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

William Pons; Stanley Pons

doi:10.5802/crmeca.158

Spontaneous articles

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

William Pons ¹; Stanley Pons ^2,³

¹ Department of Chemistry, Clemson University, Clemson SC 29634, USA
² Department of Chemistry, University of Utah, Salt Lake City, UT 84112, USA
³ Pons(EI), 14, rue Eugene Giraud, 06560 Valbonne, France

Comptes Rendus. Mécanique, Volume 351 (2023), pp. 17-27.

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

Abstract

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.

Received: 2022-10-31
Accepted: 2022-11-28
Published online: 2023-01-24

DOI: 10.5802/crmeca.158

Mots-clés : Embedded disk, Average temperature, Analytic solution, Heat equation, Constant flux

Author's affiliations:

William Pons ¹; Stanley Pons ^{2, 3}

¹ Department of Chemistry, Clemson University, Clemson SC 29634, USA
² Department of Chemistry, University of Utah, Salt Lake City, UT 84112, USA
³ Pons(EI), 14, rue Eugene Giraud, 06560 Valbonne, France

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     author = {William Pons and Stanley Pons},
     title = {Average {Surface} {Temperature} {Over} the {Circular} {Disk} {Heat} {Source/Sink} {Embedded} in an {Insulating} {Boundary} {Plane.} {Analytic} {Solution.}},
     journal = {Comptes Rendus. M\'ecanique},
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William Pons; Stanley Pons. Average Surface Temperature Over the Circular Disk Heat Source/Sink Embedded in an Insulating Boundary Plane. Analytic Solution.. Comptes Rendus. Mécanique, Volume 351 (2023), pp. 17-27. doi : 10.5802/crmeca.158. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.158/

References
Cited by

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[7] Martin Fleischmann; Stanley Pons; Debra Rolison; P. Schmidt Ultramicroelectrodes, Datatech, 1987

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