Abstract
A statistically based method for the presentation and analysis of solidification macrosegregation measurements and predictions is proposed. In cases where measurements or predictions are arranged on a uniform grid and associated with a sub-volume of fixed size, the proposed approach mimics a cumulative distribution function (CDF) from which the volume fraction of the solidified casting above a given level of segregation can be determined. Illustrating this method in the presentation of recent reported macrosegregation measurements of a Sn-10wt%Bi alloy indicates the appearance of a power-law behavior in the positively segregated region of the distribution. This finding suggests that refinement of the grid density in experiments or simulations will lead to a continuing increase in the maximum measured or predicted segregation value. This conjecture is supported by creating CDF's for synthetic and numerically simulated measurements for the Sn-10%wtBi system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 468-471 |
| Number of pages | 4 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 79 |
| DOIs | |
| State | Published - Dec 2014 |
Bibliographical note
Funding Information:The authors would like to thank the reviews of this paper for useful and insightful comments. Also IV would like acknowledges the support of the Montenegrin Ministry of Science.
Publisher Copyright:
© 2014 Elsevier B.V. All rights reserved.
Keywords
- Frequency analysis
- Macrosegregation
- Solidification