Abstract
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 language | English (US) |
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Pages (from-to) | 325-332 |
Number of pages | 8 |
Journal | Journal of Crystal Growth |
Volume | 197 |
Issue number | 1-2 |
DOIs | |
State | Published - 1999 |
Bibliographical note
Funding Information:This work was support by a resources grant from the Minnesota Supercomputer Institute, University of Minnesota.
Keywords
- Semi-analytical microsegregation model