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

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

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