E3S Web Conf.
Volume 258, 2021Ural Environmental Science Forum “Sustainable Development of Industrial Region” (UESF-2021)
|Number of page(s)||6|
|Section||Energy Efficiency in Construction|
|Published online||20 May 2021|
Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
Sergo Ordzhonikidze Russian State University For Geological Prospecting, 117997, Miklouho-Maclay St. 23., Moscow, Russia
* Corresponding author: firstname.lastname@example.org
The article calculates the temperature field in an elliptical body with internal heat dissipation. In this case, the boundary conditions are boundary conditions of the third kind. The solution is located at the transition to the 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 with zero ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric functions.
© The Authors, published by EDP Sciences, 2021
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