A variational approach for estimating the temperature distribution in the body of a rectangular parallelepiped shape
Rysgul K. Azat T. Rakhatay A. Anarbay K. Murat K. Dauren K. Arshidinova M.
2022North Atlantic University Union NAUN
International Journal of Mechanics
2022#1665 - 74 pp.
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.
heat exchange , heat flow , rectangular parallelepiped , Variational approach thermal conductivity
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Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Institute of Information and Computing Technologies Committee of Science MON RK, Almaty, 050040, Kazakhstan
Almaty Academy named after Makan Esbulatov of the Ministry of Internal Affairs of the Republic of Kazakhstan, Almaty, 050040, Kazakhstan
Al-Farabi Kazakh National University
Institute of Information and Computing Technologies Committee of Science MON RK
Almaty Academy named after Makan Esbulatov of the Ministry of Internal Affairs of the Republic of Kazakhstan
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