Mass transfer interaction of moving particles in a reactive dispersive system
Abstract
Mass transfer from a system of particles moving linearly in a viscous fluid is considered. A chemical reaction on the particle surfaces is taken into account. The analysis is based on the investigation of concentration and velocity fields in a particle wake and of the distortion of these fields due to particles interaction. The values of both local and average Sherwood numbers are calculated. The results obtained are applied to the system of drops and solid spherical particles moving in line along the axis of uniform Stokes flow. It is shown, that if the distance 1 between the particles satisfies the condition a ≪ 1 ≪ aP ^{1/(n + 1)} ( a is the sphere radius and P is the Peclet number) then the total diffusion flux to the surface of kth sphere is as follows I _{k} = I _{1}[k ^{n/(n + 1)}  (k  1) ^{n/(n + 1)}], k = 1, …, N . Here k is the particle number along the stream (for the leading particle k = 1), I_{1} is the diffusion flux to the leading particle: n = 1 for drops, n = 2 for solid particles.
 Publication:

Acta Astronautica
 Pub Date:
 December 1978
 DOI:
 10.1016/00945765(78)900218
 Bibcode:
 1978AcAau...5.1213G
 Keywords:

 Incompressible Flow;
 Mass Transfer;
 Particle Interactions;
 Viscous Flow;
 Drops (Liquids);
 Particle Diffusion;
 Spheres;
 Surface Reactions;
 Wakes;
 Fluid Mechanics and Heat Transfer