A Multilayer Model for Alumina Inclusion Transformation by Calcium in the Ladle Furnace

Calcium wire injection is widely used for modification of solid alumina inclusions to liquid or partially liquid calcium aluminate. In the present work, a multilayer growth model is proposed for modification of alumina inclusions. Diffusion through a multiphase product layer and mass transfer of solute through the boundary layer to the inclusion are taken into account in this model. It is assumed that the outer surface of the inclusion is thermodynamically in equilibrium with the local steel composition. The results show that the mass transfer of calcium through the boundary layer and within the inclusion is complete in a matter of seconds; furthermore, once the liquid calcium aluminate forms, it quickly consumes the other solid calcium aluminate phases. Because the calcium is so rapidly consumed by the inclusions, the rate of transformation in a calcium treatment process is controlled by the rate that calcium is supplied to the steel by the calcium bubbles.