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.
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Received 8 July 1997; accepted 30 December 1997. The author acknowledges the support of the Minnesota SuperComputer Institute. Address correspondence to Professor Vaughan R. Voller, St. Anthony Falls Laborator, MissisRiver at Third Avenue SE, University of Minnesota, Minneapolis, MN 55455-2196, USA.
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