Minerals Beneficiation - Contribution to the Science of Electrostatic Separation-Dielectric Forces in Inhomogeneous Fields

Theoretical and experimental studies of the interactions of mineral particles with electrical fields of cylindrical symmetry have been made. Theoretically, an expression relating field gradient and intensity to the force experienced by a dielectric particle was derived in a manner paralleling the magnetic analog. Pauthenier's and Cohen's expressions were considered in the evaluation of coulombic forces. Comparison of dielectric and coulombic interactions of minerals exhibiting a wide difference in dielectric susceptibility revealed the potential significance of dielectric forces in a field of appropriate characteristics. Experimentally, apparatus was designed for the study of forces experienced by a single stationary particle in an electrostatic field. This permitted the separate and precise measurement of dielectric interactions in the field. The experimental results were in good agreement with the theory and with relevant published data. Dielectric forces were found of comparable magnitude with coulombic in the presence of an adequate field gradient. Prolonged exposure of minerals to an inhomogeneous field was found to enhance the dielectric response. Dielectric inter- actions properly employed may thus be important in electrostatic concentration techniques. Conventional electrostatic separation techniques employ forces between charged particles and field electrodes to establish the trajectories which effect separation. Uncharged mineral aggregates, although unaffected by homogeneous electrical fields, should respond to fields exhibiting appropriate orientation and electrical gradients. The purpose of this paper is to establish the theoretical and experimental base for the comparison of the forces due to dielectric-field interactions with those of electrostatic origin. Apparatus and techniques developed for the determination of dielectric interactions are described and data on the dielectric forces experienced by stationary particles in cylindrical fields are reported. Finally, a quantitative comparison of dielectric and electrostatic forces is given. THEORY Dielectric Forces: When dielectric particles, minerals for example, are placed in an inhomogeneous field they experience interactions that give rise to substantial dielectric forces.' The latter were shown proportional to the intensity of the field, the potential gradient, the size of the particles and the dielectric permittivity difference between the particles and the medium. The properties of the inhomogeneous field, E, and the magnitude of the gradient, dE/dl, depend on the geometry of the system in question.