| Issue |
E3S Web Conf.
Volume 376, 2023
International Scientific and Practical Conference “Environmental Risks and Safety in Mechanical Engineering” (ERSME-2023)
|
|
|---|---|---|
| Article Number | 01079 | |
| Number of page(s) | 5 | |
| Section | I Environmental Risks and Safety in Mechanical Engineering | |
| DOI | https://doi.org/10.1051/e3sconf/202337601079 | |
| Published online | 31 March 2023 | |
Cooling of an infinite rectangular plate with an adibatically insulated side
Sergo Ordzhonikidze Russian State University for Geological Prospecting, Miklouho-Maclay St. 23., 117997, Moscow, Russia
* Corresponding author: kanareykins@mail.ru
The work is devoted to the issues of non-stationary heat transfer. The article presents a solution for the distribution of the temperature field in an infinite rectangular plate with an adiabatically isolated side. As a result, an analytical expression of the plate temperature distribution is obtained in the form of a series containing trigonometric and exponential functions. The paper also considered special cases when the internal thermal resistance of thermal conductivity is greater and when the external resistance of heat output is less. Special cases were interpreted physically. One of the special cases leads the problem to a problem with boundary conditions of the first kind, when the surface temperature is constant, which indicates the reliability of the results obtained.
© 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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