SOLIDIFICATION OF TERNARY METAL-ALLOYS .1. MODEL DEVELOPMENT

Building on previous treatments of transport phenomena occurring durin g the solidification of binary alloys, a model is constructed to simul ate the casting of ternary alloys. Specifically, the continuum mixture equations for the transport of mass, momentum, energy and species are modified to account for a third component. To close the model, supple mental thermodynamic relations, which are taken from the ternary equil ibrium phase diagram and which treat the several primary solid phases, binary eutectic troughs, ternary eutectic and peritectic reactions an d the formation of an intermetallic compound, are presented. Finally, a calculation procedure is developed for the thermodynamic model. Nume rical results based on the application of this model are discussed in a companion paper [Krane and Incropera, Intenational Journal of Heat a nd Mass Transfer, 1997, 40 3837-3847]. (C) 1997 Elsevier Science Ltd.