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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >Electrostatics of conductive particles in contact with a plate electrode affected by a non-uniform electric field
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Electrostatics of conductive particles in contact with a plate electrode affected by a non-uniform electric field

机译：受到非均匀电场影响的与平板电极接触的导电颗粒的静电

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Analytical formulae are available for the estimation of the electric forces on conductive bodies of regular shape (spherical, hemi-spherical, hemi-ellipsoidal, cylindrical) in contact with a plate electrode affected by a uniform electric field. The electrode arrangements employed in some electrostatic processes generate non-uniform electric fields for which no such formulae can be derived. The aim of this paper is to demonstrate the usefulness of numerical techniques for the evaluation of the electric forces that act on conductive particles of any shape in contact with electrodes affected by such fields. A computer program based on the boundary element method was employed for analysing the behaviour of conductive cylinders in a two-dimensional electrode arrangement that models the actual electric field configuration of a plate-type electrostatic separator: a cylindrical high-voltage electrode, parallel to a grounded plate. The numerical results are in good agreement with the theoretical predictions for a simple case in which the electric force can be analytically expressed using the electric image method. The computer program enabled the evaluation of the effect of field non-uniformity on the magnitude of the electric force acting on single particles, in various positions on the surface of the plate electrode. In most of the actual applications, several particles are simultaneously in contact with the charging electrode. Therefore, the study was extended to the situation of several equally spaced cylindrical bodies in contact with the plate electrode. The output data of the computer program were used for a crude evaluation of the conditions in which conductive particles of different size and specific mass detach become detached from an inclined plane under the action of the electric force. In this way, numerical modelling could guide the feasibility studies and laboratory tests that are needed for the development of any new application of the electrostatic separation method. Several simple experiments on graphite cylinders (radii: 0.25, 0.35 and 0.45 mm) confirmed the numerical simulations. With a program for three-dimensional analysis of the electric field, the computational procedure presented in this paper could be employed for any electrode configuration and any particle shape. [References: 17]
机译：解析公式可用于估算与受均匀电场影响的平板电极接触的规则形状（球形，半球形，半椭圆形，圆柱形）的导电体上的电场力。在某些静电过程中使用的电极装置会产生不均匀的电场，因此无法导出此类公式。本文的目的是证明数值技术对评估作用在与受此电场影响的电极接触的任何形状的导电颗粒上的电场力的有用性。使用基于边界元方法的计算机程序来分析二维电极排列中的导电圆柱体的行为，该电极模拟板型静电分离器的实际电场配置：圆柱形高压电极，平行于接地板。数值结果与简单情况下的理论预测非常吻合，在这种情况下，可以使用电成像方法来解析地表达电力。该计算机程序能够评估板电极表面上各个位置的电场不均匀性对作用在单个颗粒上的电的大小的影响。在大多数实际应用中，几个粒子同时与充电电极接触。因此，研究扩展到与平板电极接触的几个等距圆柱体的情况。该计算机程序的输出数据被用于粗略评估条件，在该条件下，在电力的作用下，不同大小和特定质量的导电颗粒从倾斜平面上脱离。这样，数值建模可以指导进行静电分离方法的任何新应用开发所需的可行性研究和实验室测试。在石墨圆柱上进行的几个简单实验（半径：0.25、0.35和0.45 mm）证实了数值模拟。借助用于电场的三维分析的程序，本文介绍的计算程序可用于任何电极配置和任何粒子形状。 [参考：17]

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