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

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

2006-06-14

arxiv.org/abs/cond-mat/0606388v1

Philosophical Magazine, Vol. 86, No. 24, 21 August 2006, 3739-3756

Physics

Condensed Matter

Materials Science

13 pages, 9 figures, 3 tables

Scientific paper

10.1080/14786430500157060

We 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.

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