Solid/Liquid Phase Change: Recent Studies and Models
R. Prud'homme; and M. El Ganaoui

Source FDMP: Fluid Dynamics & Materials Processing, Vol. 3, No. 2, pp. 161-172, 2007
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Abstract Some problems related to solid/liquid phase change are presented. Attention is focused on interface modeling for numerical analysis and one-dimensional directional growing and melting. Microgravity relevance of some situations is emphasized. It is shown, in particular, that in some circumstances melting is not the simple reversal of crystal growth due to some (still poorly known) phenomena (nucleation and growth of liquid droplets in the bulk, solid and liquid dendrites due to a morphological instability of the phase boundary). Relevant mathematical models are discussed and described (to a certain extent) for analysis and/or characterization of these phenomena when they are disjoint or partially combined. Some effort is provided to model phenomena occurring at both the microscopic and macroscopic scale lengths.
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