[Modèle analytique pour la résistance thermique due à des contacts circulaires mobiles multiples à la surface d'un solide revêtu]
Le transfert de chaleur à l'interface de deux solides en contact glissant/roulant dépend des phénomènes de constriction qui ont lieu au voisinage des aspérités. Pour étudier ce problème, les micro-contacts sont représentés par de multiples sources de chaleur circulaires mobiles à la surface du solide. Celui-ci est constitué d'un substrat et d'un revêtement. La résistance thermique de constriction due à ces contacts est déterminée analytiquement dans cet article. La solution est développée à partir des transformées intégrales de Fourier. Elle est valable quelles que soient la vitesse et la taille relative du contact.
The heat transfer at the interface of two solids in sliding/rolling contact depends on the constriction phenomenon which occurs at the vicinity of asperities. In order to study this problem, the micro-contacts are represented by multiple moving circular heat sources on the surface of a body. The studied body is constituted of a substrate and a surface coating. The thermal constriction resistance due to those contacts is determined analytically in this paper. The solution is developed by using the integral Fourier transforms, and it is valid regardless of the velocity and the relative contact size values.
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Mots-clés : Transferts termiques, Résistance thermique de constriction, Résistance thermique de contact, Conduction de la chaleur, Sources de chaleur circulaires, Revêtement, Interface, Film
Abderrahmane Baïri 1
@article{CRMECA_2003__331_8_557_0, author = {Abderrahmane Ba{\"\i}ri}, title = {Analytical model for thermal resistance due to multiple moving circular contacts on a coated body}, journal = {Comptes Rendus. M\'ecanique}, pages = {557--562}, publisher = {Elsevier}, volume = {331}, number = {8}, year = {2003}, doi = {10.1016/S1631-0721(03)00132-3}, language = {en}, }
TY - JOUR AU - Abderrahmane Baïri TI - Analytical model for thermal resistance due to multiple moving circular contacts on a coated body JO - Comptes Rendus. Mécanique PY - 2003 SP - 557 EP - 562 VL - 331 IS - 8 PB - Elsevier DO - 10.1016/S1631-0721(03)00132-3 LA - en ID - CRMECA_2003__331_8_557_0 ER -
Abderrahmane Baïri. Analytical model for thermal resistance due to multiple moving circular contacts on a coated body. Comptes Rendus. Mécanique, Volume 331 (2003) no. 8, pp. 557-562. doi : 10.1016/S1631-0721(03)00132-3. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(03)00132-3/
[1] Physical bases of the imperfect thermal contact conditions between two sliding bodies, Rev. Générale Therm., Volume 386 (1994), pp. 86-91 (in French)
[2] Thermal constriction resistance for sliding contacts, Int. J. Heat Mass Transfer, Volume 39 (1996), pp. 3717-3724 (in French)
[3] Velocity and relative contact size effect on the thermal constriction resistance in sliding solids, ASME J. Heat Transfer, Volume 119 (1997), pp. 173-177
[4] Les températures de surface dans des conditions de graissage sous extrême pression, Proc. Sd. World Petrol. Cong., Volume 3 (1937), pp. 1471-1486
[5] Moving sources of heat and the temperature at sliding contacts, Proc. Roy. Soc. NSW, Volume 56 (1942), pp. 203-224
[6] Temperature rise at the sliding contact interface for a coated semi-infinite body, ASME J. Tribology, Volume 115 (1993), pp. 1-9
[7] Thermal constriction resistance of coated solids. Static and sliding contacts, Int. Comm. Heat Mass Transfer, Volume 26 (1999), pp. 299-309
[8] The temperature of rubbing surfaces, Wear, Volume 2 ( 1958/59 ), pp. 438-455
[9] Maximum and average flash temperatures in sliding contacts, ASME J. Tribology, Volume 116 (1994), pp. 167-174
[10] An exact explicit analytical solution of steady-state temperature in a half space submitted to a circular moving heat source, ASME J. Tribology, Volume 125 (2003)
[11] Table of Integrals Series and Products, Academic Press, New York, 1965
[12] Thermal contact resistance in state regime. Influence of contact shapes, Rev. Générale Therm., Volume 334 (1989), pp. 557-563 (in French)
[13] On the nondimensionalization of constriction resistance for semi-infinite heat flux tube, ASME J. Heat Transfer, Volume 111 (1989), pp. 804-807
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