【摘要】 以实现CPU的温度控制、提高微流体的流动速度为目标 ,对电渗流的机理进行了分析 .应用无网格算法对Laplace方程、Poisson Boltzmann方程、Navier Stokes方程进行数值求解 ,得到的数值仿真结果与解析近似解吻合较好 .对微直管内的微流体的流动进行了仿真 ,再现了微流体流动的驱动过程 ,并讨论了微流体的流动速度与外加垂直电场的电势和ζ电势的相关性 .本文的数学模型不仅可以仿真几何形状简单的微直管内微流体的驱动过程 ,也可仿真几何形状复杂、ζ电势较大条件下的微直管内微流体的流动 ,为电渗流微泵的设计提供了仿真模型更多还原

【Abstract】 Mathematical models are set up for the electro osmotic pump in this paper. The meshless algorithm is used to solve the Laplace equation, Poisson Boltzmann equation and Navier Stokes equations. The numerical results agree well with the closed form solution under low ζ potential, which proves the validity of the numerical solution. The simulation also uncovers the driven process of the micro flow. It is demonstrated that the flat flow can be formed in a straight micro tube acted by the external voltage. The flow rate is proportional to the external voltage and the ζ potential. This model can be used to analyze the micro pumps with complex geometrical shapes.更多还原