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首页> 外文期刊>Journal of Microelectromechanical Systems >Two-Dimensional Analysis of Electrokinetically Driven Out-of-Plane Vortices in a Microchannel Liquid Flow Using Patterned Surface Charge
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Two-Dimensional Analysis of Electrokinetically Driven Out-of-Plane Vortices in a Microchannel Liquid Flow Using Patterned Surface Charge

机译：使用带图案的表面电荷在微通道液流中电动驱动平面外涡旋的二维分析

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摘要

The technology developed for photolithographically patterning the electric surface charge to be negative, positive, or neutral enables the realization of complex liquid flows even in straight and uniform microchannels with extremely small Reynolds number. A theoretical model to analyze a steady incompressible electrokinetically driven two-dimensional liquid flow in a microchannel with an inhomogeneous surface charge under externally applied electric field is derived. The flow field is obtained analytically by solving the biharmonic equation with the Helmholtz-Smoluchowski slip boundary condition using the Fourier series expansion method. The model has been applied to study three basic out-of-plane vortical flow fields: single vortex and a train of corotating and a series of counterrotating vortex pairs. For model verification, the solution for the single vortex has been tested against numerical computations based on the full Navier-Stokes equations revealing the dominant control parameters. Two interesting phenomena have been observed in out-of-plane multivortex dynamics: merging of corotating vortices and splitting of counterrotating vortices. The criteria for the onset of both phenomena are discussed
机译：用于将表面电荷光刻成负，正或中性的光刻技术，即使在雷诺数非常小的直且均匀的微通道中，也能实现复杂的液体流动。推导了一个理论模型，用于分析在外部施加电场下具有不均匀表面电荷的微通道中稳定的不可压缩电动驱动的二维液体流动。通过使用傅里叶级数展开法用Helmholtz-Smoluchowski滑移边界条件求解双调和方程来解析地获得流场。该模型已用于研究三个基本的平面外涡流场：单个涡旋和同向旋转序列以及一系列反向旋转的涡旋对。为了进行模型验证，已针对基于完整Navier-Stokes方程的数值计算对单涡旋的解进行了测试，揭示了主要的控制参数。在平面外多重旋涡动力学中观察到两个有趣的现象：同向旋涡的合并和反向旋涡的分裂。讨论了两种现象发作的标准

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