This paper addresses the analysis of nonlinear transient heat transfer with phase change. An effective and simple procedure is presented for the simulation of the motion of the solid-liquid interfacial boundary and the transient temperature field during phase change process. To accomplish this purpose, an iterative implicit solution algorithm has been developed by employing the dual reciprocity boundary element method. The dual reciprocity boundary element approach provided in this paper is much simpler than the usual boundary element method applying a reciprocity principle and an available technique for dealing with domain integral of boundary element formulation simultaneously. In this paper, attention is focusssed on two-dimensional solidification problems for simplicity. The accuracy and effectiveness of the present analysis method have been illustrated through comparisons of the calculation results of an example with its known semi-analytical solutions and other numerical solutions where available.
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