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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2016, Volume 26, Issue 3, Pages 299–311 (Mi vuu540)  

MATHEMATICS

Influence of convective flow on the growth of pure and alloyed dendrite

O. V. Kazaka, P. K. Galenkob, D. V. Alexandrovc

a Department of Mathematical Physics, Ural Federal University, pr. Lenina, 51, Yekaterinburg, 620000, Russia
b Faculty of Physics and Astronomy, Friedrich Schiller University, Jena, D-07743, Germany
c Department of Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, pr. Lenina, 51, Yekaterinburg, 620000, Russia

Abstract: The paper presents the model of anisotropic growth of dendritic crystallization of chemically pure and binary liquid (solution or melt) based on forced convection of the liquid phase. The dependencies of the growth rate and the radius of the top of a dendrite from under-cooling fluid in cases of a chemically pure material and alloys are presented. A comparative analysis of the influence of forced convection on the dendrite growth kinetics is carried out. Evaluation of growth rate and morphology of dendrite by high-speed crystal growth model was done. The contribution of convective flow and the anisotropic properties of the liquid-crystal boundary were taking into account. The model is also used hyperbolic diffusion equation to describe the non-equilibrium impurity capture by crystal surface, which occurs under the rapid crystals growth.

Keywords: crystallization, dendrite growth, numerical simulation, convection.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-31-06000 мол-а-дк
Ural Federal University named after the First President of Russia B. N. Yeltsin


DOI: https://doi.org/10.20537/vm160301

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Document Type: Article
UDC: 51-72
MSC: 76D07, 76M45
Received: 15.05.2016

Citation: O. V. Kazak, P. K. Galenko, D. V. Alexandrov, “Influence of convective flow on the growth of pure and alloyed dendrite”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 26:3 (2016), 299–311

Citation in format AMSBIB
\Bibitem{KazGalAle16}
\by O.~V.~Kazak, P.~K.~Galenko, D.~V.~Alexandrov
\paper Influence of convective flow on the growth of pure and alloyed dendrite
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2016
\vol 26
\issue 3
\pages 299--311
\mathnet{http://mi.mathnet.ru/vuu540}
\crossref{https://doi.org/10.20537/vm160301}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3558443}
\elib{http://elibrary.ru/item.asp?id=26726578}


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  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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