Convective diffusion to a particle in a fluid with linear kinetics: PMM vol. 43, no. 1, 1979, pp. 65–74

Abstract

The concentration field in the neighborhood of a solid sphere in a Stokes stream at high Péclet numbers is determined by the method of joining asymptotic solutions. A chemical reaction, whose rate is arbitrarily dependent on the concentration of the diffusing matter close to the surface, takes place at the sphere surface. Dependence of the total diffusing flux at the sphere surface on the chemical reaction rate is determined. The phenomenon of diffusion flux saturation with increasing Péclet number is present, as in the case of first order chemical reaction [1]. Modes of the chemical reaction at the sphere surface are investigated. The distribution of concentration in the diffusion wake region is determined and its structure analyzed. The problem was solved in [1] for the case of linear kinetics.