ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION

doi:10.1137/18M1182115

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	ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION
	Xu, Xianmin 1,2; Zhao, Yinyu 3; Wang, Xiaoping 4
	2019
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	79 期号:6 页码:2551-2568
摘要	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.
关键词	contact angle hysteresis phase field equation asymptotic analysis
DOI	10.1137/18M1182115
收录类别	SCI
语种	英语
资助项目	Chinese NSFC[11971469] ; NSFC[91630208] ; Hong Kong RGC-GRF[16324416]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000546818400016
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51754
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Xianmin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 4.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China
推荐引用方式 GB/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.