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Sibirskii Zhurnal Industrial'noi Matematiki
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Sibirskii Zhurnal Industrial'noi Matematiki, 2021, Volume 24, Number 2, Pages 97–108
DOI: https://doi.org/10.33048/SIBJIM.2021.24.207 (Mi sjim1132) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical simulation of the distribution of the electron beam current during pulsed heating of a metal target

G. G. Lazarevaab, V. A. Popovb, A. S. Arakcheevcd, A. V. Burdakovcd, I. V. Shwabbe, V. L. Vaskevichbf, A. G. Maksimovab, N. E. Ivashinb, I. P. Oksogoevaa

a People's Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow 117198, Russia
b Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
c Novosibirsk State Technical University, pr. Karla Marksa, 20, korp. 1, Novosibirsk 630073, Russia
d Budker Institute of Nuclear Physics SB RAS, pr. Akad. Lavrentyeva 11, Novosibirsk 630090, Russia
e Federal Research Center for Information and Computational Technologies, pr. Akad. Lavrentyeva 6, Novosibirsk 630090, Russia
f Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
Full-text PDF (735 kB) Citations (4)
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DOI: https://doi.org/10.33048/SIBJIM.2021.24.207
Abstract: We study a model of the current distribution during heating of the surface of a tungsten sample under pulsed exposure to an electron beam. The model is based on solving the equations of electrodynamics and the two-phase Stefan problem for calculating the temperature in the sample region using a cylindrical coordinate system. The model parameters were taken from experiments at the «Beam of Electrons for materials Test Applications» (BETA) stand created at the Budker Institute of Nuclear Physics. A particular case of axial symmetry is considered without taking the electromotive forces into account. The current is considered as a possible source of rotation of the substance which is observed in the experiment. The values of the current and the acceleration of matter at a surface temperature of over 6000 K were obtained. The results of the performed simulation show that, to obtain an acceleration capable of initiating the experimentally observed rotation of the melt, it is necessary to take into account some alternative mechanisms of creating a current in the system with consideration of the evaporation of tungsten above the plate.
Keywords: mathematical simulation, potential of current, distribution of electron beam current, rotation of tungsten melt, method of upper relaxation.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00422
The authors were supported by the Russian Foundation for Basic Research (project no. 19-01-00422).
Received: 16.02.2021
Revised: 28.02.2021
Accepted: 15.04.2021
English version:
Journal of Applied and Industrial Mathematics, 2021, Volume 15, Issue 2, Pages 292–301
DOI: https://doi.org/10.1134/S1990478921020101
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: G. G. Lazareva, V. A. Popov, A. S. Arakcheev, A. V. Burdakov, I. V. Shwab, V. L. Vaskevich, A. G. Maksimova, N. E. Ivashin, I. P. Oksogoeva, “Mathematical simulation of the distribution of the electron beam current during pulsed heating of a metal target”, Sib. Zh. Ind. Mat., 24:2 (2021), 97–108; J. Appl. Industr. Math., 15:2 (2021), 292–301
Citation in format AMSBIB
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\by G.~G.~Lazareva, V.~A.~Popov, A.~S.~Arakcheev, A.~V.~Burdakov, I.~V.~Shwab, V.~L.~Vaskevich, A.~G.~Maksimova, N.~E.~Ivashin, I.~P.~Oksogoeva
\paper Mathematical simulation of the distribution of the electron beam current during pulsed heating of a metal target
\jour Sib. Zh. Ind. Mat.
\yr 2021
\vol 24
\issue 2
\pages 97--108
\mathnet{http://mi.mathnet.ru/sjim1132}
\crossref{https://doi.org/10.33048/SIBJIM.2021.24.207}
\elib{https://elibrary.ru/item.asp?id=47508875}
\transl
\jour J. Appl. Industr. Math.
\yr 2021
\vol 15
\issue 2
\pages 292--301
\crossref{https://doi.org/10.1134/S1990478921020101}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85116307706}
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  • https://www.mathnet.ru/eng/sjim/v24/i2/p97
    • This publication is cited in the following 4 articles:
    1. G. G. Lazareva, V. A. Popov, V. A. Okishev, A. V. Burdakov, “Mathematical model of thermocurrents based on calculation of electrical resistance and thermopower as an integral over electron energy”, Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, 517:1 (2024), 57  crossref
    2. G. G. Lazareva, A. G. Maksimova, “Chislennoe modelirovanie rasprostraneniya parov volframa nad nagrevaemoi poverkhnostyu”, Sib. zhurn. industr. matem., 25:3 (2022), 81–92  mathnet  crossref
    3. G. G. Lazareva, A. G. Maksimova, “Numerical Simulation of the Propagation of Tungsten Vapor above a Heated Surface”, J. Appl. Ind. Math., 16:3 (2022), 472  crossref
    4. Galina Lazareva, Vladimir Korneev, Anastasia Maksimova, Aleksey Arakcheev, “Parallel Algorithm for Calculating the Dynamics of the Electron Beam Current Distribution during Pulsed Heating of a Metal Target”, J. Phys.: Conf. Ser., 2028:1 (2021), 012009  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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