| Issue |
E3S Web of Conf.
Volume 389, 2023
Ural Environmental Science Forum “Sustainable Development of Industrial Region” (UESF-2023)
|
|
|---|---|---|
| Article Number | 02003 | |
| Number of page(s) | 7 | |
| Section | Environmental Protection and Pollution Control | |
| DOI | https://doi.org/10.1051/e3sconf/202338902003 | |
| Published online | 31 May 2023 | |
Finding the temperature distribution in a rectangular plate with variable thermal conductivity in one coordinate
Sergo Ordzhonikidze Russian State University for Geological Prospecting, 23, Miklouho-Maclay str., 117997 Moscow, Russia
* Corresponding author: kanareykins@mail.ru
The work is devoted to the issues of stationary heat transfer. The article presents a solution for the distribution of the temperature field in a rectangular plate. At the same time, the law of change of thermal conductivity along one of the coordinates is known. Heat exchange at the two opposite ends of the plate occurs under boundary conditions of the third kind, there is no heat exchange at the other two. The solution is found by decomposition into a functional series. As a result, an analytical expression of the plate temperature distribution is obtained in the form of a Fourier series containing modified zero-order Bessel functions.
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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