSFC[11731006] ; NSFC[12071207] ; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001] ; Guangdong Basic and Applied Basic Research Foundation[2021A1515010359] ; National Key R&D Program of China[2018YFB0704304] ; National Key R&D Program of China[2018YFB0704300]
WOS Research AreaMechanics ; Physics
WOS SubjectMechanics ; Physics, Fluids & Plasmas
WOS IDWOS:000750194100001
PublisherCAMBRIDGE UNIV PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/59945
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Xianmin
Affiliation1.Southern Univ Sci & Technol SUSTech, Guangdong Prov Key Lab Computat Sci & Mat Design, Natl Ctr Appl Math Shenzhen, Int Ctr Math,Dept Math, Shenzhen 518055, Peoples R China
2.Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS & LSEC, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Zhen,Xu, Xianmin. Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces[J]. JOURNAL OF FLUID MECHANICS,2022,935:40.
APA Zhang, Zhen,&Xu, Xianmin.(2022).Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces.JOURNAL OF FLUID MECHANICS,935,40.
MLA Zhang, Zhen,et al."Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces".JOURNAL OF FLUID MECHANICS 935(2022):40.
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