Stability of waves on fluid of infinite depth with constant vorticity

Blyth, Mark G. and Părău, Emilian I. ORCID: (2022) Stability of waves on fluid of infinite depth with constant vorticity. Journal of Fluid Mechanics, 936. ISSN 0022-1120

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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
UEA Research Groups: Faculty of Science > Research Groups > Fluid and Solid Mechanics
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Depositing User: LivePure Connector
Date Deposited: 27 Jan 2022 09:03
Last Modified: 22 Oct 2022 17:32
DOI: 10.1017/jfm.2022.104


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