A multiphase mixture model for rapid solidification

In this dissertation the averaged, multiphase material balance relations for solidification are developed beginning with the instantaneous point differential and interface jump conservation equations. The Clausius-Duhem inequality (form of the second law of thermodynamics) is utilized to form appropriate thermodynamic restrictions on the developed constitutive relations for a solidifying pure metal. A numerical simulation is developed for the differential algebraic equation (DAE) system which results from the multiphase solidification model. The simulation results are demonstrated through their application (in one dimension) to the solidification of a molten aluminum droplet. The multiphase solidification model and numerical simulation give a solution methodology with many advantages over current techniques for modeling rapid solidification. The multiphase modeling approach is extendible to metals with other constituents (alloys) present and more complex solidification phenomenon occurring.