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 ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION Xu, Xianmin1,2; Zhao, Yinyu3; Wang, Xiaoping4 2019 Source Publication SIAM JOURNAL ON APPLIED MATHEMATICS ISSN 0036-1399 Volume 79Issue:6Pages:2551-2568 Abstract In this paper, we study the contact angle hysteresis on a slowly moving rough boundary using a phase-field model with a relaxed boundary condition. In particular, we want to model the recent experimental observation in [D. Guan et al., Phys. Rev. Lett., 116 (2016), 066102]. The speed of the moving boundary is slow enough so that the fluid flow effect is negligible. From asymptotic analysis, we derive an ordinary differential system for the dynamics of the apparent contact angle and the contact point. The system enables us to understand the contact angle hysteresis in the experiment, including the asymmetric dependence of the advancing and receding contact angles on the boundary velocity. Keyword contact angle hysteresis phase field equation asymptotic analysis DOI 10.1137/18M1182115 Indexed By SCI Language 英语 Funding Project Chinese NSFC[11971469] ; NSFC[91630208] ; Hong Kong RGC-GRF[16324416] WOS Research Area Mathematics WOS Subject Mathematics, Applied WOS ID WOS:000546818400016 Publisher SIAM PUBLICATIONS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/51754 Collection 中国科学院数学与系统科学研究院 Corresponding Author Xu, Xianmin Affiliation 1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China4.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China Recommended CitationGB/T 7714 Xu, Xianmin,Zhao, Yinyu,Wang, Xiaoping. ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2019,79(6):2551-2568. APA Xu, Xianmin,Zhao, Yinyu,&Wang, Xiaoping.(2019).ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION.SIAM JOURNAL ON APPLIED MATHEMATICS,79(6),2551-2568. MLA Xu, Xianmin,et al."ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION".SIAM JOURNAL ON APPLIED MATHEMATICS 79.6(2019):2551-2568.
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