Macroscopic models for melting derived from averaging microscopic Stefan problems II: Effect of varying geometry and composition

A. A. Lacey, L. A. Herraiz

Research output: Contribution to journalArticle

8 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)261-282
Number of pages22
JournalEuropean Journal of Applied Mathematics
Volume13
Issue number3
DOIs
Publication statusPublished - 2002

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