Modelling vertical continuous casting with temperature-dependent material properties

An extension of the analytical model for vertical continuous casting of bars previously developed by the authors (Johnson and Cherukuri. Proc. Roy. Soc. London A 455 (1999) 227) is presented. The new features include temperature dependence of thermal conductivity and the constitutive equations. The model can be used to readily predict the effect of various process parameters such as cooling conditions, liquid pool pressure, casting speed on the solidification process. Consequently, it can be readily implemented in a control system to adjust the process parameters of a typical solidification process. In addition, it can also be used as a guide to gain insight into the nature of the solution prior to conducting more general and expensive finite element simulations.