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Cox-Voinov theory with slip
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Chan, Tak Shing, Kamal, Catherine, Snoeijer, Jacco H., Sprittles, James E. and Eggers, Jens (2020) Cox-Voinov theory with slip. Journal of Fluid Mechanics, 900 . A8. doi:10.1017/jfm.2020.499 ISSN 0022-1120.
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WRAP-Cox-Voinov-theory-with-slip-Sprittles-2020.pdf - Accepted Version - Requires a PDF viewer. Download (983Kb) | Preview |
Official URL: https://doi.org/10.1017/jfm.2020.499
Abstract
Most of our understanding of moving contact lines relies on the limit of small capillary number Ca . This means the contact line speed is small compared to the capillary speed γ/η , where γ is the surface tension and η the viscosity, so that the interface is only weakly curved. The majority of recent analytical work has assumed in addition that the angle between the free surface and the substrate is also small, so that lubrication theory can be used. Here, we calculate the shape of the interface near a slip surface for arbitrary angles, and for two phases of arbitrary viscosities, thereby removing a key restriction in being able to apply small capillary number theory. Comparing with full numerical simulations of the viscous flow equation, we show that the resulting theory provides an accurate description up to Ca≈0.1 in the dip coating geometry, and a major improvement over theories proposed previously.
Item Type: | Journal Article | ||||||||||||||||||
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Subjects: | Q Science > QC Physics | ||||||||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||||||||
Library of Congress Subject Headings (LCSH): | Fluid mechanics, Capillarity, Wetting, Solid-liquid interfaces -- Thermodynamics, Microfluidics | ||||||||||||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||||||||||||
Publisher: | Cambridge University Press | ||||||||||||||||||
ISSN: | 0022-1120 | ||||||||||||||||||
Official Date: | 10 October 2020 | ||||||||||||||||||
Dates: |
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Volume: | 900 | ||||||||||||||||||
Article Number: | A8 | ||||||||||||||||||
DOI: | 10.1017/jfm.2020.499 | ||||||||||||||||||
Status: | Peer Reviewed | ||||||||||||||||||
Publication Status: | Published | ||||||||||||||||||
Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Journal of Fluid Mechanics [http://doi.org/10.1017/jfm.2020.499. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University Press 2020 | ||||||||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||||||||
Copyright Holders: | © The Author(s), 2020. Published by Cambridge University Press | ||||||||||||||||||
Date of first compliant deposit: | 23 June 2020 | ||||||||||||||||||
Date of first compliant Open Access: | 3 February 2021 | ||||||||||||||||||
RIOXX Funder/Project Grant: |
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