Collection of aerosol particles by a conducting sphere in an external electric field—continuum regime approximation

Abstract

The collection of charged aerosol particles by a charged conducting sphere in a uniform electric field is theoretically investigated. Continuum regime is considered and particle concentration is assumed to be described by the convective diffusion equation. Analytical solutions satisfying boundary conditions for different regions are obtained. These solutions include the simultaneous effects of Brownian motion, static charges, and external electric field. Some numerical results are presented. It is also shown that these solutions can be reduced to various limiting cases where some effects are absent.