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Sibirskii Zhurnal Industrial'noi Matematiki, 2024, Volume 27, Number 3, Pages 95–110
DOI: https://doi.org/10.33048/SIBJIM.2024.27.307
(Mi sjim1292)
 

Calculation of thermal currents in a tungsten plate and in a thin layer of tungsten vapor during pulse heating with allowance for temperature- and phase-dependent electrical resistance and thermo emf

G. G. Lazareva, V. A. Popov

RUDN University, Moscow, 117198 Russia
References:
DOI: https://doi.org/10.33048/SIBJIM.2024.27.307
Abstract: In this paper, we consider a model of current distribution in a tungsten specimen and the evaporated substance when the surface is heated by an electron beam. The model is based on solving the equations of electrodynamics and the two-phase Stefan problem for calculating the specimen area temperature in a cylindrical coordinate system. We use a model temperature distribution in a thin layer of evaporated tungsten that replicates the surface temperature. Thermal currents are obtained using approximate temperature dependences of the electrical resistance and thermo emf of tungsten and its vapor. The model parameters are taken from experiments at the Beam of Electrons for materials Test Applications (BETA) stand, created at the Budker Institute of Nuclear Physics of the Siberian Branch of the Russian Academy of Sciences.
Keywords: mathematical modelling, thermal current, tungsten, pulsed heating, successive overrelaxation method, BETA stand, divertor.
Funding agency Grant number
Russian Science Foundation 23-21-00134
This work was financially supported by the Russian Science Foundation, project no. 23-21-00134. https://rscf.ru/en/project/23-21-00134/
Received: 15.11.2023
Revised: 15.11.2023
Accepted: 17.04.2024
English version:
Journal of Applied and Industrial Mathematics, 2024, Volume 18, Issue 3, Pages 465–478
DOI: https://doi.org/10.1134/S1990478924030086
Document Type: Article
UDC: 519.632.6
Language: Russian
Citation: G. G. Lazareva, V. A. Popov, “Calculation of thermal currents in a tungsten plate and in a thin layer of tungsten vapor during pulse heating with allowance for temperature- and phase-dependent electrical resistance and thermo emf”, Sib. Zh. Ind. Mat., 27:3 (2024), 95–110; J. Appl. Industr. Math., 18:3 (2024), 465–478
Citation in format AMSBIB
\Bibitem{LazPop24}
\by G.~G.~Lazareva, V.~A.~Popov
\paper Calculation of thermal currents in a tungsten plate and in a thin layer of tungsten vapor during pulse heating with allowance for temperature- and phase-dependent electrical resistance and thermo emf
\jour Sib. Zh. Ind. Mat.
\yr 2024
\vol 27
\issue 3
\pages 95--110
\mathnet{http://mi.mathnet.ru/sjim1292}
\transl
\jour J. Appl. Industr. Math.
\yr 2024
\vol 18
\issue 3
\pages 465--478
\crossref{https://doi.org/10.1134/S1990478924030086}
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