Bifurcation mechanism of interfacial electrohydrodynamic gravity-capillary waves near the minimum phase speed under a horizontal electric field

• 作者: Gexing Xu Zhi Lin
• 来源期刊: 力学快报（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: Fluid Mechanics
• 页码范围: 70-76
• 页数: 7页
• 语种: 英文
• DOI: 10.3969/j.issn.2095-0349.2021.02.002

摘要

We investigate the evolution of interfacial gravity-capillary waves propagating along the interface be- tween two dielectric fluids under the action of a horizontal electric field. There is a uniform background flow in each layer, and the relative motion tends to induce Kelvin–Helmholtz (KH) instability. The com- bined effects of gravity, surface tension and electrically induced forces are all taken into account. Under the short-wave assumption, the expansion and truncation method of Dirichlet-Neumann (DN) operators is applied to derive a reduced dynamical model. When KH instability is suppressed linearly by a consider- ably large electric field, our numerical results reveal that in certain regions of parameter space, nonlinear symmetric traveling wave solutions can be found near the minimum phase speed. Additionally, the de- tailed bifurcation structures are presented together with typical wave profiles.