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Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, Issue 6, Pages 66–77 (Mi vyurm110)  

This article is cited in 1 scientific paper (total in 1 paper)

Physics

Mathematical description of the nucleation in supercooled eutectic melt

A. D. Drozin, M. V. Dudorov, V. E. Roshchin, P. A. Gamov, L. D. Menikhes

South Ural State University

Abstract: Theoretical research and mathematical description of a supercooled eutectic melt are carried out. The special emphasis is placed on the mutual influence of dynamically changing parameters (concentrations of components and the temperature of the melt) on processes of formation and growth of crystal clusters of various phases in a supercooled melt. A mathematical description is obtained. The equations of the mathematical model are used to calculate nucleation and growth of crystal clusters in $\mathrm{Fe}$-$\mathrm{B}$ melt at various initial concentrations of components and different supercooling. This allowed to receive new information about nucleation and crystallization eutectic melts.

Keywords: nucleation, eutectic, supercooling, nucleation model, growth model.

Full text: PDF file (871 kB)
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UDC: 544.234.2
Received: 04.03.2012

Citation: A. D. Drozin, M. V. Dudorov, V. E. Roshchin, P. A. Gamov, L. D. Menikhes, “Mathematical description of the nucleation in supercooled eutectic melt”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 66–77

Citation in format AMSBIB
\Bibitem{DroDudRos12}
\by A.~D.~Drozin, M.~V.~Dudorov, V.~E.~Roshchin, P.~A.~Gamov, L.~D.~Menikhes
\paper Mathematical description of the nucleation in supercooled eutectic melt
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2012
\issue 6
\pages 66--77
\mathnet{http://mi.mathnet.ru/vyurm110}


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    This publication is cited in the following articles:
    1. N. M. Yaparova, “Chislennyi metod resheniya obratnoi zadachi s neizvestnymi nachalnymi usloviyami dlya nelineinogo parabolicheskogo uravneniya”, Vestn. YuUrGU. Ser. Vych. matem. inform., 5:2 (2016), 43–58  mathnet  crossref  elib
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