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Levitation of a cylinder by a thin viscous film
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Dalwadi, Mohit P., Cimpeanu, Radu, Ockendon, Hilary , Ockendon, John and Mullin, Tom (2021) Levitation of a cylinder by a thin viscous film. Journal of Fluid Mechanics, 917 . A28. doi:10.1017/jfm.2021.284 ISSN 0022-1120.
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Official URL: https://doi.org/10.1017/jfm.2021.284
Abstract
When a horizontal cylinder is placed on a vertically moving belt coated with a thin layer of viscous fluid, experiments reveal that, at a specific belt velocity, the cylinder can be levitated at a fixed height while rotating around its own axis at an a priori unknown rate.
We develop and solve a model for this experiment, using a combination of asymptotic analysis and direct numerical simulation. We obtain a relationship between belt speed and cylinder rotation rate which we successfully compare with experimental results.
Item Type: | Journal Article | ||||||||
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Alternative Title: | |||||||||
Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Lubrication and lubricants, Viscous flow, Fluid-film bearings, Fluid mechanics -- Mathematical models, Thin films -- Mechanical properties, Thin films, Coating processes, Asymptotic expansions | ||||||||
Journal or Publication Title: | Journal of Fluid Mechanics | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0022-1120 | ||||||||
Official Date: | 25 June 2021 | ||||||||
Dates: |
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Volume: | 917 | ||||||||
Article Number: | A28 | ||||||||
DOI: | 10.1017/jfm.2021.284 | ||||||||
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 https://doi.org/10.1017/jfm.2021.284. This version is published under a Creative Commons CC-BY-NC-ND. No commercial re-distribution or re-use allowed. Derivative works cannot be distributed. © copyright holder. | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © The Author(s), 2021. Published by Cambridge University Press | ||||||||
Date of first compliant deposit: | 30 March 2021 | ||||||||
Date of first compliant Open Access: | 26 October 2021 | ||||||||
RIOXX Funder/Project Grant: |
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