Benjamin-Ono Kadomtsev-Petviashvili’s models in interfacial electro-hydrodynamics

Hunt, M. J., Vanden-Broeck, J.-M., Papageorgiou, D. T. and Parau, E. I. ORCID: https://orcid.org/0000-0001-5134-2068 (2017) Benjamin-Ono Kadomtsev-Petviashvili’s models in interfacial electro-hydrodynamics. European Journal of Mechanics - B/Fluids, 65. pp. 459-463. ISSN 0997-7546

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Abstract

Three-dimensional nonlinear potential free surface flows in the presence of vertical electric fields are considered. Both the effects of gravity and surface tension are included in the dynamic boundary condition. An asymptotic analysis (based on the assumptions of small depth and small free surface displacements) is presented. It is shown that the problem can be modelled by a Benjamin-Ono Kadomtsev-Petviashvili equation. Furthermore a fifth order Benjamin-Ono Kadomtsev-Petviashvili equation is derived to describe the flows in the particular case of values of the Bond number close to 1/3.

Item Type:	Article
Uncontrolled Keywords:	weakly nonlinear waves,electrohydrodynamics
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
Depositing User:	Pure Connector
Date Deposited:	22 Feb 2017 02:23
Last Modified:	07 Nov 2024 12:39
URI:	https://ueaeprints.uea.ac.uk/id/eprint/62670
DOI:	10.1016/j.euromechflu.2017.01.015

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