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

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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.

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

Résumé

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.

Reçu le : 2022-10-31
Accepté le : 2022-11-28
Publié le : 2023-01-24

DOI : 10.5802/crmeca.158

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

Affiliations des auteurs :

William Pons ¹ ; Stanley Pons ^{2, 3}

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     title = {Average {Surface} {Temperature} {Over} the {Circular} {Disk} {Heat} {Source/Sink} {Embedded} in an {Insulating} {Boundary} {Plane.} {Analytic} {Solution.}},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {17--27},
     publisher = {Acad\'emie des sciences, Paris},
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     year = {2023},
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     language = {en},
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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/

Bibliographie
Cité par

[1] M. A. Selim; Irving Fatt; W. H. Somerton Temperature rise in a semi-infinite medium heated by a disc source, Nederl. Akad. Wet., Proc., Ser. A, Volume 66 (1963), pp. 705-720 | DOI | Zbl

[2] Satwindar S. Sadhal Transient thermal response of two solids in contact over a circular disk, Int. J. Heat Mass Transfer, Volume 23 (1980) no. 5, pp. 731-733 | DOI

[3] E. J. Norminton; J. H. Blackwell Transient heat flow from constant temperature spheroids and the thin circular disk, Q. J. Mech. Appl. Math., Volume 17 (1964) no. 1, pp. 65-72 | DOI | Zbl

[4] J. V. Beck; N. R. Keltner Green’s Function Partitioning Procedure Applied to Foil Heat Flux Gages, J.Heat Transfer, Volume 109 (1987) no. 2, pp. 274-280 | DOI

[5] K. Cole; J. V. Beck; A. Haji-Sheikh; B. Litkouhi Heat Conduction Using Greens Functions, CRC Press, 2010 | DOI

[6] Martin Fleischmann; Stanley Pons The behavior of microdisk and microring electrodes. Mass transport to the disk in the unsteady state: Chronopotentiometry, J. Electroanal. Chem., Volume 250 (1988) no. 2, pp. 257-267 | DOI

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

[8] J. V. Beck Average Transient Temperature Within A Body Heated By A Disk Heat Source, Heat Transfer, Thermal Control, and Heat Pipes (Progress in Aeronautics and Astronautics), Volume 70, American Institute of Aeronautics and Astronautics, Inc., 1979, pp. 3-24 | DOI

[9] Warren M. Rohsenow; James P. Hartnett; Young I. Cho Handbook of Heat Transfer, McGraw-Hill handbooks, McGraw-Hill Education, 1998

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