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Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields

Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields

Doak, A, Gao, T ORCID: 0000-0002-6425-1568, Vanden-Broeck, J-M and Kandola, J J S (2020) Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields. Quarterly Journal of Mechanics and Applied Mathematics. ISSN 0033-5614 (Print), 1464-3855 (Online) (In Press) (doi:https://doi.org/10.1093/qjmam/hbaa009)

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Abstract

In this paper, we consider capillary-gravity waves propagating on the interface of two dielectric fluids under the influence of normal electric fields. The density of the upper fluid is assumed to be much smaller than the lower one. Linear and weakly nonlinear theories are studied. The connection to the results in other limit configurations is discussed. Fully nonlinear computations for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves, solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary waves is discussed in detail.

Item Type: Article
Uncontrolled Keywords: free surface, solitary waves, electrohydrodynamics
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Liberal Arts & Sciences
Faculty of Liberal Arts & Sciences > Department of Mathematical Sciences
Last Modified: 30 Jun 2020 14:37
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
Selected for REF2021: None
URI: http://gala.gre.ac.uk/id/eprint/26071

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