Deposition of aerosol particles in plane-parallel channels at different wall temperatures

Abstract

A theoretical model was developed describing the deposition of monodispersed aerosol particles in Poiseuille's flow through channels with their walls having different fixed temperatures. The description of the process takes into account the effect of the thermophoretic force and Brownian diffusion on deposition. It was shown that the mutual influence of the thermophoretic force and Brownian diffusion on the capture of the particles in the channels is determined by the parameter 2β, which is defined as the product of the transverse velocity of particles and the channel width relative to the Brownian diffusion coefficient. Also a theoretical model is proposed for the thermophoretic deposition of the particles at different temperatures, i.e. in the channel with non-symmetrical thermal gradient relative to its central plane. The distribution of the temperature along each of the plates can be varied arbitrarily. The deposition of particles was considered for laminar flow obeying Poiseuille's law.