The temperature, heat flux, and growth kinetics for a metal crust on a refractory

Conclusions

The assumptions of ideal thermal contact and semiinfinite refractory lining have been used in an analytic solution for the crust kinetics. That solution has an advantage over a numerical one in that it enables one to analyze the effects of the various physical factors. The solution has been obtained in terms of dimensionless variables, particularly as a function of the unique dimensionless parameter, which enables one to evaluate crustal development for any physical conditions. Further improvement to the solution can be obtained by incorporating the nonideal refractory-liquid contact.