Due to the recent upsurge of interest in such processes as spray casting,latent-heat-of-fusion thermal storage systems,space radiators,spacecraft energy conversion systems,rapid solidification,purification of materials,containerless levitation technique,etc.,there is an urgent need to analyze the transport phenomena of melting and solidification in spherical configurations.Only a few authors have studied the transport phenomena with phase change in a spherical shape.The present work will utilize the SIMPLE procedure to solve the unsteady coupled fluid flow and heat transfer equations governing the melting process.The fixed-grid method which utilizes single formulations for different phases is used and the coupling condition at the phase change interface is formulated into the governing equations.Thus,there is no need to track the moving interface and a fixed grid can be used throughout the computations.An enthalpy formulation which can handle phase-change problems occurring both at a single temperature and over a temperature range will be utilized.
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