The electromagnetic-field distribution in a refined-slag layer is simulated so as to refine the electrical operating conditions in ladle–furnace units. A mathematical model is derived for the electric field strength in the slag layer. The dependence of the resistivity of metal slags on their basicity and the melt temperature is obtained. A difference scheme is proposed for the solution of the differential equation describing the electromagnetic-field distribution. The differential equation is solved by Picard successive approximation. Sample electromagnetic-field distributions in the slag layer at different heights from the metal meniscus are presented. The results of mathematical simulation are in good agreement with physical modeling.
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Зацепин et al. (2015) studied this question.