Abstract
An approximate method for predicting the last point to solidify in a casting is presented. On defining a time-averaged temperature field, an approximate method for predicting the last point to solidify is defined by the solutions of two steady-state Poisson equations. The method is demonstrated by solving a number of one- and two-dimensional problems. For moderate values of Stefan number ( St < 2) predictions for the last point to solidify are in close agreement with predictions obtained from analytical and complete transient numerical solutions.