On a nonlinear Stefan problem arising in the continuous casting of steel
A mathematical model for description of the continuous casting process is presented. It incorporates energy conservation for liquid and solid phases and corresponding boundary conditions. The problem is reduced to the nonlinear Stefan problem. It is shown that the normalized pseudo steady state temperature can serve as an upper bound to the normalized actual temperature. Some numerical results are presented.
normalized pseudo-steady state temperature
upper bound to normalized actual temperature
scientific article; zbMATH DE number 880743