一种估算矩形平行六面体温度分布的变分方法

Q3 Engineering

International Journal of Mechanics Pub Date : 2022-06-23 DOI:10.46300/9104.2022.16.8

Kazykhan Rysgul, Tashev Azat, Aitbayeva Rakhatay, Kudaykulov Anarbay, Kunelbayev Murat, Kuanysh Dauren, M. Arshidinova

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引用次数: 1

摘要

本研究的新颖之处在于，当热流进入矩形平行六面体的一个面，与环境的热交换发生在另一侧时，用变分方法估计了矩形平行六面体的温度分布。同时，当矩形平行六面体的其余面是隔热的或反之亦然时，考虑选项。我对这项工作的贡献是，我们计算了将一个矩形平行六面体划分为不同数量的元素时的温度分布规律。结果表明，将直角平行六面体的边长分成三段或四段，就可以得到可接受的精度。另外，在其他条件相同的情况下，对矩形平行六面体和尺寸相近的棒材的温度分布规律进行了比较。它们之间的细微差别是显而易见的。

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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A Variational Approach for Estimating the Temperature Distribution in the Body of a Rectangular Parallelepiped Shape

The novelty of this study is a variational approach for estimating the temperature distribution in the body of a rectangular parallelepiped shape when a heat flow enters one of the faces of a rectangular parallelepiped, and heat exchange with the environment occurs on the opposite side. At the same time, options are considered when the remaining faces of a rectangular parallelepiped are thermally insulated or vice versa. My contribution of this work is that we calculated the laws of temperature distribution when dividing a rectangular parallelepiped into a different number of elements. It is shown that acceptable accuracy is achieved already by dividing the sides of a rectangular parallelepiped into three or 4 parts. In addition, a comparison of the temperature distribution law for a rectangular parallelepiped and a rod close in size, other things being equal, was carried out. Their slight difference is shown.

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来源期刊

International Journal of Mechanics Engineering-Computational Mechanics

CiteScore

1.60

自引率

0.00%

发文量