Particle-surface interactions in a uniform electric field
Particle-surface interactions in a uniform electric field
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均匀电场中的颗粒-表面相互作用
DOI：
10.1103/physreve.106.034607
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发表时间：
2022
影响因子：
2.4
通讯作者：
Vlahovska, Petia M.
中科院分区：
文献类型：
--
作者：
Wang, Zhanwen;Miksis, Michael J.;Vlahovska, Petia M.
本文计算了均匀电场作用于平面附近的球形粒子时，粒子所受的静电力。假设颗粒和悬浮介质是弱导电的，因此漏电介质模型适用。在双极坐标系下求解了电势的拉普拉斯方程，并将电势用勒让德多项式的级数展开式表示。作用在粒子上的力是用麦克斯韦张量计算的。我们发现，在正常的电场，这对应于一个粒子附近的电极的情况下，力总是有吸引力的，但在一个给定的分离，它的变化与粒子悬浮介质的电导率比非平凡的;在一个粒子上的力，这是比悬浮介质更导电的是大得多相比，在一个粒子上的力比悬浮介质导电。在切向电场的情况下，对应于绝缘边界附近的粒子，力总是排斥的。
The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to be weakly conducting, so that that the leaky dielectric model applies. The Laplace equation for the electric potential is solved in bipolar coordinate system and the potential is obtained in terms of a series expansion of Legendre polynomials. The force on the particle is calculated using the Maxwell tensor. We find that in the case of normal electric field, which corresponds to a particle near an electrode, the force is always attractive but at a given separation it varies nontrivially with particle-suspending medium conductivity ratio; the force on a particle that is more conducting than the suspending medium is much larger compared to the force on a particle less conducing than the suspending medium. In the case of tangential electric field, which corresponds to a particle near an insulating boundary, the force is always repulsive.