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Macroscopic models for melting derived from averaging microscopic Stefan problems II: Effect of varying geometry and composition
Published online by Cambridge University Press: 16 July 2002
Abstract
A mushy region is assumed to consist of a fine mixture of two distinct phases separated by free boundaries. A method of multiple scales, with restrictions on the form of the microscopic free boundaries, is used to derive a macroscopic model for the mushy region. The final model depends both on the microscopic structure and on how the free-boundary temperature varies with curvature (Gibbs–Thomson effect), kinetic undercooling, or, for an alloy, composition.
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- 2002 Cambridge University Press
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