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 language | English (US) |
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Pages (from-to) | 2183-2189 |
Number of pages | 7 |
Journal | Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science |
Volume | 30 |
Issue number | 8 |
DOIs | |
State | Published - 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