Investigation of a mathematical model of high-temperature diffusion controlled heterogeneous reaction between metal and oxide melts

A deterministic computational model of high-temperature heterogeneous reaction between metal and oxide melts has been developed. Transport of reagents and products of reaction occur simultaneously both by diffusion and by laminar natural convection of the melting metal and oxide fluxes. The convection-diffusion equations have been numerically solved by a finite-differences time-implicit discretization scheme. The model was implemented by program which had been written in C# language. The computations have been performed for desulfurization reaction between liquid steel and slag phases.The computed results agree well with the results which were found by experimental methods.