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Blyth, Mark G. and Părău, Emilian I. 
ORCID: https://orcid.org/0000-0001-5134-2068
(2022)
Stability of waves on fluid of infinite depth with constant vorticity.
Journal of Fluid Mechanics, 936.
ISSN 0022-1120
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Abstract
The stability of periodic travelling waves on fluid of infinite depth is examined in the presence of a constant background shear field. The effects of gravity and surface tension are ignored. The base waves are described by an exact solution that was discovered recently by Hur and Wheeler (J. Fluid Mech., vol. 896, 2020). Linear growth rates are calculated using both an asymptotic approach valid for small-amplitude waves and a numerical approach based on a collocation method. Both superharmonic and subharmonic perturbations are considered. Instability is shown to occur for any non-zero amplitude wave.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | free-surface flows,condensed matter physics,mechanics of materials,mechanical engineering ,/dk/atira/pure/subjectarea/asjc/3100/3104 |
| Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures |
| Related URLs: | |
| Depositing User: | LivePure Connector |
| Date Deposited: | 27 Jan 2022 09:03 |
| Last Modified: | 07 Nov 2024 12:44 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/83174 |
| DOI: | 10.1017/jfm.2022.104 |
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