A semianalytical solution of periodical electro-osmosis in a rectangular microchannel
A semianalytical solution of periodical electro-osmosis in a rectangular microchannel
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DOI：
10.1063/1.2784532
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发表时间：
2007-12
影响因子：
4.6
通讯作者：
Xianming Wang;Bo‐Cong Chen;Jian-kang Wu
中科院分区：
文献类型：
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作者：
Xianming Wang;Bo‐Cong Chen;Jian-kang Wu
本文提出了一种基于非线性泊松-玻尔兹曼方程和纳维-斯托克斯方程的半解析解，用于研究矩形微通道中周期性电渗的流动行为。分析结果表明，周期性电渗的速度很大程度上取决于雷诺数Re=ωH2∕ν、双电层的性质以及所施加的电场。当雷诺数较低时，周期性电渗的速度幅值与稳态电渗的速度幅值相同，呈现方形塞状轮廓。当雷诺数较高时，周期性电渗速度从固体壁到通道中心迅速减小，并随时间变化呈现碗状速度剖面。研究还发现，随着雷诺数的增加，周期性电渗的滑移速度及其在微通道中的瞬时流量降低。本文还给出了数值解，它们非常一致......
This paper presents a semianalytical solution to study the flow behavior of periodical electro-osmosis in a rectangular microchannel based on a nonlinear Poisson–Boltzmann equation and Navier–Stokes equation. The analytical results indicate that the velocity of periodical electro-osmosis strongly depends on the Reynolds number Re=ωH2∕ν, the properties of electric double layer, and the applied electric field. When the Reynolds number is low, the velocity amplitude of periodical electro-osmosis is the same as that of steady electro-osmosis, and it shows a square plug-like profile. When the Reynolds number is high, the velocity of periodical electro-osmosis decreases rapidly from the solid wall to the channel center, and it shows a bowl-like velocity profile varying with time. It is also found that the slip velocity of periodical electro-osmosis and its instantaneous flow rate in a microchannel decrease as the Reynolds number increases. Numerical solutions are also given in this paper, which are in good agre...