Onset of thin film meniscus along a fibre

doi:10.1017/jfm.2019.56

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Onset of thin film meniscus along a fibre
	Guo, Shuo 1; Xu, Xianmin2 ; Qian, Tiezheng 3; Di, Yana2 ; Doi, Masao 4; Tong, Penger 1
刊名	JOURNAL OF FLUID MECHANICS
	2019-04-25
卷号	865 页码:650-680
关键词	capillary flows contact lines thin films
ISSN号	0022-1120
DOI	10.1017/jfm.2019.56
英文摘要	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.
资助项目	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研究方向	Mechanics ; Physics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000459494100001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/32568]
专题	计算数学与科学工程计算研究所
通讯作者	Tong, Penger
作者单位	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
推荐引用方式 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.