Hur, VM;
Vanden-Broeck, J-M;
(2020)
A new application of Crapper’s exact solution to waves in constant vorticity flows.
European Journal of Mechanics - B/Fluids
, 83
pp. 190-194.
10.1016/j.euromechflu.2020.04.015.
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Abstract
In 1957, Crapper found an exact solution for capillary waves in an irrotational flow of infinite depth. Here we provide asymptotic and numerical evidence that a Crapper wave makes the profile of a periodic traveling wave in a constant vorticity flow when the effects of gravity and surface tension are negligible. This is achieved by explicitly constructing successive approximate solutions for small amplitude waves and numerically computing arbitrary amplitude waves.
| Type: | Article |
|---|---|
| Title: | A new application of Crapper’s exact solution to waves in constant vorticity flows |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.euromechflu.2020.04.015 |
| Publisher version: | https://doi.org/10.1016/j.euromechflu.2020.04.015 |
| 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: | Free surface flows, Exact solutions, Capillarity (surface tension), Constant vorticity |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices 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.ucl.ac.uk/id/eprint/10106067 |
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