Macroscopic global modeling of binary alloy solidification processes

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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DOI:
https://doi.org/10.1090/qam/793522

Article copyright:
© Copyright 1985
American Mathematical Society