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Analysis of the electroconvective dissolution of a conducting solid sphere in a current-carrying liquid

A. I. Raichenko , A. A. Raichenko , E. S. Chernikova , A. A. Miroshnichenko

Abstract
The process of dissolution of a solid spherical inclusion in a conducting liquid carrying dirrect electric current has been investigated. All possible versions of conductivity of the solid inclusion (from the insulator to superconductor) have been considered. The normalized rate of dissolution (Sherwood number) caused by an electroconvective diffusion is a function of two arguments, R4μ0μeJ02/(νD) (R is the inclusion radius, μ0 (relative) permeability, J_0 the current density, viscosity, D diffusivity) and _i/_e (where lambdai and λe are the conductivities of the inclusion and the liquid, respectively). For example, the Sherwood number at dissolution of an inclusion of WC in liquid Co at 1300°C and J0 ≈ 1010 A/m2 is approximately 2. Figs. 4, tab. 1, refs 11.

Magnitnaya Gidrodinamika 30, No. 1, 71-76, 1994 [PDF, 0.26 Mb] (in Russian)
Magnetohydrodynamics 30, No. 1, 62-66, 1994 [PDF, 0.23 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X
DOI: http://doi.org/10.22364/mhd