Instability of electric field induced pattern formation in thin liquid films
This paper addresses some nonlinear problems arising from the thin film pattern formation induced by electric field. The physical setup is a thin liquid film confined between two electrodes, separated by an air gap from the top mask electrode. The objective is to study the dependence of the interfacial morphology on certain parameters. The mathematical model consists of thin film equation incorporated with the effects of electrical stress and surface tension. In the long-wavelength limit, a single interface evolution equation is derived. The thickness ratio of the air gap to the liquid is believed to play a critical role.
Emily M. Tian
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
1086-1091
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）