Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 2, Pages 23–31 (Mi ivm9327)  
Cylindrical vessel with liquid in 3D temperature pattern

N. G. Gur'yanov, O. N. Tyuleneva

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (157 kB)
References:
PDF
HTML
Abstract: We obtain an exact solution of three-dimension thermoelasticity problem for a vessel with liquid in cylindrical coordinate system. Temperature pattern is defined based on a solution of thermal conductivity equation. Next, equations of unsymmetrical problem of the theory of elasticity are solved, besides, the system of resolving equations is reduced to four separate equations relatively to construction displacement. Several exact solutions of boundary-value problems are framed. The results are represented in the form of quite simple formulas.
Keywords: temperature pattern, thermoelasticity, integrable combinations, boundary-value problems, analytical solutions.
Received: 08.11.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 2, Pages 19–27
DOI: https://doi.org/10.3103/S1066369X18020032
Bibliographic databases:
Document Type: Article
UDC: 517.958:519.3
Language: Russian
Citation: N. G. Gur'yanov, O. N. Tyuleneva, “Cylindrical vessel with liquid in 3D temperature pattern”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 2, 23–31; Russian Math. (Iz. VUZ), 62:2 (2018), 19–27
Citation in format AMSBIB
\Bibitem{GurTul18}
\by N.~G.~Gur'yanov, O.~N.~Tyuleneva
\paper Cylindrical vessel with liquid in 3D temperature pattern
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2018
\issue 2
\pages 23--31
\mathnet{http://mi.mathnet.ru/ivm9327}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2018
\vol 62
\issue 2
\pages 19--27
\crossref{https://doi.org/10.3103/S1066369X18020032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000427510500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85044007815}
Linking options:
  • https://www.mathnet.ru/eng/ivm9327
  • https://www.mathnet.ru/eng/ivm/y2018/i2/p23
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:157
    Full-text PDF :40
    References:36
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024