Mathematical simulation of electromagnetic stirring of liquid steel in a DC arc furnace

Results are given of numerical simulation of electromagnetic stirring of metal melt in a dc arc furnace. The flow pattern and the transport of passive admixture in baths with one and two electrodes are studied. The mathematical model describes three-dimensional turbulent flow of electrically conducting liquid in the field of gravitational and electromagnetic forces. The parameters of turbulence are calculated in two approximations, namely, unsteady-state approximation by the large eddy simulation (LES) model and quasisteady-state approximation by the $k$ –$\varepsilon$; model.