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The main raw material in the Electric Arc Furnace (EAF) is scrap. This material has the advantage of lower energy consumption in comparison with Direct Reduced Iron (DRI), but the production of high quality steels with scrap is difficult due to the presence of residual elements and also due to severe fluctuations in both availability and price. On the other hand, with DRI as feedstock, the production of steels of higher quality is possible. However, DRI is a porous material containing gangue that increases the consumption of electric energy. In order to decrease energy consumption it is critical to understand the melting mechanism and increase the melting rate of DRI. The melting mechanism of particulate additions in a liquid metal at high temperatures involves the formation of a frozen shell. Its liquidus temperature with respect to the liquidus temperature of the addition defines whether heat or mass transfer is the dominant mechanism during its melting process.1–3) It has also been reported4–6) that exothermic reactions and CO generated during heating, melting and dissolution of particulate additions, accelerate the melting rate of the frozen shell. The melting rate of DRI depends on many variables: properties of the frozen shell, metallization, gangue content, temperature and size of the addition, temperature of liquid steel, superheat, stirring conditions and slag physicochemiMathematical Modeling of the Melting of Sponge Iron in a Bath of Non-reactive Molten Slag