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) |
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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
Publisher Copyright:© 2014 Elsevier B.V. All rights reserved.
Keywords
- Frequency analysis
- Macrosegregation
- Solidification