Analytical models of solidification phenomena

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Abstract

Even as numerical models tackle increasingly complex solidification process and phenomena, analytical test problem can still be constructed to provide meaningful verification for the numerical modeling codes. In this paper, under the assumptions of zero surface energy, no crystal anisotropy, and infinite mobility, an analytical solution for the solidification of a solid seed in an undercooled binary melt is derived. This solution couples two previous literature solutions, one for the solidification of a seed in an undercooled pure melt, the other for the solidification of a binary alloy. The resulting solution provides insight into key crystal growth behavior and provides an excellent test solution for verification of more general multidimensional numerical solidification codes.

Original languageEnglish (US)
Pages (from-to)279-283
Number of pages5
JournalTransactions of the Indian Institute of Metals
Volume62
Issue number4-5
StatePublished - Oct 1 2009

Keywords

  • Analytical solution
  • Binary alloy
  • Solidification model
  • Undercooled

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