直流电渗流在微通道内的控制与仿真研究

双电层是电渗流形成的关键因素,通过分析双电层的产生过程,解释了电渗流的形成机制,探讨了与直流电渗流形成相关的Poisson-Boltzmann方程、Laplace方程及Navier-Stokes三个基本控制方程,并建立了与之相关的数学模型。通过对各控制方程边界条件的分析及合理简化,分别对zeta电势、外加垂直电场电势进行了求解和仿真,并且对zeta电势、外加垂直电场电势进行耦合求解,得到了直流电渗流在微通道内的流速表达式,并分析了微流体的特性参数、zeta电势、外加垂直电场电势对电渗流流速的影响,结果显示通过增加zeta电势可以有效降低微通道两端施加的垂直电场电压。

Study on Control and Simulation of DC Electroosmosis Flow in Microchannel

The electric double layer is the key factor of the electroosmosis flow (EOF). The forming process of the electric double layer was analyzed, and the forming mechanism of the electroosmosis flow was explained. The three basic control equations, Poisson-Boltzmann equation, Laplace equation and Navier-Stokes equation for EOF were explored and the relative mathematic models were presented. With the analysis of boundary conditions for the three equations and the effective simplicity, the zeta potential and outer...