由於電滲泵目前已廣泛用於生物醫葯分析技術驅動流體的功能上，近來更在微電子冷卻技術中流體推動佔相當的重要性。本文以數值模擬探討在電滲泵中多孔介質微流道的電滲流，使用的物理模式包括：1) 描述電雙層分佈的Poisson-Boltzmann方程式，2) 描述外加電場電位勢分佈之Laplace方程式，3) 描述多孔介質流道下的電滲流之包含電驅動力及微觀的黏滯剪應力及多孔介質微結構的幾何效應的修正型Navier-Stokes的方程式，幾何外形為二維軸對稱微毛細圓管。 本文除了驗証Rice和Whitehead的解析解，並與Yao和Santiago的實驗數據做比較。文中對主導電滲流在多孔介質的特性的壁面及多孔介質的介面電位勢比值做詳細探討，發現其比值為正的流速分佈和比例為負值時有明顯差異。若以圓毛細管塞入球形粒子仿多孔介質流道的數值模擬，可有效修正Yao和Santiago以多根圓毛細管捆束後類多孔介質流道之解析解對於流率及壓力高估的問題。從文中得知電解液離子濃度會影響電雙層厚度，離子濃度愈高，電滲流流速愈快；其它如多孔介質間之孔隙流道大小、外加電場強度、入口壓力、壁面及多孔介質間介面電位勢都會影響電滲流流速的增減。 The electroosmotic (EO) pump has been widely used in driving and controlling microfluidics in the biomedical and biochemical applications, and it is being used for cooling liquid transportation in the micro cooler in electronics industry recently. The physical models of present numerical study are based on 1) the Poisson-Boltzmann equation for electrical double layer (EDL) potential, 2) the Laplace equation for the externally applied electrostatic field, and 3) the Navier-Stokes equation modified to account for the electro-kinetic body force and porous media effect. This study numerically analyzed various flow characteristics of porous media within the EO pump. We first validated the EO flow in a micro circular capillary tube with theory, and then developed a model for embedded micro particles into a circular capillary tube to mimic the porous media channels in a realistic EO pump. We have thoroughly investigated the effect of the ratio of zeta potential at wall to zeta potential of particles, which is a dominant factor for affecting the characteristics EO flow within the porous media. Numerical solution agrees with analytical solutions and it also compare with available experiment data, this modified model can effectively correct overestimated values of flowrate and back pressure in previous analytical model. We found many factors affect the EO flow within the porous media; these factors are the ion concentration, the pore size of porous media channel, the applied electrical field and the zeta potential.
