Convective diffusion to a reacting rigid sphere in stokes flow: PMM vol. 40, no. 5, 1976, pp. 892–897

Abstract

The problem of convective diffusion to a reacting rigid sphere was solved earlier in [1] for small values of Péclet and Reynolds numbers and finite reaction velocities, using the method of matched asymptotic expansions. In the present paper the problem of diffusion to a rigid sphere in a Stokes flow at finite velocities of the first order chemical reaction at the sphere surface is solved for large values of the Péclet number. The method of solution is similar to that used in [2] in the problem of convective diffusion to a reacting flat plate in a longitudinal flow of a viscous fluid.