Alloy Solidification with Convection in the Melt

Most models of alloy solidiication are severely limited by the assumption of constant density, thus excluding all convective eeects. We present a thermodynamicaly consistent model for binary alloy solidiication that incorporates energy, species and momentum conservation, constitutional supercooling, as well as temperature, concentration, and pressure dependence of thermophysical parameters. The crucial aspect is the development of an Equation of State capturing the thermochemistry of the phases. A numerical algorithm will also be outlined.