Date of Award
Master of Science (MS)
A phase-field approach is pursued to study the solidification of binary alloys, and equations governing the kinetics of the phase transformation are derived. The Ginzburg Landau equation and Cahn Hilliard equation were developed for the binary alloy phasefield model, considering both free energy minimization and conservation of mass. The analytical solutions for a dilute solution alloy are derived. For the thin interface limit, the correlation between the phase-field mobility and kinetic interface coefficient is developed, neglecting the diffusivity at the solid side. For a one-dimensional steady-state condition, along with the diffuse interface, the concentration profile is established as a function of interface velocity. The variation of the partition coefficient as a function of interface velocity is shown. Numerical simulations for the diluted solution are used to study the interface velocity is observed as a function of undercooling for the classic sharp interface model, partitionless solidification, thin interface, and sharp interface model.
Ghosh, Manoj, "" (2020). Thesis. 53.