Frequency analysis of macrosegregation measurements and simulations

V. R. Voller, I. Vušanović

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

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 languageEnglish (US)
Pages (from-to)468-471
Number of pages4
JournalInternational Journal of Heat and Mass Transfer
Volume79
DOIs
StatePublished - Dec 2014

Bibliographical note

Publisher Copyright:
© 2014 Elsevier B.V. All rights reserved.

Keywords

  • Frequency analysis
  • Macrosegregation
  • Solidification

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