Rapid Freezing of Dilute Alloys

The solidification process of a dilute binary alloy with complete mixing of the liquid and no diffusion in the solid is modelled, when a low temperature is imposed either directly or convectively at one end. The resulting moving-boundary problem has time-varying critical temperature which depends on...

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Bibliographic Details
Published in:IMA journal of applied mathematics 1983-01, Vol.30 (1), p.67-79
Main Author: ALEXIADES, V
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Materials science
Phase diagrams and microstructures developed by solidification and solid-solid phase transformations
Physics
Thermal properties of condensed matter
Thermal properties of crystalline solids
Thermodynamic properties
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Description
Summary:The solidification process of a dilute binary alloy with complete mixing of the liquid and no diffusion in the solid is modelled, when a low temperature is imposed either directly or convectively at one end. The resulting moving-boundary problem has time-varying critical temperature which depends on the location of the interface. Approximations to the solution are constructed as perturbation expansions in powers of the Stefan number. As an example the solidification of a copper-nickel alloy is considered.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/30.1.67