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Gravitational modulation of thermosolutal convection during directional solidification

Murray, B. T., Coriell, S. R., McFadden, G. B., Wheeler, A. A. and Saunders, B. V. (1993) Gravitational modulation of thermosolutal convection during directional solidification Journal of Crystal Growth, 129, (1-2), pp. 70-80. (doi:10.1016/0022-0248(93)90435-Y).

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During directional solidification of a binary alloy at constant velocity, thermosolutal convection may occur due to the temperature and solute gradients associated with the solidification process. For vertical growth in an ideal furnace (lacking horizontal gradients) a quiescent state is possible. The effect of a time-periodic vertical gravitational acceleration (or equivalently vibration) on the onset of thermosolutal convection is calculated based on linear stability using Floquet theory. Numerical calculations for the onset of instability have been carried out for a semiconductor alloy with Schmidt number of 10 and Prandtl number of 0.1 with primary emphasis on large modulation frequencies in a microgravity environment for which the background gravitational acceleration is negligible. The numerical results demonstrate that there is a significant difference in stability depending on whether a heavier or lighter solute is rejected. For large modulation frequencies, the stability behavior can be described by either the method of averaging or an asymptotic resonant mode analysis.

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Published date: 1993


Local EPrints ID: 808
ISSN: 0022-0248
PURE UUID: efc1ff20-f282-4f81-8a99-2b3cfd746f1a

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Date deposited: 25 Mar 2004
Last modified: 17 Jul 2017 17:17

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Author: B. T. Murray
Author: S. R. Coriell
Author: G. B. McFadden
Author: A. A. Wheeler
Author: B. V. Saunders

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