Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation

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 solut...

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Main Author:	Kanareykin Alexandr
Format:	Article
Language:	English
Published:	EDP Sciences 2021-01-01
Series:	E3S Web of Conferences
Online Access:	https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/34/e3sconf_uesf2021_09071.pdf

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spelling	doaj-d4ddcd816b6e420f9eb122dfb5b5984e2021-05-28T14:35:09ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012580907110.1051/e3sconf/202125809071e3sconf_uesf2021_09071Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolationKanareykin Alexandr0Sergo Ordzhonikidze Russian State University For Geological ProspectingThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/34/e3sconf_uesf2021_09071.pdf
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kanareykin Alexandr
spellingShingle	Kanareykin Alexandr Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation E3S Web of Conferences
author_facet	Kanareykin Alexandr
author_sort	Kanareykin Alexandr
title	Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
title_short	Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
title_full	Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
title_fullStr	Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
title_full_unstemmed	Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
title_sort	temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation
publisher	EDP Sciences
series	E3S Web of Conferences
issn	2267-1242
publishDate	2021-01-01
description	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.
url	https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/34/e3sconf_uesf2021_09071.pdf
work_keys_str_mv	AT kanareykinalexandr temperaturedistributioninanellipticalbodywithaninternalheatsourcewithpartialadiabaticisolation
_version_	1721423509804023808

Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation

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