Macroscopic global modeling of binary alloy solidification processes

Alexiades, V.; Wilson, D. G.; Solomon, A. D.

doi:10.1090/qam/793522

Authors: V. Alexiades, D. G. Wilson and A. D. Solomon
Journal: Quart. Appl. Math. 43 (1985), 143-158
MSC: Primary 80A20
DOI: https://doi.org/10.1090/qam/793522
MathSciNet review: 793522
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Abstract: A macroscopic mathematical model is constructed describing the evolution of the phases of a binary alloy or mixture undergoing solidification under the action of simultaneous conduction of heat and diffusion of solute. The formulation is global, in the form of a pair of conservation laws valid over the whole region occupied by the alloy in a weak (distributional) sense. Thus it is especially convenient for numerical solution since it does not require tracking of the interface, which, in fact, may develop into a ``mushy zone".

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