Gaussian diffusion sphere model to predict mass transfer due to diffusional particle deposition on a flat surface in laminar flow regime

Abstract

Gaussian diffusion sphere model (GDSM) was developed to predict mass transfer in a flow parallel to a flat surface in laminar flow regime. The GDSM is based on the prediction of deposition probability of particles by calculating the volume fraction of a sphere overlapping with the surface, where the distance a particle diffuses for a certain time within the sphere is statistically weighted by a Gaussian distribution with the standard deviation equal to the root-mean-square net displacement by Brownian motion. Mean mass transfer coefficient predicted by the GDSM agreed very well with that calculated by the laminar boundary layer theory.