Recent advances in the understanding of melting and solidification heat transfer in metals and alloys are discussed. Since heat transfer is generally the rate-determining process, the emphasis in the paper is on fundamental heat transfer processes during solid–liquid phase transformation and comparison between mathematical-numerical model predictions with experimental data. After a brief discussion of theoretical considerations, unidirectional and multidirectional melting and solidification processes are reviewed. The important role played by buoyancy-driven fluid flow is discussed and problem areas needing research attention are identified.

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