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28 March 2024
 
  » arxiv » cond-mat/0606388

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On the role of confinement on solidification in pure materials and binary alloys
Badrinarayan P. Athreya ; Jonathan A. Dantzig ; Shan Liu ; Rohit Trivedi ;
Date 14 Jun 2006
Journal Philosophical Magazine, Vol. 86, No. 24, 21 August 2006, 3739-3756
Subject Materials Science
AbstractWe 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 ($delta$) on tip selection, by quantifying the dendrite tip velocity and curvature as a function of $delta$, and other process parameters. As $delta$ 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 $delta$, 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.
Source arXiv, cond-mat/0606388
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