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

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)696-706
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume51
Issue number3-4
DOIs
StatePublished - Feb 1 2008

Keywords

  • Analytical solution
  • Binary alloy
  • Constitutional under-cooling
  • Enthalpy method

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