Global analysis of heat transfer considering three-dimensional unsteady melt flow in CZ crystal growth of oxide

C. J. Jing, S. Ihara, K. I. Sugioka, T. Tsukada, M. Kobayashi, M. Mito, C. Yokoyama

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The conventional global model of heat transfer for the Czochralski (CZ) crystal growth of oxides is based on a pseudo-steady axisymmetric assumption. However, because oxide melt flow is commonly three-dimensional and unsteady, an approach to formulate a global model in which a three-dimensional unsteady melt flow is taken into account was proposed in this study. This approach couples a conventional global model of heat transfer and a model of a three-dimensional, unsteady melt flow using two interface models. The newly developed global model was validated and used to investigate the effect of a three-dimensional, unsteady melt flow on oxide crystal growth. The results indicate that the effect of a three-dimensional, unsteady melt flow is too large to be neglected when the crystal rotational Reynolds number is relatively large. It was found that a three-dimensional, unsteady melt flow shifts the critical Reynolds number at which interface inversion occurs at a much lower value than that obtained using a conventional model based on a pseudo-steady axisymmetric assumption.

Original languageEnglish
Pages (from-to)235-244
Number of pages10
JournalJournal of Crystal Growth
Volume307
Issue number1
DOIs
Publication statusPublished - 2007 Sep 1

Keywords

  • A1. Global analysis of heat transfer
  • A1. Interface inversion
  • A1. Internal radiative heat transfer
  • A2. Czochralski method
  • B1. Oxide

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Inorganic Chemistry
  • Materials Chemistry

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