Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field
Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field
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法向电场下有限深度介电流体上的毛细管重力波
DOI：
10.1016/j.euromechflu.2019.04.007
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发表时间：
2019-09-01
影响因子：
2.6
通讯作者：
Wang, Zhan
中科院分区：
文献类型：
--
作者：
Gao, Tao;Doak, Alex;Wang, Zhan
在这项工作中，我们考虑了二维毛细重力波在垂直电场的影响下在有限深度的电介质上传播，该电介质上方由完美导电且流体动力学被动流体限制。发展了线性和弱非线性理论，并基于狄利克雷-诺伊曼算子的解析性推导了长波模型方程。完全非线性计算是通过使用依赖时间的共形映射方法来执行的。发现了孤立波，并对其在纵向扰动下的稳定性特性进行了数值研究。稳定孤立波的脱落是通过在自由表面上以接近相速度最小值的速度移动高斯压力并在一段时间后消除压力来实现的。新的结果表明，孤立波激励中同时存在凹陷亮孤立波和仰角广义孤立波。 (C) 2019 Elsevier Masson SAS。版权所有。
In this work we consider two-dimensional capillary-gravity waves propagating under the influence of a vertical electric field on a dielectric of finite depth bounded above by a perfectly conducting and hydrodynamically passive fluid. Both linear and weakly nonlinear theories are developed, and long-wave model equations are derived based on the analyticity of the Dirichlet-Neumann operator. Fully nonlinear computations are carried out by using a time-dependent conformal mapping method. Solitary waves are found, and their stability characteristics subject to longitudinal perturbations are studied numerically. The shedding of stable solitary waves is achieved by moving a Gaussian pressure on the free surface with the speed close to a phase speed minimum and removing the pressure after a period of time. The novel result shows that a depression bright solitary wave and an elevation generalized solitary wave co-exist in the solitary-wave excitation. (C) 2019 Elsevier Masson SAS. All rights reserved.