A numerical method for the Rubinstein binary-alloy problem in the presence of an under-cooled liquid

A fixed grid solution for tracking a moving solidification front controlled by coupled heat and mass transport in the presence of an under-cooled liquid is developed. A known closed form similarity solution for the solidification of a binary alloy in a one-dimensional domain is outlined. A previousl...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2008-02, Vol.51 (3), p.696-706
Main Author: Voller, V.R.
Format: Article
Language:English
Subjects:
Analytical solution
Binary alloy
Constitutional under-cooling
Cross-disciplinary physics: materials science
rheology
Enthalpy method
Exact sciences and technology
Materials science
Phase diagrams and microstructures developed by solidification and solid-solid phase transformations
Physics
Solidification
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Summary:A fixed grid solution for tracking a moving solidification front controlled by coupled heat and mass transport in the presence of an under-cooled liquid is developed. A known closed form similarity solution for the solidification of a binary alloy in a one-dimensional domain is outlined. A previously reported enthalpy based model for this problem is presented and a novel numerical solution devised. Comparisons with the analytical solution show that the proposed numerical solution can produce high-fidelity predictions across a wide range of conditions including cases where the liquid becomes under-cooled.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2007.04.020