Benjamin–Ono Kadomtsev–Petviashvili's models in interfacial electro-hydrodynamics

M. J. Hunt; J.-M. Vanden-Broeck; D. T. Papageorgiou; E. I. Parau

doi:10.1016/j.euromechflu.2017.01.015

Benjamin–Ono Kadomtsev–Petviashvili's models in interfacial electro-hydrodynamics

M. J. Hunt, J.-M. Vanden-Broeck, D. T. Papageorgiou, E. I. Parau

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

13 Citations (SciVal)

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.

Original language	English
Pages (from-to)	459-463
Number of pages	5
Journal	European Journal of Mechanics, B/Fluids
Volume	65
Early online date	14 Feb 2017
DOIs	https://doi.org/10.1016/j.euromechflu.2017.01.015
Publication status	Published - 1 Sept 2017

Keywords

Electrohydrodynamics
Weakly nonlinear waves

ASJC Scopus subject areas

Mathematical Physics
General Physics and Astronomy

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10.1016/j.euromechflu.2017.01.015

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title = "Benjamin–Ono Kadomtsev–Petviashvili's models in interfacial electro-hydrodynamics",

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.",

keywords = "Electrohydrodynamics, Weakly nonlinear waves",

author = "Hunt, {M. J.} and J.-M. Vanden-Broeck and Papageorgiou, {D. T.} and Parau, {E. I.}",

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T1 - Benjamin–Ono Kadomtsev–Petviashvili's models in interfacial electro-hydrodynamics

AU - Hunt, M. J.

AU - Vanden-Broeck, J.-M.

AU - Papageorgiou, D. T.

AU - Parau, E. I.

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

AB - 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.

KW - Electrohydrodynamics

KW - Weakly nonlinear waves

UR - http://www.scopus.com/inward/record.url?scp=85015279877&partnerID=8YFLogxK

U2 - 10.1016/j.euromechflu.2017.01.015

DO - 10.1016/j.euromechflu.2017.01.015

M3 - Article

AN - SCOPUS:85015279877

SN - 0997-7546

VL - 65

SP - 459

EP - 463

JO - European Journal of Mechanics, B/Fluids

JF - European Journal of Mechanics, B/Fluids

ER -

Benjamin–Ono Kadomtsev–Petviashvili's models in interfacial electro-hydrodynamics

Abstract

Keywords

ASJC Scopus subject areas

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