Comptes Rendus
Comportement thermique d'un disque tournant soumis à des sources de chaleur surfaciques discrètes
Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 616-620.

Un modèle analytique est développé dans cette Note pour déterminer la distribution tridimensionnelle de la température dans un disque tournant soumis à des sources de chaleur surfaciques multiples. Les transformées intégrales de Fourier fréquentielle et de Hankel finie sont utilisées pour conduire les calculs analytiques. L'expression obtenue par cette technique est explicite et permet de calculer la température sans restriction sur les valeurs de la vitesse de rotation et des propriétés physiques. Parmi les applications industrielles pratiques concernées par ce modèle on peut citer le contact plaquette-disque dans les systèmes de freinage, ou bien les dispositifs tribologiques pion-disque.

Analytical model is developed in this Note to determine the 3D temperature distribution in a rotating disc subjected to multiple surface heat sources. The Fourier and Hankel integral transforms are used to perform the analytical calculations. The expression obtained by this way is explicit and allows one to compute the temperature without restriction on the rotating speed and the physical properties values. Some practice industrial applications are concerned by this calculation such the contact between pad and disc in braking systems, or the pin-on-disc tribological devices.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2009.06.031
Mots-clés : Transferts thermiques, Sources de chaleur mobiles, Pion-disque, Systèmes de freinage, Contacts glissants, Modèle analytique
Keywords: Heat transfer, Moving heat sources, Pin-on-disc, Braking systems, Sliding contacts, Analytical model

Ali Hocine 1 ; Nacim Alilat 1 ; Jean-Gabriel Bauzin 1

1 Laboratoire Thermique Interfaces Environnement, TIE, EA 4415, département GTE, Ville d'Avray, 50, rue de Sèvres, 92410 Ville d'Avray, France
@article{CRMECA_2009__337_8_616_0,
     author = {Ali Hocine and Nacim Alilat and Jean-Gabriel Bauzin},
     title = {Comportement thermique d'un disque tournant soumis \`a des sources de chaleur surfaciques discr\`etes},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {616--620},
     publisher = {Elsevier},
     volume = {337},
     number = {8},
     year = {2009},
     doi = {10.1016/j.crme.2009.06.031},
     language = {fr},
}
TY  - JOUR
AU  - Ali Hocine
AU  - Nacim Alilat
AU  - Jean-Gabriel Bauzin
TI  - Comportement thermique d'un disque tournant soumis à des sources de chaleur surfaciques discrètes
JO  - Comptes Rendus. Mécanique
PY  - 2009
SP  - 616
EP  - 620
VL  - 337
IS  - 8
PB  - Elsevier
DO  - 10.1016/j.crme.2009.06.031
LA  - fr
ID  - CRMECA_2009__337_8_616_0
ER  - 
%0 Journal Article
%A Ali Hocine
%A Nacim Alilat
%A Jean-Gabriel Bauzin
%T Comportement thermique d'un disque tournant soumis à des sources de chaleur surfaciques discrètes
%J Comptes Rendus. Mécanique
%D 2009
%P 616-620
%V 337
%N 8
%I Elsevier
%R 10.1016/j.crme.2009.06.031
%G fr
%F CRMECA_2009__337_8_616_0
Ali Hocine; Nacim Alilat; Jean-Gabriel Bauzin. Comportement thermique d'un disque tournant soumis à des sources de chaleur surfaciques discrètes. Comptes Rendus. Mécanique, Volume 337 (2009) no. 8, pp. 616-620. doi : 10.1016/j.crme.2009.06.031. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.06.031/

[1] H. Blok Les températures de surface dans des conditions de graissage sous extrême pression, Proc. Sd. World Petrol. Cong., Volume 3 (1937), pp. 471-486

[2] N. Laraqi An exact explicit analytical solution for steady-state temperature of a half space subjected to a circular moving heat source, ASME J. Tribol., Volume 125 (2003), pp. 859-862

[3] A. Baïri; J.M. Garcia-de-Maria; N. Laraqi Effect of thickness and thermal properties of film on the thermal behavior of moving rough interfaces, Eur. Phys. J. – Appl. Phys., Volume 26 (2004) no. 1, pp. 29-34

[4] N. Alilat; A. Baïri; N. Laraqi Three-dimensional calculation of temperature in a rotating disk subjected to an eccentric circular heat source and surface cooling, Numer. Heat Transfer, Volume 46 (2004) no. 2, pp. 167-180

[5] A. Baïri; N. Alilat; J.G. Bauzin; N. Laraqi Three-dimensional stationary thermal behavior of a bearing ball, Int. J. Thermal Sci., Volume 43 (2004), pp. 561-568

[6] D. Couëdel; P. Rogeon; P. Lemasson; M. Carin; J.C. Parpillon; R. Berthet 2D-heat transfer modelling within limited regions using moving sources: Application to electron beam welding, Int. J. Heat Mass Transfer, Volume 46 (2003) no. 23, pp. 4553-4559

[7] N. Laraqi; A. Baïri; L. Segui Temperature and thermal resistance in frictional devices, Appl. Therm. Eng., Volume 24 (2004) no. 17, pp. 2567-2581

[8] A. Baïri; N. Laraqi Diagrams for fast transient conduction in sphere and long cylinder subject to sudden and violent thermal effects on its surface, Appl. Therm. Eng., Volume 23 (2003), pp. 1373-1390

[9] A. Baïri; N. Laraqi; N. Alilat; Z. Zouaoui Fast transient conduction in infinite plate subject to violent thermal effects, Appl. Therm. Eng., Volume 24 (2004) no. 1, pp. 1-15

[10] F.F. Ling; T.E. Simkins Measurement of pointwise juncture condition of temperature at the interface of two bodies in sliding contact, ASME J. Basic Eng., Volume 85 (1963), pp. 481-486

[11] J.G. Bauzin; N. Laraqi Simultaneous estimation of frictional heat flux and two thermal contact parameters for sliding solids, Numer. Heat Transfer, Volume 45 (2004) no. 4, pp. 313-328

[12] B. Bourouga; J.M. Briot; J.P. Bardon Influence de la vitesse et de la charge sur la conductance thermique de transport entre les bagues d'un roulement à rouleaux, Int. J. Thermal Sci., Volume 40 (2001) no. 7, pp. 622-637

[13] B. Salti; N. Laraqi 3-D numerical modeling of heat transfer between two sliding bodies. Temperature and thermal contact resistance, Int. J. Heat Mass Transfer, Volume 42 (1999) no. 13, pp. 2363-2374

[14] J.P. Bardon Bases physiques des conditions de contact thermique imparfait entre milieux en glissement relatif, Rev. Gén. Therm. Fr., Volume 386 (1994), pp. 86-91

[15] N. Laraqi; N. Alilat; J.M. Garcia-de-Maria; A. Baïri Temperature and division of heat in a pin-on-disc frictional device – Exact analytical solution, Wear, Volume 266 (2009) no. 7–8, pp. 765-770

[16] M. Amara; V. Timchenko; M. El Ganaoui; E. Leonardi; G. de Vahl Davis A 3D computational model of heat transfer coupled to phase change in multilayer materials with random thermal contact resistance, Int. J. Thermal Sci., Volume 48 (2009), pp. 421-427

[17] N. Laraqi; A. Baïri Theory of thermal resistance between solids with randomly sized and located contacts, Int. J. Heat Mass Transfer, Volume 45 (2002) no. 20, pp. 4175-4180

[18] M. Abramowitz; I.A. Stegun Handbook of Mathematical Functions, Dover Publication, Inc., New York, 1972

  • Jean-Gabriel Bauzin; Nicolas Keruzore; Najib Laraqi; Arnaud Gapin Experimental Identification of the Thermal Parameters of an Aircraft Braking System During the Braking Phase, Advances in Thermal Science and Energy (2024), p. 83 | DOI:10.1007/978-3-031-43934-6_9
  • Mehdi-Belkacem Cherikh; Jean-Gabriel Bauzin; Ali Hocine; Zsolt Andrei Peter; Najib Laraqi Detection of surface moving heat source using experimental temperature measurements on the opposite surface and inverse techniques, International Journal of Heat and Mass Transfer, Volume 219 (2024), p. 124840 | DOI:10.1016/j.ijheatmasstransfer.2023.124840
  • Minh-Nhat Nguyen; Najib Laraqi; Jean-Gabriel Bauzin; Mehdi-Belkacem Cherikh; Ali Hocine; Zsolt-Andrei Peter Thermal Behavior of Solid Heated by Gaussian Moving Heat Source, Journal of Thermophysics and Heat Transfer, Volume 38 (2024) no. 4, p. 586 | DOI:10.2514/1.t6953
  • Fabien Formosa Analytical model of the steady state temperature distribution in a single and multi-layer brake disc, Progress in Engineering Science, Volume 1 (2024) no. 2-3, p. 100010 | DOI:10.1016/j.pes.2024.100010
  • Youcef Mouadji; Rassim Younes; Salim Khima; Mohand Amokrane Bradai; Ali Bouchoucha; Haitham Hadidi Numerical Thermal Modeling and Analysis of Dry Sliding Contacts between Copper-Graphite and Bronze-Graphite, SAE International Journal of Materials and Manufacturing, Volume 18 (2024) no. 2 | DOI:10.4271/05-18-02-0013
  • Jean-Gabriel Bauzin; Najib Laraqi; Arnaud Gapin, Proceeding of International Heat Transfer Conference 17 (2023), p. 10 | DOI:10.1615/ihtc17.230-10
  • Cédric Meunier; Jean-Gabriel Bauzin; Najib Laraqi; Arnaud Gapin; Jean-Frédéric Diebold Thermal characterization of the braking and cooling stages of an aircraft brake using identification techniques and a life-size experimental test bench, International Journal of Heat and Mass Transfer, Volume 196 (2022), p. 123277 | DOI:10.1016/j.ijheatmasstransfer.2022.123277
  • Mehdi-Belkacem Cherikh; Jean-Gabriel Bauzin; Najib Laraqi Experimental estimation of transient evolution of three thermal parameters characterizing a dry friction interface, International Journal of Heat and Mass Transfer, Volume 169 (2021), p. 120986 | DOI:10.1016/j.ijheatmasstransfer.2021.120986
  • Jean-Gabriel Bauzin; Mehdi-Belkacem Cherikh; Najib Laraqi Identification of thermal boundary conditions and the thermal expansion coefficient of a solid from deformation measurements, International Journal of Thermal Sciences, Volume 164 (2021), p. 106868 | DOI:10.1016/j.ijthermalsci.2021.106868
  • Jean-Gabriel Bauzin; Najib Laraqi Three-dimensional analytical calculation of the temperature in a brake disc of a high-speed train, Applied Thermal Engineering, Volume 154 (2019), p. 668 | DOI:10.1016/j.applthermaleng.2019.03.112
  • Jean-Gabriel Bauzin; Minh-Nhat Nguyen; Najib Laraqi; Mehdi-Belkacem Cherikh Thermal characterization of frictional interfaces using experiments and inverse heat conduction methods, International Journal of Thermal Sciences, Volume 137 (2019), p. 431 | DOI:10.1016/j.ijthermalsci.2018.12.004
  • Najib Laraqi; Harini Ramassamy; Orlane Rajaoarisoa; Tiffany Wauthier; Jean-Gabriel Bauzin New exact analytical solutions for the transient surface temperature of solids subjected to a non-uniform axisymmetric circular heat source, International Journal of Thermal Sciences, Volume 145 (2019), p. 106034 | DOI:10.1016/j.ijthermalsci.2019.106034
  • Jean-Gabriel Bauzin; Nicolas Keruzore; Najib Laraqi; Arnaud Gapin; Jean-Frédéric Diebold Identification of the heat flux generated by friction in an aircraft braking system, International Journal of Thermal Sciences, Volume 130 (2018), p. 449 | DOI:10.1016/j.ijthermalsci.2018.05.008
  • H. Boffy; M.C. Baietto; P. Sainsot; A.A. Lubrecht Detailed modelling of a moving heat source using multigrid methods, Tribology International, Volume 46 (2012) no. 1, p. 279 | DOI:10.1016/j.triboint.2011.06.011
  • J.M. García de María; N. Laraqi Steady state temperature of a two-layer body subjected to a moving heat source and convective cooling, International Journal of Thermal Sciences, Volume 49 (2010) no. 5, p. 756 | DOI:10.1016/j.ijthermalsci.2009.10.009

Cité par 15 documents. Sources : Crossref

Commentaires - Politique