E3S Web Conf.
Volume 371, 2023International Scientific Conference “Fundamental and Applied Scientific Research in the Development of Agriculture in the Far East” (AFE-2022)
|Number of page(s)||6|
|Section||Innovations in Environmental Engineering|
|Published online||28 February 2023|
Temperature distribution in an elliptical body without internal heat sources under boundary conditions of the third kind with partial adiabatic isolation
Sergo Ordzhonikidze Russian State University for Geological Prospecting, 117997 Moscow, Russia
* Corresponding author: firstname.lastname@example.org
The article deals with the distribution of the temperature field in an elliptical body without internal heat sources. In this case, the boundary conditions are boundary conditions of the third kind. The solution is found when moving to an elliptic coordinate system. The author has obtained an analytical solution for the distribution of the temperature field in a body with an elliptical cross section of infinite length at a given ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric 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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