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Forced dewetting in a capillary tube

Published online by Cambridge University Press:  16 November 2018

Peng Gao Open the ORCID record for Peng Gao [Opens in a new window] ,
Ao Liu ,
James J. Feng Open the ORCID record for James J. Feng [Opens in a new window] ,
Hang Ding Open the ORCID record for Hang Ding [Opens in a new window]  and
Xi-Yun Lu Open the ORCID record for Xi-Yun Lu [Opens in a new window]
Peng Gao*
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, China
Ao Liu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
James J. Feng
Affiliation:
Departments of Chemical and Biological Engineering and Mathematics, University of British Columbia, Vancouver, British Columbia V6T 1Z2, Canada
Hang Ding
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
Xi-Yun Lu
Affiliation:
Department of Modern Mechanics, University of Science and Technology of China, Hefei, Anhui 230026, China
*
†Email address for correspondence: gaopeng@ustc.edu.cn
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Abstract

Liquid films can be entrained when the dewetting velocity attains a threshold, and this dynamical wetting transition has been well studied in the situation of plane substrates. We investigate the forced dewetting in a capillary tube using diffuse-interface simulations and lubrication analysis, focusing on the onset of wetting transition and subsequent interface evolution. Results show that the meniscus remains stable when the displacing rate is below a threshold, beyond which film entrainment occurs and eventually leads to the formation of Taylor bubbles separated by liquid slugs, as has also been observed in the recent experiments of Zhao et al. (Phys. Rev. Lett., vol. 120, 2018, 084501). We derive an analytical solution of the critical capillary number, and demonstrate that the wetting transition is accompanied by a vanishing apparent contact angle and an abrupt drop of the contact-line velocity. Both the bubble and slug lengths are found to depend on the capillary number and the wettability of the wall. A theoretical formula for the bubble length is also proposed and compares favourably with numerical and experimental results.

JFM classification

Drops and Bubbles: Bubble dynamics Interfacial Flows (free surface): Capillary flows Interfacial Flows (free surface): Contact lines
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 859 , 25 January 2019 , pp. 308 - 320
Copyright
© 2018 Cambridge University Press 

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