A Study on the Charging of Fine Particle in External Electric Field and Ion Flow — Discussion on the Calculation Technique of Liu-Kapadia's Charging Theory —

Abstract

In an external field and ion flow the most useful theory to resolve the charging process of particle is Liu-Kapadia's charging theory. However, in case of the dimensionless electric field ω, this theory requires a smaller grid size in radial direction and long CPU time to acquire correct charging characteristics. So we investigate the relation between ω and the necessary equal grid size in order to correct charging characteristics. The application of the Spline correction function to calculate the slope of concentration of ion adjacent to the surface of particle is useful. Furthermore, when ω is less than 0.5 and greater than 50.0, Liu-Kapadia's theory can be replaced by other simple theory.