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Dynamic drying transition via free-surface cusps
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Kamal, Catherine, Sprittles, James E., Snoeijer, Jacco and Eggers, Jens (2019) Dynamic drying transition via free-surface cusps. Journal of Fluid Mechanics, 858 . pp. 760-786. doi:10.1017/jfm.2018.794 ISSN 0022-1120.
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Official URL: https://doi.org/10.1017/jfm.2018.794
Abstract
We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds of order unity, a near-cusp forms due to the presence of a moving contact line. The radius of curvature of the cusp’s tip scales with the slip length multiplied by an exponential of . The pressure from the air flow drawn inside the cusp leads to a bifurcation, at which air is entrained, i.e. there is ‘wetting failure’. We develop an analytical theory of the threshold to air entrainment, which predicts the critical capillary number to depend logarithmically on the viscosity ratio, with corrections coming from the slip in the gas phase.
Item Type: | Journal Article | |||||||||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics T Technology > TC Hydraulic engineering. Ocean engineering |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
Library of Congress Subject Headings (LCSH): | Contact manifolds , Gas-liquid interfaces, Open-channel flow | |||||||||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | |||||||||||||||
Publisher: | Cambridge University Press | |||||||||||||||
ISSN: | 0022-1120 | |||||||||||||||
Official Date: | 10 January 2019 | |||||||||||||||
Dates: |
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Volume: | 858 | |||||||||||||||
Page Range: | pp. 760-786 | |||||||||||||||
DOI: | 10.1017/jfm.2018.794 | |||||||||||||||
Status: | Peer Reviewed | |||||||||||||||
Publication Status: | Published | |||||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||||||||
Date of first compliant deposit: | 9 November 2018 | |||||||||||||||
Date of first compliant Open Access: | 2 January 2019 | |||||||||||||||
RIOXX Funder/Project Grant: |
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