A semi-analytical model of microsegregation in a binary alloy

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At small Fourier diffusion numbers semi-analytical microsegregation models, of the form suggested by Brody and Flemings, are known to perform poorly in the analysis of solidifications controlled by a parabolic solid growth. The basic inconsistency in the development of this class of models is highlighted. It is shown that an alternative, consistent development, for solidifications controlled by a constant cooling rate, results in the same microsegregation model. Comparison with predictions - maximum concentration and eutectic fractions - obtained with a numerical, constant cooling rate solution show a significant improvement in model performance. Further modification - based on curve fitting in the low Fourier number range - leads to a constant cooling rate microsegregation model that provides accurate predictions of microsegregation levels across a wide, practical range of parameters.

Original languageEnglish (US)
Pages (from-to)325-332
Number of pages8
JournalJournal of Crystal Growth
Issue number1-2
StatePublished - 1999

Bibliographical note

Funding Information:
This work was support by a resources grant from the Minnesota Supercomputer Institute, University of Minnesota.


  • Semi-analytical microsegregation model


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