锐界面极限中的动电不稳定性：垂直电场情况
Electrokinetic instability in the sharp interface limit: The perpendicular electric field case
摘要：
本文分析了在垂直于界面的电场作用下，两种具有相同力学性质但电导率不同的可混溶液体界面处的不稳定性。平行电场的情况下，被认为是在以前的工作[1]。一个尖锐的欧拉界面被认为是两个可混溶的液体之间。线性稳定性分析导致不稳定临界条件的解析解。分析了失稳的机理。讨论了垂直和平行电场情况之间的主要区别。微通道几何形状的影响进行了研究，并确定了相关的无量纲参数。
英文摘要：
In this paper, instability at an interface between two miscible liquids with identical mechanical properties but different electrical conductivities is analyzed in the presence of an electric field that is perpendicular to the interface. A parallel electric field case was considered in a previous work [1]. A sharp Eulerian interface is considered between the two miscible liquids. Linear stability analysis leads to an analytic solution for the critical condition of instability. The mechanism of instability is analyzed. Key differences between the perpendicular and parallel electric field cases are discussed. The effect of a microchannel geometry is studied and the relevant non-dimensional parameters are identified.
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