Modeling of impurities segregation phenomenon in the melt crystallization process by the continuous cellular automata technique

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• 作者：Liliya Shumylyak^a ; ^{lshumylyak@mail.ru" class="auth_mail" title="E-mail the corresponding author} ; Vladimir Zhikharevich^b ; ^{vzhikhar@mail.ru" class="auth_mail" title="E-mail the corresponding author} ; Sergiy Ostapov^b ; ^{sergey.ostapov@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Cellular automata ; Phase transition ; Segregation ; Concentration overcooling
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 November 2016
• 年：2016
• 卷：290
• 期：Complete
• 页码：336-354
• 全文大小：5427 K

文摘

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.