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Special Issue:
SPECIAL TOPIC — Soft matter and biological physics
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| SPECIAL TOPIC—Soft matter and biological physics |
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Thin film dynamics in coating problems using Onsager principle |
| Yana Di(邸亚娜)1,2, Xianmin Xu(许现民)1,2, Jiajia Zhou(周嘉嘉)3,4, Masao Doi4,5 |
1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;
2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China;
3. Key Laboratory of Bio-Inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University, Beijing 100191, China;
4. Center of Soft Matter Physics and Its Applications, Beihang University, Beijing 100191, China;
5. Beijing Advanced Innovation Center for Biomedical Engineering, Beihang University, Beijing 100191, China |
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Abstract 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 hf 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 Ca2/3 is found.
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Received: 28 September 2017
Revised: 05 January 2018
Accepted manuscript online:
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PACS:
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45.10.Db
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(Variational and optimization methods)
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68.15.+e
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(Liquid thin films)
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47.85.mb
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(Coating flows ?)
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47.55.N-
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(Interfacial flows)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 91630208, 91641107, and 11771437). |
Corresponding Authors:
Xianmin Xu
E-mail: xmxu@lsec.cc.ac.cn
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| About author: 45.10.Db; 68.15.+e; 47.85.mb; 47.55.N- |
Cite this article:
Yana Di(邸亚娜), Xianmin Xu(许现民), Jiajia Zhou(周嘉嘉), Masao Doi Thin film dynamics in coating problems using Onsager principle 2018 Chin. Phys. B 27 024501
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| [1] |
Weinstein S J and Ruschak K J 2004 Ann. Rev. Fluid Mech. 36 29
|
| [2] |
Bonn D, Eggers J, Indekeu J, Meunier J and Rolley E 2009 Rev. Mod. Phys. 81 739
|
| [3] |
de Gennes P G, Brochard-Wyart F and Quéré D 2004 Capillarity and Wetting Phenomena:Drops, Bubbles, Pearls, Waves (New York:Springer)
|
| [4] |
Landau L D and Levich B V 1942 Acta Physicochim. URSS 17 42
|
| [5] |
Bretherton F P 1961 J. Fluid Mechan. 10 166
|
| [6] |
Aussillous P and Quéré D 2000 Phys. Fluids 12 2367
|
| [7] |
Rio E and Boulogne F 2017 Advances in Colloid and Interface Science 247 100
|
| [8] |
Doi M 2011 J. Phys.:Condens. Matter 23 284118
|
| [9] |
Doi M 2013 Soft Matter Physics (Oxfort:Oxfort University Press)
|
| [10] |
Doi M 2015 Chin. Phys. B 24 020505
|
| [11] |
Meng F, Doi M and Ouyang Z 2014 Phys. Rev. Lett. 113 098301
|
| [12] |
Meng F, Luo L, Doi M and Ouyang Z 2016 Eur. Phys. J. E 39 22
|
| [13] |
Man X and Doi M 2016 Phys. Rev. Lett. 116 066101
|
| [14] |
Di Y, Xu X and Doi M 2016 Europhys. Lett. 113 36001
|
| [15] |
Xu X, Di Y and Doi M 2016 Phys. Fluids 28 087101
|
| [16] |
Zhou J, Jiang Y and Doi M 2017 Phys. Rev. Lett. 118 108002
|
| [17] |
Man X and Doi M 2017 Phys. Rev. Lett. 119 044502
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