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

A. A. Lacey; L. A. Herraiz

doi:10.1017/S0956792501004818

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 journal › Article › peer-review

9 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 language	English
Pages (from-to)	261-282
Number of pages	22
Journal	European Journal of Applied Mathematics
Volume	13
Issue number	3
DOIs	https://doi.org/10.1017/S0956792501004818
Publication status	Published - 2002

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

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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AU - Lacey, A. A.

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0036062960

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DO - 10.1017/S0956792501004818

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SP - 261

EP - 282

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

IS - 3

ER -

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

Abstract

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