title: Solidification of a supercooled liquid in a narrow channel.
abstract: We simulate solidification in a narrow channel through the use of a phase-field model with an adaptive grid. In different regimes, we find that the solid can grow in fingerlike steady-state shapes, or become unstable, exhibiting unsteady growth. At low melt undercoolings, we find good agreement between our results, theoretical predictions, and experiment. For high undercoolings, we report evidence for a new stable steady-state finger shape which exists in experimentally accessible ranges for typical materials.
authors.affiliation: Physics Department and Centre for the Physics of Materials, McGill University, Rutherford Building, 3600 rue University, Montréal, Québec, Canada H3A 2T8.
authors.forename: M
authors.initials: M
authors.lastname: Sabouri-Ghomi
authors.forename: N
authors.initials: N
authors.lastname: Provatas
authors.forename: M
authors.initials: M
authors.lastname: Grant