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Thin film dynamics in coating problems using Onsager principle
Di, Yana1,2; Xu, Xianmin1,2; Zhou, Jiajia3,4; Doi, Masao4,5
2018-02-01
发表期刊CHINESE PHYSICS B
ISSN1674-1056
卷号27期号:2页码:5
摘要A new variational method is proposed to investigate the dynamics of the thin film in a coating flow where a liquid is delivered through a fixed slot gap onto a moving substrate. A simplified ODE system has also been derived for the evolution of the thin film whose thickness h(f) is asymptotically constant behind the coating front. We calculate the phase diagram as well as the film profiles and approximate the film thickness theoretically, and agreement with the well-known scaling law as Ca-2/3 is found.
关键词Onsager principle thin films coating flows interfacial flows
DOI10.1088/1674-1056/27/2/024501
语种英语
资助项目National Natural Science Foundation of China[91630208] ; National Natural Science Foundation of China[91641107] ; National Natural Science Foundation of China[11771437]
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000426739200001
出版者IOP PUBLISHING LTD
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/29812
专题计算数学与科学工程计算研究所
通讯作者Xu, Xianmin
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Beihang Univ, Sch Chem, Key Lab Bioinspired Smart Interfacial Sci & Techn, Minist Educ, Beijing 100191, Peoples R China
4.Beihang Univ, Ctr Soft Matter Phys & Its Applicat, Beijing 100191, Peoples R China
5.Beihang Univ, Beijing Adv Innovat Ctr Biomed Engn, Beijing 100191, Peoples R China
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Di, Yana,Xu, Xianmin,Zhou, Jiajia,et al. Thin film dynamics in coating problems using Onsager principle[J]. CHINESE PHYSICS B,2018,27(2):5.
APA Di, Yana,Xu, Xianmin,Zhou, Jiajia,&Doi, Masao.(2018).Thin film dynamics in coating problems using Onsager principle.CHINESE PHYSICS B,27(2),5.
MLA Di, Yana,et al."Thin film dynamics in coating problems using Onsager principle".CHINESE PHYSICS B 27.2(2018):5.
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