李克強2006-07-252018-06-282006-07-252018-06-282005-10-21http://ntur.lib.ntu.edu.tw//handle/246246/9411本論文探討一膠體粒子垂直於一不帶電平板的電泳運動現象。在此我們解除 過去求解電泳現象的諸多限制，首先於第一年裡求解一任意表面電位下的長直圓 柱運動;並且在第二年更進一步去探討任意外加電場下的運動情形;最後在最後 一年突破以往求解雙球座標單一區間的情形，將原本的計算空間延伸至粒子內 部，進一步利用正交配位法及牛頓-拉福生疊代法求解系統的非線性電場及流場 方程式。 研究結果發現，當電雙層厚度較薄的時候，其電泳速度相對來說比較快，但 是當粒子的表面電位越大，極化效應就越顯得重要。可是當外加電場強度逐漸變 大了以後，其驅動力將超過粒子表面電位造成的極化效應，使得粒子的運動速度 又恢復至正比於電雙層厚度的結果。另外當液滴內外黏度比愈小，液滴內部的拖 曳力越小，其電泳速度隨之增加，反之當內外黏度比越大的時候，其電泳速度越 接近硬球膠體粒子的結果。此外，發現平板的邊界效應在電雙層厚度很大或是粒 子離平板越靠近的時候相當明顯，尤其粒子太接近平板的時候會因為電雙層的變 形而使得電泳速度異號，亦即電泳運動受邊界影響甚為重要。The electrophoretic behavior of the spherical, non-conducting particle normal to a plane is investigated in this study. We separate this system into three topics. In the first year, we consider the electrophoresis of a long cylindrical particle with an arbitrary zeta potential normal to the plane. Moreover, we find the electrophoretic behavior under the arbitrary applied field in the second year. Finally, with the aid of orthogonal collocation method and bipolar coordinates, we extend previous analyses in that the flow field inside the spherical particle can not be neglected, and the electric double layer thickness for the particle is arbitrary. We find that the electrophoretic mobility of the particle is affected by some factors: double layer thickness, zeta potential, the strength of applied field, the viscosity ratio between the fluid inside and outside the liquid drop, and the distance to the solid plane. We find that the magnitude of the scaled electrophoretic mobility increases with the decrease of double layer thickness. However, the polarization effect must be considered when the magnitude of zeta potential is large. Besides, the mobility will increase with the decrease of viscosity ratio. This is because the flow inside the drop enhances the hydrodynamic drag on the liquid drop. In addition, we find that the closer the particle to the plane, the more significant the distortion of electric double layer. The electrophoretic mobility becomes slower.application/pdf1325028 bytesapplication/pdfzh-TW國立臺灣大學化學工程學系暨研究所電泳現象雙球座標電雙層正交配位法electrophoresisnormal to a planeboundary effectnumerical methodreporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/9411/1/932214E002003.pdf