Abstract
A mathematical model which describes the exothermic dissolution of high melting point additions in liquid steel has been developed. The explicit finite difference method has been employed to solve the set of partial differential equations which describe the complex, heat transfer phenomena involved. The model predictions are supported with experimental results on dissolution of cylindrical specimens of zirconium, titanium and niobium in liquid steel. There is good agreement between experimental results and model predictions. The mathematical model has also been used to predict the dissolution of tantalum in liquid steel. The dissolution rate in liquid steel increases in the order Ta–Nb–Ti–Zr. For these elements, the heats of mixing with liquid iron as well as their melting points seem to be the most important factors affecting their dissolution speed.
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