Convective and Interfacial Instabilities During Solidification
During solidification and crystal growth from the melt, the crystal-melt interface is subject to morphological instability [1,2,3,4,5,6,7,8]. Under conditions for which unstable interfaces occur, the interface morphology is sometimes cellular, but dendritic (tree-like) growth usually occurs when the degree of instability is large. The solute distribution in the crystal influences the properties of the crystal, and since solid state diffusion is usually very slow, this solute distribution is determined primarily by the solute distribution in the melt at the crystal-melt interface. Thus, the interface morphology and fluid flow in the melt play a central role in determining the properties of the solidified material.
KeywordsDirectional Solidification Linear Stability Analysis Convective Instability Solute Distribution Interface Shape
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- R. F. Sekerka, Morphological Stability, in: Crystal Growth: An Introduction, P. Hartman, ed., North-Holland, Amsterdam (1973).Google Scholar
- R. T. Delves, Theory of Interface Stability, in: Crystal Growth, B. R. Pamplin, ed., Pergamon, Oxford (1974).Google Scholar
- D. J. Wollkind, A Deterministic Continuum Mechanical Approach to Morphological Stability of the Solid-Liquid Interface, in: Preparation and Properties of Solid State Materials, W. R. Wilcox, ed., Vol. 4, Marcel Dekker, New York (1979).Google Scholar
- S. R. Coriell and R. F. Sekerka, Effect of Convective Flow on Morphological Stability, PhysicoChem. Hydrodyn. 2:281 (1981).Google Scholar
- G. B. McFadden, R. F. Boisvert, and S. R. Coriell, unpublished researchGoogle Scholar
- R. J. Schaefer and S. R. Coriell, Convection-Induced Distortion of a Solid-Liquid Interface, Metall. Trans. 15A:2109 (1984).Google Scholar
- B. Caroli, C. Caroli, C. Misbah, and B. Roulet, Solutal Convection and Morphological Instability in Directional Solidification of Binary Alloys, J. Phys. (Paris) 46:401 (1985).Google Scholar
- G. W. Young and S. H. Davis, Directional Solidification with Buoyancy in Systems with Small Segregation Coefficient, Technical Report No.8513, Northwestern University, Jan. 1986.Google Scholar
- D. R. Jenkins Nonlinear Analysis of Convective and Morphological Instability during Solidification of a Dilute Binary Alloy, PhysicoChem. Hydrodyn. 6:521 (1985).Google Scholar
- G. B. McFadden, R. G. Rehm, S. R. Coriell, W. Chuck, and K. A. Morrish, Thermosolutal Convection during Directional Solidification, Metall. Trans. 15A:2125 (1984).Google Scholar