A unified model of microsegregation and coarsening

V. R. Voller, C. Beckermann

Research output: Contribution to journalArticlepeer-review

125 Scopus citations

Abstract

Using a coordinate transform in a standard microsegregation model it is shown that the effect of coarsening on the dilution of the liquid phase can be accounted for by adding a dimensionless parameter αc to the back-diffusion Fourier number. Through theory, for the case of parabolic growth, and numerical experiments for the constant cooling rate, it is shown that a constant value of αc = 0.1 is a sound choice across a wide range of casting and alloy conditions. This finding allows for the development of a unified model for microsegregation and coarsening. In particular, previous approximate microsegregation models can be readily modified to account for coarsening.

Original languageEnglish (US)
Pages (from-to)2183-2189
Number of pages7
JournalMetallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Volume30
Issue number8
DOIs
StatePublished - 1999

Bibliographical note

Funding Information:
One of the authors (CB) gratefully acknowledges partial support provided by the National Science Foundation under Grant No. CTS-9501389

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