Mathematical Modelling of Fractional Solidification

  1. Prof. Yves Bréchet
  1. J. A. Spim Jr,
  2. M. C. F. Ierardi and
  3. A. Garcia

Published Online: 19 DEC 2005

DOI: 10.1002/3527606157.ch63

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3

How to Cite

Spim, J. A., Ierardi, M. C. F. and Garcia, A. (2000) Mathematical Modelling of Fractional Solidification, in Microstructures, Mechanical Properties and Processes - Computer Simulation and Modelling, Volume 3 (ed Y. Bréchet), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527606157.ch63

Editor Information

  1. Institut Nat. Polytechnique de Grenoble, L.T.P.-C.M. ENSEEG, BP75, Domaine Universitaires, 38402 Saint Martin D'Hères Cedex, France; Tel.: 0033–76–82 6610; Fax: 0033–76–82 6644

Author Information

  1. Materials Engineering Department/State University of Campinas - UNICAMP PO Box 6122 - 130g3-970 Campinas, SP, Brazil

Publication History

  1. Published Online: 19 DEC 2005
  2. Published Print: 20 APR 2000

Book Series:

  1. EUROMAT 99

ISBN Information

Print ISBN: 9783527301225

Online ISBN: 9783527606153

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Keywords:

  • microstructures;
  • computer simulation;
  • modelling of processes;
  • fractional solidification;
  • mathematical modeling

Summary

Fractional solidification is a technique which has found widespread application either to eliminate segregation, producing a uniform or level distribution of solute, or to enhance it to provide a high degree of separation of solute and solvent. In the later case, the aim of the process is to achieve ultra-purification by a slowly unidirectional moving of a liquid zone through a solid sample. By increasing the number of passes of the molten zone, the impurities go to both ends of the sample, providing an intermediate region of high purity. The operating parameters which can be altered to improve the refining efficiency, include the effective distribution coefficient, the molten zone travel rate and the zone length. In the present work, a model capable of predicting the solute distribution at any stage of a multi-pass fractional solidification is proposed. The model is based on a numerical technique and deals with the mass transfer in both solidification and melting interfaces along the process. Furthermore, experimental work was also carried out by using different metals as the starting materials. Axial impurities profiles have been experimentally determined after a number of zones passes. These profiles have been compared with theoretical results in order to check predictions furnished by the proposed model. The model has proved to be versatile and easy of manipulation, permitting the simulation of solute distribution along the zone passes during purification by fractional solidification.