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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 517, Pages 57–65
DOI: https://doi.org/10.31857/S2686954324030101 (Mi danma531) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Mathematical model of thermocurrents based on calculation of electrical resistance and thermopower as an integral over electron energy

G. G. Lazarevaa, V. A. Popova, V. A. Okisheva, A. V. Burdakovb

a Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow, Russia
b G I. Budker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S2686954324030101
Abstract: We consider a model of current distribution in a tungsten sample and a vapor layer produced when the surface is heated by an electron beam. The model is based on solving electrodynamic equations and a two-phase Stefan problem in cylindrical coordinates. Based on the temperature distribution in the computational domain, the electrical resistance and thermopower are calculated via an integral over the electron energy at each grid node. The electromagnetic field configuration is a possible source of rotation of the substance, which is observed in experiments. The simulation results demonstrate the role of thermionic emission and the way of model development. The model parameters are taken from experiments at the Beam of Electrons for materials Test Applications (BETA) facility created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences.
Keywords: mathematical modeling, tungsten erosion, stefan problem, electrodynamics equations, electrical resistance, thermopower, thermionic emission.
Funding agency Grant number
Russian Science Foundation 23-21-00134
This work was supported by the Russian Science Foundation, project no. 23-21-00134, https://rscf.ru/en/project/23-21-00134/.
Received: 31.03.2024
Revised: 06.05.2024
Accepted: 08.05.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 3, Pages 238–245
DOI: https://doi.org/10.1134/S1064562424601070
Bibliographic databases:
Document Type: Article
UDC: 513.63
Language: Russian
Citation: 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”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 57–65; Dokl. Math., 109:3 (2024), 238–245
Citation in format AMSBIB
\Bibitem{LazPopOki24}
\by G.~G.~Lazareva, V.~A.~Popov, V.~A.~Okishev, A.~V.~Burdakov
\paper Mathematical model of thermocurrents based on calculation of electrical resistance and thermopower as an integral over electron energy
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 517
\pages 57--65
\mathnet{http://mi.mathnet.ru/danma531}
\crossref{https://doi.org/10.31857/S2686954324030101}
\elib{https://elibrary.ru/item.asp?id=69204690}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 3
\pages 238--245
\crossref{https://doi.org/10.1134/S1064562424601070}
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    • This publication is cited in the following 1 articles:
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