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PUBLICATIONS

The Solidification of an Ideal Ternary Alloy in a Mushy Layer

Published

Author(s)

Daniel M. Anderson, Geoffrey B. McFadden, Sam R. Coriell, Bruce Murray

Abstract

We consider a model for the solidification of an ideal ternary alloy in a mushy layer that incorporates the effects thermal and solutal diffusion, convection and solidification. Our results reveal that although the temperature and solute fields are constrained to the liquidus surface of the phase diagram, the system still admits double-diffusive type modes of instability. Additionally, modes of instability exist even in situations in which the thermal and solute fields are each individually stable from a static point of view. We highlight these instabilities in a model that admits an analytical solution and then examine the instabilities in a more general setting in which the base state solution and its linear stability are computed numerically.
Citation
Journal of Fluid Mechanics
Volume
647
Pub Type
Journals

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Keywords

solidification, convection, ternary alloy, mushy zone, buoyancy
Mathematics and statistics and Modeling and simulation research

Citation

Anderson, D. , McFadden, G. , Coriell, S. and Murray, B. (2010), The Solidification of an Ideal Ternary Alloy in a Mushy Layer, Journal of Fluid Mechanics, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=902866 (Accessed October 8, 2025)

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Created March 24, 2010, Updated February 19, 2017
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