Variational estimates of the parameters of a thermal explosion of a stationary medium in an arbitrary domain

Zarubin V. S.; Kuvyrkin G. N.; Savelyeva I. Y.

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Variational estimates of the parameters of a thermal explosion of a stationary medium in an arbitrary domain

机译：任意域内固定介质热爆炸参数的变分估计

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摘要

The variational formulation of the nonlinear problem of steady heat conduction in an arbitrary configuration domain is applied to investigate the conditions for the existence of a steady-state temperature distribution in a stationary medium with the intensity of volumetric energy release rising with increasing temperature. Based on the relations of the time-independent theory of thermal explosion, a variational model of this phenomenon is constructed, which makes it possible to obtain estimates of the critical values of the parameters that determine the temperature state of the medium preceding the thermal explosion. The examples of a comparative analysis of such values for a solid and a hollow cylinder of finite length are given. (C) 2019 Elsevier Ltd. All rights reversed.

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《International Journal of Heat and Mass Transfer》 |2019年第6期|614-619|共6页
作者
Zarubin V. S.; Kuvyrkin G. N.; Savelyeva I. Y.;
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作者单位

Bauman Moscow State Tech Univ, Moscow, Russia;

Bauman Moscow State Tech Univ, Moscow, Russia;

Bauman Moscow State Tech Univ, Moscow, Russia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Nonlinear heat conduction problem; Variational formulation; Functional; Thermal explosion;

机译：非线性热传导问题;变分公式;功能;热爆炸;

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Variational estimates of the parameters of a thermal explosion of a stationary medium in an arbitrary domain

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