Abstract
A mathematical representation has been developed for the electromagnetic force field, the fluid flow field, the temperature field (and for transport controlled kinetics), in a levitation melted metal droplet. The technique of mutual inductances was employed for the calculation of the electromagnetic force field, while the turbulent Navier-Stokes equations and the turbulent convective transport equations were used to represent the fluid flow field, the temperature field, and the concentration field. The governing differential equations, written in spherical coordinates, were solved numerically. The computed results were found to be in good agreement with measurements reported in the literature regarding the lifting force and the average temperature of the specimen and carburization rates, which were transport controlled.
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