• 作者： Chen, Shing B.; Keh, Huan J.
• 中文摘要： 本文係以理論探討兩介電球形粒子在一沿球心連線方向之外加電場作用下之電泳運動。兩粒子的大小和表面zeta電位可以不同,但圍繞粒子表面電雙層之厚度必須遠小於粒子之半徑與粒子表面間之距離。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。如所預期,當兩球愈接近時,其交互影響愈顯著。如果兩粒子的電性相同但表面電位不等時,電位較小者之速度受另一粒子之影響而加快,電位較大者之速度則變慢。如果兩球表面電性相反,則其速度皆因相互作用而減慢。當二粒子表面極接近時,其間之作用效應大為增強。特別有趣的是,兩相同電位之粒子彼此無交互影響。一般來說,粒子間的交互作用對於小粒子的影響比大粒子明顯。
• 英文摘要： An exact analytical study is presented for the electrophoretic motion of two charged non-conducting spheres along their line of centers in a constant imposed electric field. The particles may differ in radius and/or in zeta potential at the surface. An important assumption is that the thickness of electrical double layers is small relative to the radius of either particle. The electrostatic and hydrodynamic governing equations are solved in the quasistatic limit using bipolar coordinates. As expected, the interaction effect between two particles increases as the separation distance is decreased. The particle with smaller zeta potential is speeded up by the motion of the other, which is retarded at the same time by the motion of the former one, if the two spheres have unequal zeta potentials of the same electrical sign. For two particles of different signs in zeta potential, motions of both are hindered by each other. The interaction between particles can be very strong when the surface-to-surface spacing gets close to zero. Of special interest is the electrophoresis of two spheres with identical zeta potentials in which case there is shown to be no particle interaction for all separation distances. The influence of the interaction between particles in general is stronger on the smaller one than on the larger one.
• 中文關鍵字： 電泳運動; 軸對稱; 介電粒子; 電泳; 電場; 介電球體
• 英文關鍵字： Electrophoretic Motion; Axisymmetry; Dielectric Particles; Electrophoresis; Electric Field; Dielectric Sphere