• 作者： Keh, Huan-Jang; Lien, Liang-Cheng
• 中文摘要： 本文分析研究一球形不導電粒子在鄰近於一窮大導電平板時之電泳運動。所施加電場方向垂直於平板,而圍繞粒子表面電雙層之厚度必須遠小於粒子之半徑與球面和平板間之距離。在擬穩定狀態下,吾人利用雙球座標系統解出靜電學與流體力學方程式,並繪出流線,同時求出粒子電泳速度與球半徑和球心平板間距的比值.lambda.之函數關係。由於平板之存在使得粒子電泳可動度降低。在相同.lambda.值下,球形粒子電泳運動所受之邊界效應較無限長之柱形粒子為小。一般來說,鄰近平板對電泳運動的影響較沈降運動為小。
• 英文摘要： An exact analytical study is presented for the electrophoresis of an insulating sphere in the proximity of a large conducting plane. The electric field is exerted perpendicular to the plane wall. The double layers are assumed to be thin with respect to the particle radius and the gap thickness between the solid surfaces. The electrostatic and hydrodynamic governing equations are solved in the quasi-steady limit using spherical bipolar coordinates and the typical streamline pattern is exhibited. Corrections to Smoluchowski's equation for the electrophoretic velocity in an unbounded fluid are determined as a function of .lambda., the ratio of particle radius to distance of particle center from the plane wall. The presence of the wall causes a reduction in the electrophoretic mobility, which goes to zero as.lambda..arrr.1. The boundary effect on the electrophoresis of a sphere is weaker than on an electrophoretic cylinder of the same value of .lambda.. In general, the influence of the wall is much less significant for electrophoresis than for sedimentation.
• 中文關鍵字： 電泳動; 球形介電粒子; 邊際效應; 軸對稱流動; 雙球座標
• 英文關鍵字： Electrophoresis; Dielectric Sphere; Boundary Effect; Axisymmetric Flow; Spherical Bipolar Coordinates