Multiphase/multicomponent modeling of solidification processes: coupling solidification kinetics with thermodynamics

This paper is an extension and improvement of the previous work of the authors. It presents further development of a coupling method between a multiphase Eulerian solidification model and the thermodynamics of multicomponental alloys. The transport equations of the multiphase solidification model are closed by the interphase transfer/exchange terms. The derivation of these terms is based on the diffusion-controlled solidification kinetics and thermodynamics. Direct online coupling of a computational fluid dynamics solver with a thermodynamic software package is time-consuming, therefore a way to access thermodynamic data by means of the tabulation and interpolation technique (In-Situ Adaptive Tabulation) is suggested. The coupling procedure is described and tested with a 0-D solidification benchmark case. Additionally, the suggested coupling method is used to simulate a casting process of a CuSn6P0.5 round strand, which demonstrated the application potential of the coupling idea. The predicted macrosegregations of Sn and P for this casting process shows the same distribution pattern as observed in practice, namely positive segregation in the vicinity of the wall region and negative one in the center of the casting.