M. V. Dudorov, A. D. Drozin, V. E. Roshchin, P. A. Gamov, L. D. Menikhes, “Mathematical description of crystallization by the virtual volume method”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 78

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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika", 2012, Issue 6, Pages 78–88 (Mi vyurm111)

Physics

Mathematical description of crystallization by the virtual volume method

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

South Ural State University

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Abstract: Using the virtual volume method, a mathematical description of the crystallization of multicomponent metallic melts is obtained. Model takes into account the effects of dynamically changing parameters such as component concentrations and temperature, on the processes of nucleation and growth of the nuclei.

Keywords: nucleation, eutectic, supercooling, growth model.

Received: 04.03.2012

Document Type: Article

UDC: 544.234.2

Language: Russian

Citation: M. V. Dudorov, A. D. Drozin, V. E. Roshchin, P. A. Gamov, L. D. Menikhes, “Mathematical description of crystallization by the virtual volume method”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2012, no. 6, 78–88

Citation in format AMSBIB

\Bibitem{DudDroRos12}

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

\paper Mathematical description of crystallization by the virtual volume method

\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.

\yr 2012

\issue 6

\pages 78--88

\mathnet{http://mi.mathnet.ru/vyurm111}

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