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) |
|---|---|
| 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