Solidification of a Supercooled Liquid in a Narrow Channel
Author(s) -
Mohsen Sabouri-Ghomi,
Nikolas Provatas,
Martin Grant
Publication year - 2001
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.86.5084
Subject(s) - supercooling , steady state (chemistry) , materials science , channel (broadcasting) , phase (matter) , mechanics , field (mathematics) , condensed matter physics , thermodynamics , physics , computer science , chemistry , computer network , mathematics , quantum mechanics , pure mathematics
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.
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