On the role of confinement on solidification in pure materials and binary alloys

dc.creatorAthreya, Badrinarayan P.
dc.creatorDantzig, Jonathan A.
dc.creatorLiu, Shan
dc.creatorTrivedi, Rohit
dc.date2006-06-14
dc.date.accessioned2026-07-07T07:12:40Z
dc.date.available2026-07-07T07:12:40Z
dc.descriptionWe use a phase-field model to study the effect of confinement on dendritic growth, in a pure material solidifying in an undercooled melt, and in the directional solidification of a dilute binary alloy. Specifically, we observe the effect of varying the vertical domain extent ($δ$) on tip selection, by quantifying the dendrite tip velocity and curvature as a function of $δ$, and other process parameters. As $δ$ decreases, we find that the operating state of the dendrite tips becomes significantly affected by the presence of finite boundaries. For particular boundary conditions, we observe a switching of the growth state from 3-D to 2-D at very small $δ$, in both the pure material and alloy. We demonstrate that results from the alloy model compare favorably with those from an experimental study investigating this effect.
dc.description13 pages, 9 figures, 3 tables
dc.identifierhttps://arxiv.org/abs/cond-mat/0606388
dc.identifierhttp://arxiv.org/abs/cond-mat/0606388
dc.identifierPhilosophical Magazine, Vol. 86, No. 24, 21 August 2006, 3739-3756
dc.identifierdoi:10.1080/14786430500157060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112158
dc.subjectMaterials Science
dc.titleOn the role of confinement on solidification in pure materials and binary alloys
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