ANALYSIS FOR CONTACT ANGLE HYSTERESIS ON ROUGH SURFACES BY A PHASE-FIELD MODEL WITH A RELAXED BOUNDARY CONDITION
文献类型:期刊论文
作者 | Xu, Xianmin3,4; Zhao, Yinyu2; Wang, Xiaoping1 |
刊名 | SIAM JOURNAL ON APPLIED MATHEMATICS
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出版日期 | 2019 |
卷号 | 79期号:6页码:2551-2568 |
关键词 | contact angle hysteresis phase field equation asymptotic analysis |
ISSN号 | 0036-1399 |
DOI | 10.1137/18M1182115 |
英文摘要 | 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. |
资助项目 | Chinese NSFC[11971469] ; NSFC[91630208] ; Hong Kong RGC-GRF[16324416] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000546818400016 |
出版者 | SIAM PUBLICATIONS |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51753] ![]() |
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.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC, Beijing 100190, 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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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