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

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

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

机译：Benjamin-Ono Kadomtsev-Petviashvili在界面电流动动力学中的模型

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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. (C) 2017 Elsevier Masson SAS. All rights reserved.

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来源
《European Journal of Mechanics, B. Fluids》 |2017年第2017期|共5页
作者
Hunt M. J.; Vanden-Broeck J-M.; Papageorgiou D. T.; Parau E. I.;
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作者单位

Univ Bath Dept Mech Engn Bath BA2 7AY Somerset England;

UCL Dept Math London WC1E 6BT England;

Imperial Coll Dept Math London SW7 2AZ England;

Univ East Anglia Sch Math Norwich NR4 7TJ Norfolk England;

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原文格式 PDF
正文语种 eng
中图分类理论力学（一般力学）;
关键词
Weakly nonlinear waves; Electrohydrodynamics;

机译：弱非线性波;电力学动力学;

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

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