Abstract: A mathematical formulation is developed to represent the magneticfield intensity, the current density, the velocity field, the temperature field in the DC arc furnace bath.The governing equations are solved numerically to describe the magnetic field intensity profiles, the current density profiles, Lorentz force profiles, streamline profiles, the velocity profiles and temperature profiles in the 30t DC-EAF bath. The theoretical predictions of temperature field are in good agreement with measurement in the 30t DC-EAF bath, and the recirculation rate of flow is also in good agreement with published estimation.