Mass transfer interaction of moving particles in a reactive dispersive system

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 is the sphere radius and P is the Peclet number) then the total diffusion flux to the surface of kth sphere is as follows

Full-size image (1K)

. Here k is the particle number along the stream (for the leading particle k = 1), I₁ is the diffusion flux to the leading particle: n = 1 for drops, n = 2 for solid particles.