ABSTRACT

Most models of alloy solidification are severely limited by the assumption of constant density, thus excluding all convective effects. We present a thermodynamically consistent model for binary alloy solidification 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.