Journal of the Belarusian State University. Mathematics and Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Journal of the Belarusian State University. Mathematics and Informatics:
Year:
Volume:
Issue:
Page:
Find






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


Journal of the Belarusian State University. Mathematics and Informatics, 2021, Volume 2, Pages 99–104
DOI: https://doi.org/10.33581/2520-6508-2021-2-99-104
(Mi bgumi35)
 

Theoretical and practical mechanics

Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases

V. V. Korolevicha, D. G. Medvedevb

a International Center of Modern Education, 61 Štěpánská Street, Prague 1, PSČ 110 00, Czech
b Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
References:
Abstract: The solution of the stationary heat conduction problem for profiled polar-orthotropic annular plates with heat-insulated bases from N extended heat sources at their external border is presented. The temperature distribution in such plates will be non-axisymmetric. The solution of the stationary heat conduction problem for anisotropic annular plates of an random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conduction problem for polar-orthotropic annular plate of an exponential profile is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.
Keywords: polar-orthotropic annular plate; temperature; stationary equation of heat conduction; Volterra integral equation of the second kind; plate of an exponential profile.
Document Type: Article
UDC: 539.32:536.2
Language: Russian
Citation: V. V. Korolevich, D. G. Medvedev, “Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases”, Journal of the Belarusian State University. Mathematics and Informatics, 2 (2021), 99–104
Citation in format AMSBIB
\Bibitem{KorMed21}
\by V.~V.~Korolevich, D.~G.~Medvedev
\paper Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases
\jour Journal of the Belarusian State University. Mathematics and Informatics
\yr 2021
\vol 2
\pages 99--104
\mathnet{http://mi.mathnet.ru/bgumi35}
\crossref{https://doi.org/10.33581/2520-6508-2021-2-99-104}
Linking options:
  • https://www.mathnet.ru/eng/bgumi35
  • https://www.mathnet.ru/eng/bgumi/v2/p99
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Journal of the Belarusian State University. Mathematics and Informatics
    Statistics & downloads:
    Abstract page:61
    Full-text PDF :16
    References:17
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024