Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.

Reduction of a Bessel integral solution for the average transient temperature change at the surface of a constant flux thermal source/sink of circular disk aspect embedded in an otherwise insulating plane boundary of a homogeneous, isotropic, and conducting half-space is reported. The analytic solut...

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Main Authors: Pons, William, Pons, Stanley
Format: Article
Language:English
Published: Académie des sciences 2023-01-01
Series:Comptes Rendus. Mécanique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.158/
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author Pons, William
Pons, Stanley
author_facet Pons, William
Pons, Stanley
author_sort Pons, William
collection DOAJ
description Reduction of a Bessel integral solution for the average transient temperature change at the surface of a constant flux thermal source/sink of circular disk aspect embedded in an otherwise insulating plane boundary of a homogeneous, isotropic, and conducting half-space is reported. The analytic solution comprises algebraic expressions of tabulated functions.
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spelling doaj.art-237509de4d1d421fa6fa5fc8b85b10482023-10-24T14:21:13ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-01-01351G1172710.5802/crmeca.15810.5802/crmeca.158Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.Pons, William0Pons, Stanley1https://orcid.org/0000-0002-6725-4713Department of Chemistry, Clemson University, Clemson SC 29634, USADepartment of Chemistry, University of Utah, Salt Lake City, UT 84112, USA; Pons(EI), 14, rue Eugene Giraud, 06560 Valbonne, FranceReduction of a Bessel integral solution for the average transient temperature change at the surface of a constant flux thermal source/sink of circular disk aspect embedded in an otherwise insulating plane boundary of a homogeneous, isotropic, and conducting half-space is reported. The analytic solution comprises algebraic expressions of tabulated functions.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.158/Embedded diskAverage temperatureAnalytic solutionHeat equationConstant flux
spellingShingle Pons, William
Pons, Stanley
Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
Comptes Rendus. Mécanique
Embedded disk
Average temperature
Analytic solution
Heat equation
Constant flux
title Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
title_full Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
title_fullStr Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
title_full_unstemmed Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
title_short Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.
title_sort average surface temperature over the circular disk heat source sink embedded in an insulating boundary plane analytic solution
topic Embedded disk
Average temperature
Analytic solution
Heat equation
Constant flux
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.158/
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