Dalwadi, MP;
Cimpeanu, R;
Ockendon, H;
Ockendon, J;
Mullin, T;
(2021)
Levitation of a cylinder by a thin viscous film.
Journal of Fluid Mechanics
, 917
, Article A28. 10.1017/jfm.2021.284.
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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 the belt speed and cylinder rotation rate, which we successfully compare with experimental results.
| Type: | Article |
|---|---|
| Title: | Levitation of a cylinder by a thin viscous film |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2021.284 |
| Publisher version: | https://doi.org/10.1017/jfm.2021.284 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher's terms and conditions. |
| Keywords: | boundary layer structure, thin films, lubrication theory |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10135050 |
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