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 Onset of thin film meniscus along a fibre Guo, Shuo1; Xu, Xianmin2; Qian, Tiezheng3; Di, Yana2; Doi, Masao4; Tong, Penger1 2019-04-25 Source Publication JOURNAL OF FLUID MECHANICS ISSN 0022-1120 Volume 865Pages:650-680 Abstract The dynamics of spreading of a macroscopic liquid droplet over a wetting surface is often described by a power-law relaxation, namely, the droplet radius increases as t(m) for time t, which is known as Tanner's law. Here we show, by both experiments and theory, that when the liquid spreading takes place between a thin soap film and a glass fibre penetrating the film, the spreading is significantly slowed down. When the film thickness l becomes smaller than the fibre diameter d, the strong hydrodynamic confinement effect of the soap film gives rise to a logarithmic relaxation with fibre creeping time t. Such a slow dynamics of spreading is observed for hours both in the measured time-dependent height of capillary rise h(t) on the fibre surface and viscous friction coefficient xi(s)(t) felt by the glass fibre in contact with the soap film. A new theoretical approach based on the Onsager variational principle is developed to describe the dynamics of thin film spreading along a fibre. The newly derived equations of motion provide the analytical solutions of h(t) and contact angle theta(t), which are found to be in good agreement with the experimental results. Our work thus provides a common framework for understanding the confinement effect of thin soap films on the dynamics of spreading along a fibre. Keyword capillary flows contact lines thin films DOI 10.1017/jfm.2019.56 Language 英语 Funding Project Hong Kong Research Grants Council[C6004-14G] ; Hong Kong Research Grants Council[16302816] ; Hong Kong Research Grants Council[C1018-17G] ; National Natural Science Foundation of China[11571354] ; National Natural Science Foundation of China[91630208] ; National Natural Science Foundation of China[91641107] ; National Natural Science Foundation of China[21434001] ; National Natural Science Foundation of China[11421110001] ; China Thousand Talents Program WOS Research Area Mechanics ; Physics WOS Subject Mechanics ; Physics, Fluids & Plasmas WOS ID WOS:000459494100001 Publisher CAMBRIDGE UNIV PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/32569 Collection 计算数学与科学工程计算研究所 Corresponding Author Tong, Penger Affiliation 1.Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Clear Water Bay, Hong Kong, Peoples R China2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China3.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China4.Beihang Univ, Interdisciplinary Res Ctr, Beijing 100191, Peoples R China Recommended CitationGB/T 7714 Guo, Shuo,Xu, Xianmin,Qian, Tiezheng,et al. Onset of thin film meniscus along a fibre[J]. JOURNAL OF FLUID MECHANICS,2019,865:650-680. APA Guo, Shuo,Xu, Xianmin,Qian, Tiezheng,Di, Yana,Doi, Masao,&Tong, Penger.(2019).Onset of thin film meniscus along a fibre.JOURNAL OF FLUID MECHANICS,865,650-680. MLA Guo, Shuo,et al."Onset of thin film meniscus along a fibre".JOURNAL OF FLUID MECHANICS 865(2019):650-680.
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