Electrophoretic Behavior of a Spherical Liquid Drop Normal to a plane
Date Issued
2005
Date
2005
Author(s)
Lou, Shih-Han
DOI
zh-TW
Abstract
The electrophoretic behavior of the spherical, non-conducting liquid drop normal to a plane is investigated in this study. We separate the physical region into two mathematical domains. With the aid of orthogonal collocation method and bipolar coordinates, the present study extends 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 spherical drop is affected by two factors: the viscosity ratio between the fluid inside and outside the liquid drop, and the distance to the solid plane. Without considering the polarization effect, the magnitude of the scaled electrophoretic mobility increases with the decrease of viscosity ratio. This is because the flow inside the drop enhances the hydrodynamic drag on the liquid drop. It is also very interesting that the electrophoresis of the liquid drop will be very similar to the colloid particle if the viscosity ratio is very large. Besides, we find that the closer the particle to the plane, the more significant the distortion of electric double layer. The electrophoretic mobility becomes slow.
Subjects
液滴
電泳現象
雙球座標
電雙層
正交配位法
liquid drop
electrophoresis
normal to a plane
boundary effect
numerical method
Type
thesis
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