扩展热源对带隔热基底的异形极正交异性环形板内温度分布的影响

Q4 Mathematics

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Pub Date : 2021-08-05 DOI:10.33581/2520-6508-2021-2-99-104

U. V. Karalevich, D. G. Medvedev

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引用次数: 0

摘要

本文给出了外边界有N个扩展热源的具有隔热基底的异形极正交各向异性环形板的稳态热传导问题的解。这种板中的温度分布将是非轴对称的。通过求解相应的第二类Volterra积分方程，求解了随机剖面各向异性环形板的稳态热传导问题。给出了随机截面各向异性环形板的温度计算公式。记录了指数型极正交各向异性环形板稳态热传导问题的精确解。这种各向异性板的外边界N个扩展热源的温度分布比外边界N个点热源的温度分布更为复杂。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Influence of extended heat sources on the temperature distribution in profiled polar-orthotropic annular plates with heat-insulated bases

The solution of the stationary heat conduction problem for profiled polar-orthotropic annular plates with heat-insulated bases from N extended heat sources at their external border is presented. The temperature distribution in such plates will be non-axisymmetric. The solution of the stationary heat conduction problem for anisotropic annular plates of an random profile is resolved through the solution of the corresponding Volterra integral equation of the second kind. The formula of a temperature calculations in anisotropic annular plates of an random profile is given. The exact solution of stationary heat conduction problem for polar-orthotropic annular plate of an exponential profile is recorded. The temperature distribution in such anisotropic plate from N extended heat sources at its outer border is more complex than in the case of temperature distribution from N point heat sources at their external border.

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来源期刊

Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika Mathematics-Algebra and Number Theory

CiteScore

0.50

自引率

0.00%

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审稿时长

16 weeks