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Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata techniqueAuthor-Name: Shumylyak, Liliya

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  • Zhikharevich, Vladimir
  • Ostapov, Sergiy

Abstract

This paper is dedicated to the problem of constructing a cellular automata model of the process of directed crystallization of binary solutions. The occurring processes of redistribution of impurities and concentration overcooling are emphasized. Previously known idea of the mechanism of overcooling action concentration is discussed in the description. The results of calculation of impurity concentration distribution along the sample fragment during crystallization are presented. Dependence of the temperature of the melting phase transition on the value of the impurity concentration is determined basing on the calculated impurity distribution. Graphic examples of the varieties of uneven impurity distribution as a result of overcooling concentration of the melt are given.

Suggested Citation

  • Zhikharevich, Vladimir & Ostapov, Sergiy, 2016. "Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata techniqueAuthor-Name: Shumylyak, Liliya," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 336-354.
    • Handle: RePEc:eee:apmaco:v:290:y:2016:i:c:p:336-354
    DOI: 10.1016/j.amc.2016.06.012
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    References listed on IDEAS

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    1. Juan Miguel Benito & Penélope Hernández, 2007. "Modelling Segregation Through Cellular Automata: A Theoretical Answer," Working Papers. Serie AD 2007-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Janssens, K.G.F., 2010. "An introductory review of cellular automata modeling of moving grain boundaries in polycrystalline materials," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(7), pages 1361-1381.
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