| 静电场驱动下液体薄膜的几何形状 |
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| 引用本文： | E·M·田,T·P·斯沃博德内,J·D·菲利普斯.静电场驱动下液体薄膜的几何形状[J].应用数学和力学,2011,32(8):973-980. |
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| 作者姓名： | E·M·田 T·P·斯沃博德内 J·D·菲利普斯 |
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| 作者单位： | 莱特州立大学 数学与统计学院,代顿,俄亥俄州 45435,美国 |
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| 摘 要： | 利用六边形-俯视图的弱非线性稳定性分析和数值仿真，在电场作用下，研究高分子薄膜表面静态模式的发展过程．在无限空间域上，空间和高分子薄膜之间的界面，由薄膜方程给出其随时间的演变，综合考虑了电力的驱动和表面张力的传播．非线性界面的增长包括:波幅方程的增长，以及在准对规律方向上，一维结构的叠合．模式的选择由亚临界不稳定性机理确定，高分子薄膜的相对厚度在其中起着决定性的作用．
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| 关 键 词： | 薄膜 模式的形成 电流体动力学不稳定性 |
| 收稿时间： | 2011-01-17 |
Thin Liquid Film Morphology Driven by Electro-Static Field |
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| Emily M. Tian,Thomas P. Svobodny,Jason D. Phillips.Thin Liquid Film Morphology Driven by Electro-Static Field[J].Applied Mathematics and Mechanics,2011,32(8):973-980. |
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| Authors: | Emily M Tian Thomas P Svobodny Jason D Phillips |
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| Institution: | Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA |
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| Abstract: | The development of stationary patterns on a thin polymer surface subject to an electric field was studied by means of a hexagonal-planform weakly nonlinear stability analysis and numerical simulations.The time evolution of the interface between air and polymer film on the unbounded spatial domain was described by the thin film equation,incorporating the electric driving force and the surface diffusion.The nonlinear interfacial growth includes the amplitude equations and superposition of one-dimensional stru... |
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| Keywords: | thin film pattern formation electrohydrodynamic instability |
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