Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 509, Pages 101–105
DOI: https://doi.org/10.31857/S2686954322600537 (Mi danma369) 		 
This article is cited in 3 scientific papers (total in 3 papers)

INFORMATICS

Mathematical modeling of melting tungsten exposed to pulsed laser beam

G. G. Lazarevaa, A. S. Arakcheevb, V. A. Popovb

a Peoples’ Friendship University of Russia, Moscow, Russia
b Budker Institute of Nuclear Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954322600537
Abstract: Melting in a tungsten plate exposed to a pulsed thermal load is numerically simulated by solving the two-phase Stefan problem. The free boundary is ignored during the calculation, since the numerical model is based on Samarskii’s approach. Calculations in axially symmetric geometry show that about a quarter of the incident energy is consumed by evaporation in the center of the melt region. This is five times more than estimates based on the solution of the one-dimensional heat equation. When tungsten evaporation is taken into account, the calculated and experimental cooling surface temperatures and radii of the melt region are in good agreement. The results of the mathematical modeling confirm the existence of an evaporation cooling mode when the tungsten is heated by an electron beam to temperatures significantly higher than the melting point.
Keywords: mathematical modeling, tungsten evaporation, Stefan’s problem.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 075-15-2022-1115
This work was supported by the Ministry of Science and Higher Education of the Russian Federation, megagrant agreement no. 075-15-2022-1115.
Received: 04.09.2022
Revised: 24.10.2022
Accepted: 26.12.2022
English version:
Doklady Mathematics, 2023, Volume 107, Issue 1, Pages 83–87
DOI: https://doi.org/10.1134/S1064562423700473
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: G. G. Lazareva, A. S. Arakcheev, V. A. Popov, “Mathematical modeling of melting tungsten exposed to pulsed laser beam”, Dokl. RAN. Math. Inf. Proc. Upr., 509 (2023), 101–105; Dokl. Math., 107:1 (2023), 83–87
Citation in format AMSBIB
\Bibitem{LazAraPop23}
\by G.~G.~Lazareva, A.~S.~Arakcheev, V.~A.~Popov
\paper Mathematical modeling of melting tungsten exposed to pulsed laser beam
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 509
\pages 101--105
\mathnet{http://mi.mathnet.ru/danma369}
\crossref{https://doi.org/10.31857/S2686954322600537}
\elib{https://elibrary.ru/item.asp?id=50436211}
\transl
\jour Dokl. Math.
\yr 2023
\vol 107
\issue 1
\pages 83--87
\crossref{https://doi.org/10.1134/S1064562423700473}
Linking options:
  • https://www.mathnet.ru/eng/danma369
  • https://www.mathnet.ru/eng/danma/v509/p101
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:85
    References:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024