An analytical solution for the solidus and liquidus position in the solidification of materials with a phase change range applied to the continuous casting of steel

In continuous casting processes it is important to know how the growth of the solidification layer thickness depends on the properties of the material to be casted. With help of a known approximate solution for the one dimensional solidifcation of a body with fixed wall temperature the solidified layer thickness can be calculated. In this paper it has been done for steel. Also a temperature transition range for the solidification process has been taken into account. The results are given in a few dimensionless numbers representing the relation between the solidification front position and time. The data obtained can be used as an estimation for the effects that occur in practice with steel casting processes.