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在通道壁面垂直施加一个调控电场可以改变双电层电荷密度和Zeta电位势,实现对电渗流的调控。采用离子输运Nernst-Planck方程、液体流动Navier-Stokes方程、以及介电层-电解液耦合双电层Poisson方程,数值求解外加均匀调控电压下微纳米通道的电渗流动,得到表面Zeta电位势、电渗流速度与外加调控电压的关系特性。数值解与基于Poisson-Boltzmann方程双电层弱重叠近似和双电容串联模型的解析解相对比,进一步研究了控制外加调控电压以及控制电渗流的方法。
Applying a regulated electric field perpendicular to the channel wall can change the electric double layer charge density and Zeta potential to control the electroosmotic flow. The ion transport Nernst-Planck equation, liquid flow Navier-Stokes equation, and dielectric-electrolyte coupled electric double-layer Poisson equation were used to numerically solve the electroosmotic flow of the micro / nanochannels under uniformly applied voltage. The surface Zeta potential , The relationship between the electroosmotic flow velocity and the applied regulation voltage. The numerical solution is compared with the analytic solution based on Poisson-Boltzmann equation of double-layer weak overlap approximation and dual-capacitor tandem model. The methods of controlling applied voltage and controlling electroosmotic flow are further studied.