KMS Of Academy of mathematics and systems sciences, CAS
| Onset of thin film meniscus along a fibre | |
Guo, Shuo1; Xu, Xianmin2 ; Qian, Tiezheng3; Di, Yana2; Doi, Masao4; Tong, Penger1
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| 2019-04-25 | |
| Source Publication | JOURNAL OF FLUID MECHANICS
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| 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 China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Clear Water Bay, Hong Kong, Peoples R China 4.Beihang Univ, Interdisciplinary Res Ctr, Beijing 100191, Peoples R China |
| Recommended Citation GB/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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