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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 177–185
DOI: https://doi.org/10.14498/vsgtu701 (Mi vsgtu701) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modeling

On thermal stability of multi layer plane walls when heating by temperature-dependent internal heat sources

B. V. Averin

Dept. of General Theoretical Disciplines, Syzran' Branch of Samara State Technical University, Syzran', Samara region
Full-text PDF (196 kB) Citations (2)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu701
Abstract: Sequence of obtaining of analytical solution for a stationary non-linear problem of thermal conductivity for a multi layer plane wall with temperature-dependent internal heat source is presented. Curves are plotted that allow to separated the region of stationary temperature distribution from region of unrestricted growth of temperature (thermal explosion region) are plotting.
Keywords: analytical solution, non-linear problem, multi layer design, internal heat source, thermal explosion.
Original article submitted 08/VII/2009
revision submitted – 21/X/2009
Bibliographic databases:
Document Type: Article
UDC: 517.958+536.2+539.219.3
MSC: 80A20, 35A09
Language: Russian
Citation: B. V. Averin, “On thermal stability of multi layer plane walls when heating by temperature-dependent internal heat sources”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 177–185
Citation in format AMSBIB
\Bibitem{Ave09}
\by B.~V.~Averin
\paper On thermal stability of multi layer plane walls when heating by temperature-dependent internal heat sources
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 177--185
\mathnet{http://mi.mathnet.ru/vsgtu701}
\crossref{https://doi.org/10.14498/vsgtu701}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p177
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :216
    References:41
    First page:1
     
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