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Analytical modelling of the three-dimensional steady-statetemperature in a bearing ring

Published online by Cambridge University Press:  16 March 2011

Mohamed Hamraoui ,
Talaat Osman ,
Abderrahmane Boucheffa  and
Mohammad Mehdi Rashidi
Mohamed Hamraoui*
Affiliation:
UniversitéHassan II Aïn chock, École Supérieure de Technologie de Casablanca, Laboratoire RITM, Km 7, Route El Jadida, BP 8012 Oasis, Casablanca, Morocco
Talaat Osman
Affiliation:
Université Paris Sud, IUT d’Orsay, Département MP, Plateau du Moulon, 91400 Orsay, France
Abderrahmane Boucheffa
Affiliation:
Université Paris Sud, IUT d’Orsay, Département MP, Plateau du Moulon, 91400 Orsay, France
Mohammad Mehdi Rashidi
Affiliation:
Mechanical Engineering Department, Engineering Faculty of Bu-Ali Sina University, Hamedan, Iran
*
aCorresponding author: [email protected]
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Abstract

An analytical solution to compute the 3D steady state temperature distribution in abearing ring is presented in this paper. The ring is formed by a hollow cylinder of finitelength. Its radial external surface is subjected to localized, identical heat sources,equally spaced in the azimuth direction. This surface is also subjected to convectivecooling while as the internal surface is maintained at a uniform temperature. Thedeveloped solution is explicit and does not impose any restriction on the geometrical orphysical parameters.

Keywords

Heat conductionanalytical solutionbearingtribologyinterfacesmoving heat sources
Type
Research Article
Information
Mechanics & Industry , Volume 12 , Issue 1 , 2011 , pp. 1 - 4
Copyright
© AFM, EDP Sciences 2011

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References

Osman, T., Boucheffa, A., Analytical solution for the 3D steady state conduction in a solid subjected to a moving rectangular heat source and surface cooling, C. R. Mécanique 337 (2009) 107–111 CrossRefGoogle Scholar
Laraqi, N., Thermal constriction phenomenon in sliding contacts, Int. J. Heat Mass Trans. 39 (1996) 3717–3724 CrossRefGoogle Scholar
N.R. DesRuisseaux, R.D. Zerkle, Temperature in semi-infinite and cylindrical bodies subject to moving heat sources and surface cooling, ASME J. Heat Transf. (1970) 456–464
Hamraoui, M., Zouaoui, Z., Modelling of heat transfer between two rollers in dry friction, Int. J. Therm. Sci. 48 (2009) 1243–1246 CrossRefGoogle Scholar
Jaeger, J.C., Moving sources of heat and the temperature at sliding contacts, Proc. Royal Soc. NSW 76 (1942) 203–224 Google Scholar
Baïri, A., Garcia-de-Maria, J.M., Laraqi, N., Effect of thickness and thermal properties of film on the thermal behavior of moving rough interfaces, EpJ AP 26 (2004) 29–34 CrossRefGoogle Scholar
Hamraoui, M., Thermal behaviour of rollers during the rolling process, Appl. Therm. Eng. 29 (2009) 2386–2390 CrossRefGoogle Scholar
Laraqi, N., Alilat, N., Garcia-de-Maria, J.M., Baïri, A., Temperature and division of heat in a pin-on-disc frictional device – Exact analytical solution, Wear 266 (2009) 765–770 CrossRefGoogle Scholar
Gecim, B., Winer, W.O., Steady temperature in a rotating cylinder subject to surface heating and convective cooling, ASME J. Trib. 106 (1984) 120–127 CrossRefGoogle Scholar
Baïri, A., Alilat, N., Bauzin, J.G., Laraqi, N., Three-dimensional stationary thermal behavior of a bearing ball, Int. J. Therm. Sci. 43 (2004) 561–568 CrossRefGoogle Scholar
Ling, F.F. and Simkins, T.E., Measurement of point-wise juncture condition of temperature at the interface of two bodies in sliding contact, ASME J. Basic Eng. 85 (1963) 481–486 CrossRefGoogle Scholar
Laraqi, N., An exact explicit analytical solution of the steady-state temperature in a half space subjected to a moving circular heat source, J. Tribol. 125 (2003) 859–862 CrossRefGoogle Scholar
Bardon, J.P., Bases physiques des conditions de contact thermique imparfait entre milieux en glissement relatif, Revue Générale de Thermique Fr. 386 (1994) 86–91 Google Scholar
Laraqi, N., Thermal impedance and transient temperature due to a spot of heat on a half-space, Int. J. Therm. Sci. 49 (2010) 529–533 CrossRefGoogle Scholar
Amara, M., Timchenko, V., El Ganaoui, M., Leonardi, E., de Vahl Davis, G., A 3D computational model of heat transfer coupled to phase change in multilayer materials with random thermal contact resistance, Int. J. Therm. Sci. 48 (2009) 421–427 CrossRefGoogle Scholar
Baïri, A., Laraqi, N., Garcia de Maria, J.M., Numerical and experimental study of natural convection in tilted parallelepipedic cavities for large Rayleigh numbers, Exp. Therm. Fluid Sci. 31 (2007) 309–324 CrossRefGoogle Scholar