A Variational Approach for Estimating the Temperature Distribution in the Body of a Rectangular Parallelepiped Shape-Reference-Cited by-同舟云学术

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

Published:2022-06-23 Issue: Volume:16 Page:65-74
ISSN:1998-4448
Container-title:International Journal of Mechanics
language:en
Short-container-title:

Author:

Rysgul Kazykhan¹,Azat Tashev²,Rakhatay Aitbayeva¹,Anarbay Kudaykulov²,Murat Kunelbayev²,Dauren Kuanysh³,Arshidinova Mukaddas²

Affiliation:

1. Al-Farabi Kazakh National University, 050040, Almaty, Kazakhstan

2. Institute of Information and Computing Technologies Committee of Science MON RK, 050040, Almaty, Kazakhstan

3. Almaty Academy named after Makan Esbulatov of the Ministry of Internal Affairs of the Republic of Kazakhstan, 050040, Almaty, Kazakhstan

Abstract

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.

Publisher

North Atlantic University Union (NAUN)

Subject

Electrical and Electronic Engineering,General Physics and Astronomy

Reference13 articles.

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3. Arshidinova М, Begaliyeva K, Kudaykulov А, Tashev А, “Numerical Modeling Of Nonlinear Thermomechanical Processes in a rod of variable cross section in the presence of heat flow”, International Conference on Information Science and Control Engineering,2018, pp. 351-354.

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1. Development of Methods and Computational Algorithms Parallelepiped in the Presence of Temperature and Heat Exchange;International Journal of Mechanics;2023-07-10