Velocity and concentration fields in current-carrying liquid filling spherical layer space

A. I. Raitchenko - V. P. Popov - A. V. Derevyanko

Institute for Problems of Material Science, Ukrainian national Academy of Sciences, Kiev, Ukraine

Abstract
A model which is the solid metal sphere dipped in liquid metal was considered. Liquid metal fills spherical layer space. Direct electric current is passing through the whole model. The formulae for the Stokes stream function for current-carrying liquid, velocity components, concentrations at Lorentz convection diffusion, and the corresponding Sherwood numbers are derived. Figs 6, Refs 7.