Transfer in Translational Flow at Low Peclet Numbers

Mass Transfer in Translational Flow at Low Peclet Numbers 

Following [367, 368], let us consider steady-state diffusion to a particle in a laminar flow. We assume that on the surface of the particle and remote from it, the concentration is constant and equal to Cs and C, respectively. In the dimensionless variables (3.1.7), the mass transfer process in the continuous medium is described by the equation 

In this section, we study the one-dimensional translational flow with velocity JJ remote from the particle. 

Statement of the Problem. Let us consider mass exchange between a spherical particle of radius a and a translational flow. In the Stokes flow (Re — 0), one can represent the dimensionless (divided by U ) fluid velocity components as 

Here r is the dimensionless (divided by a) radial coordinate, 6 is the angular coordinate (measured from the incoming flow direction), and ip is the dimensionless (divided by a2U ) stream function. 

---