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The effect of an electric field on the morphological stability of the crystal-melt interface of a binary alloy II. Joule heating and thermoelectric effects

The effect of an electric field on the morphological stability of the crystal-melt interface of a binary alloy II. Joule heating and thermoelectric effects
The effect of an electric field on the morphological stability of the crystal-melt interface of a binary alloy II. Joule heating and thermoelectric effects
We perform a fully time-dependent linear stability analysis of the morphological stability of a planar interface during directional solidification of a binary alloy at constant velocity in the presence of an electric field. We take into account electromigration of solute, Joule heating, and thermoelectric effects. This represents an extension of the simple model of Wheeler et al. in which the latter two effects were neglected. We find that for tin–bismuth and germanium–gallium alloys the influence of electromigration and differing electrical conductivities in each phase are the most important in determining the linear stability of the system, with the Peltier heat and Thomson effect the most significant of the thermoelectric effects, particularly at low velocities where an additional long wavelength instability may arise. Joule heating and Seebeck effects appear to be of lesser importance.
0022-0248
334-346
Coriell, S.R.
8499c8d5-e69d-43c6-9224-a3b550f98a38
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Hurle, D.T.J.
3050de2f-c0e1-44e1-95e5-8c3cd7f50f08
Coriell, S.R.
8499c8d5-e69d-43c6-9224-a3b550f98a38
McFadden, G.B.
56b0d29e-1cfb-4775-96d1-d32d50ea08d2
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Hurle, D.T.J.
3050de2f-c0e1-44e1-95e5-8c3cd7f50f08

Coriell, S.R., McFadden, G.B., Wheeler, A.A. and Hurle, D.T.J. (1989) The effect of an electric field on the morphological stability of the crystal-melt interface of a binary alloy II. Joule heating and thermoelectric effects. Journal of Crystal Growth, 94 (2), 334-346. (doi:10.1016/0022-0248(89)90006-7).

Record type: Article

Abstract

We perform a fully time-dependent linear stability analysis of the morphological stability of a planar interface during directional solidification of a binary alloy at constant velocity in the presence of an electric field. We take into account electromigration of solute, Joule heating, and thermoelectric effects. This represents an extension of the simple model of Wheeler et al. in which the latter two effects were neglected. We find that for tin–bismuth and germanium–gallium alloys the influence of electromigration and differing electrical conductivities in each phase are the most important in determining the linear stability of the system, with the Peltier heat and Thomson effect the most significant of the thermoelectric effects, particularly at low velocities where an additional long wavelength instability may arise. Joule heating and Seebeck effects appear to be of lesser importance.

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Published date: 1989

Identifiers

Local EPrints ID: 827
URI: http://eprints.soton.ac.uk/id/eprint/827
ISSN: 0022-0248
PURE UUID: 4e7f184f-4195-416e-9df0-3c889362aada

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Date deposited: 05 Apr 2004
Last modified: 15 Mar 2024 04:42

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Contributors

Author: S.R. Coriell
Author: G.B. McFadden
Author: A.A. Wheeler
Author: D.T.J. Hurle

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