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A front tracking model for transient solidification of Al-7wt%Si in a Bridgman furnace

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Abstract

The Bridgman furnace is widely used in industry and research. This paper outlines a working one-dimensional model for tracking the columnar solidification front in a Bridgman furnace where the pulling velocity, and hence front position, change as a function of time. The front tracking model is applied to a fixed grid of control volumes using an explicit numerical finite difference scheme to solve the heat equation over a finite domain. The model is demonstrated by way of a notional scenario, namely, Bridgman furnace solidification of a 16-mm diameter rod of Al-7wt%Si. The results show how the evolution of temperature distribution, thermal history, and front position are affected by a step change in pulling velocity.

Original languageEnglish
Pages (from-to)527-530
Number of pages4
JournalTransactions of the Indian Institute of Metals
Volume65
Issue number6
DOIs
Publication statusPublished (in print/issue) - 9 Oct 2012

Funding

Acknowledgments The authors would like to thank the European Space Agency for funding this research under the PRODEX programme. Thanks goes to all the GRADECET research partners, in particular Ulrike Hecht at Access e.V, Aachen, Germany.

Keywords

  • Al-Si
  • Bridgman furnace
  • Columnar growth
  • Front tracking
  • Velocity change

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