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)|
|Number of pages||4|
|Journal||International Journal of Heat and Mass Transfer|
|State||Published - Dec 2014|
Bibliographical noteFunding 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.
© 2014 Elsevier B.V. All rights reserved.
Copyright 2014 Elsevier B.V., All rights reserved.
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