Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 2018, Volume 56, Issue 2, Pages 235–240
DOI: https://doi.org/10.7868/S0040364418020102
(Mi tvt10796)
 

This article is cited in 11 scientific papers (total in 11 papers)

Heat and Mass Transfer and Physical Gasdynamics

The variational form of the mathematical model of a thermal explosion in a solid body with temperature-dependent thermal conductivity

V. S. Zarubin, G. N. Kuvyrkin, I. Yu. Savelyeva

Bauman Moscow State Technical University
References:
Abstract: The variational form of a mathematical model of a thermal explosion has been developed based on a variational formulation of a nonlinear problem of stationary thermal conductivity in a homogeneous solid body. The model takes the temperature dependence of the thermal conductivity of a solid body into account. The presented example of quantitative analysis of the model demonstrates a method for finding the combination of parameters for determining a thermal explosion in a plate with an exponential temperature dependence of the thermal conductivity. At the same time, the analysis allows one to identify the number of steady-state temperature distributions inside a body whose energy release intensifies with a temperature increase.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 9.7784.2017/БЧ
9.2422.2017/ПЧ
This work was supported by the Ministry of Education and Science of the Russian Federation (state tasks 9.7784.2017/BCh and 9.2422.2017/PCh).
Received: 19.12.2016
Accepted: 18.04.2017
English version:
High Temperature, 2018, Volume 56, Issue 2, Pages 223–228
DOI: https://doi.org/10.1134/S0018151X18010212
Bibliographic databases:
Document Type: Article
UDC: 536.2
Language: Russian
Citation: V. S. Zarubin, G. N. Kuvyrkin, I. Yu. Savelyeva, “The variational form of the mathematical model of a thermal explosion in a solid body with temperature-dependent thermal conductivity”, TVT, 56:2 (2018), 235–240; High Temperature, 56:2 (2018), 223–228
Citation in format AMSBIB
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\paper The variational form of the mathematical model of a thermal explosion in a solid body with temperature-dependent thermal conductivity
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\issue 2
\pages 235--240
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\crossref{https://doi.org/10.7868/S0040364418020102}
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\jour High Temperature
\yr 2018
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\issue 2
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  • https://www.mathnet.ru/eng/tvt/v56/i2/p235
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
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