A three-dimensional mathematical model has been developed in order to describe the electromagnetic phenomena in an Electric submerged Arc Furnace (EAF). From the electromagnetics differential equations solution, the current density, Lorentz force and Joule heating was investigated in connection with the slag’s electrical conductivity values. A first approach towards the determination of the slag’s electrical conductivity was attempted using the 3D computational model in time dependent conditions associated with electrical potential and current measurements taken from industrial installations. It was determined that the electrical conductivity of slag was 30 S/m.Keywords: Submerged-arc electric furnace, Söderberg electrodes, magneto-hydrodynamics, Joule heating, CFD
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