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Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences"
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Vol. 77 No. 1 (2022)

SOLUTION OF THE THERMAL CONDUCTIVITY EQUATION OF A RODS WITH A SQUARE SECTION BY THE DIFFERENCE METHOD

Published March 2022
T.Zh. Mazakov+− M.N. Kalimoldayev+− Sh.A. Dzhomartova+− K. Begaliyeva+− A. Mazakova+−
Institute of Information and Computational Technologies CS MES RK, Almaty
Al-Farabi Kazakh National University, Institute of Information and Computational Technologies CS MES RK
al-Farabi Kazakh National University, Almaty
Al-Farabi Kazakh National University, Institute of Information and Computational Technologies CS MES RK, Almaty
al-Farabi Kazakh National University, Almaty
DOI: 10.51889/2022-1.1728-7901.04
Abstract

The purpose of this work is to study the thermophysical state of a rod of constant cross section and limited length. A three-dimensional body is considered, the constant cross section of which has the shape of a square. It is assumed that the left end of the rod coincides with the origin of coordinates and the heat transfer coefficient is assumed to be constant over the entire surface of the rod. It is also assumed that the rod is subject to point temperature and surface heat transfer. The stated problem is solved by the difference method, i.e. the heat equation is approximated by a difference scheme. A program has been developed for finding the temperature distribution along the rod, which places the results of numerical calculations in several files. The results of numerical calculations in dynamics (over time) are displayed in the form of one-dimensional and two-dimensional graphs.

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Language

Қаз

Keywords
thermal conductivity thermal insulation temperature non-stationary thermophysical process energy
How to Cite

[1]
Мазаков, Т., Калимолдаев, М., Джомартова, Ш., Бегалиева, К. and Мазакова, Ә. 2022. SOLUTION OF THE THERMAL CONDUCTIVITY EQUATION OF A RODS WITH A SQUARE SECTION BY THE DIFFERENCE METHOD. Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 77, 1 (Mar. 2022), 33–40. DOI:https://doi.org/10.51889/2022-1.1728-7901.04.