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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
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.
Received: 19.12.2016 Accepted: 18.04.2017
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
Linking options:
https://www.mathnet.ru/eng/tvt10796 https://www.mathnet.ru/eng/tvt/v56/i2/p235
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Abstract page: | 282 | Full-text PDF : | 101 | References: | 39 |
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