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Zh. Vychisl. Mat. Mat. Fiz.:

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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 12, Pages 2094–2108 (Mi zvmmf10318)  

This article is cited in 6 scientific papers (total in 6 papers)

Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics

A. V. Minakovabc, M. V. Pervukhinc, D. V. Platonovabc, M. Yu. Khatsayukc

a Kazan National Research Technological University, ul. K. Marksa 10, Kazan, Tatarstan, 420111, Russia
b Kutateladze Institute of Thermal Physics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 1, Novosibirsk, 630090, Russia
c Institute of Engineering Physics and Radio Electronics, pr. Svobodnyi 79, Krasnoyarsk, 660041, Russia

Abstract: A complex mathematical model of aluminum casting and solidification in a variable electromagnetic field is constructed. The model is based on the solution of magnetohydrodynamic equations and the VOF method. Test results are presented for the model and the numerical algorithm proposed. The numerical results are compared with experimental data and computations of other authors and are found to be in good agreement. The model is used to simulate aluminum solidification under an electromagnetic field. The physical processes influencing ingot formation are analyzed.

Key words: MHD flows, casting, solidification, moving boundary problems, VOF method.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0003


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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:12, 2066–2079

Bibliographic databases:

UDC: 519.634
Received: 09.02.2015
Revised: 27.04.2015

Citation: A. V. Minakov, M. V. Pervukhin, D. V. Platonov, M. Yu. Khatsayuk, “Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2094–2108; Comput. Math. Math. Phys., 55:12 (2015), 2066–2079

Citation in format AMSBIB
\by A.~V.~Minakov, M.~V.~Pervukhin, D.~V.~Platonov, M.~Yu.~Khatsayuk
\paper Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2015
\vol 55
\issue 12
\pages 2094--2108
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 12
\pages 2066--2079

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    2. L. Klimes, T. Mauder, J. Stetina, P. Charvat, “A 3D front tracking slice model for continuous casting of aluminum”, Metal 2017: 26Th International Conference on Metallurgy and Materials, Tanger Ltd, 2017, 1813–1819  isi
    3. P. Svacek, “On numerical approximation of incompresible fluid flow with free surface influenced by surface tension”, Experimental Fluid Mechanics 2016, EFM'16, EPJ Web Conf., 143, ed. P. Dancova, EDP Sciences, 2017, UNSP 02122  crossref  isi
    4. O. Yu. Sidorov, F. N. Sarapulov, E. L. Shvydkiy, “Ingot macro structure simulation during the crystallization under the traveling magnetic field”, 2017 International Conference on Industrial Engineering, Applications and Manufacturing, ICIEAM 2017, IEEE, 2017  isi
    5. A. A. Shebeleva, A. V. Minakov, M. Yu. Chernetskii, P. A. Strizhak, “Deformation of a droplet of an organic watercoal fuel in a gas flow”, J. Appl. Mech. Tech. Phys., 59:4 (2018), 653–661  crossref  isi  scopus
    6. Shakhrai S.G., Dekterev A.A., Skuratov A.P., Minakov V A., Bazhin V.Yu., “Increase in Electrolyzer Energy Efficiency With a Self-Baking Anode”, Metallurgist, 62:9-10 (2019), 950–955  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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