THERMAL SCIENCE

International Scientific Journal

ANALYTICAL MODELING OF THE THERMAL BEHAVIOR OF A THIN LUBRICANT FILM UNDER NONLINEAR CONDITIONS

ABSTRACT
Lubrication is an important phenomenon in a wide field of industry such as automotive, aerospace, mechanical transmission systems and many others. The viscosity of fluid is a determining factor in the thermal behavior of lubricant and solid surfaces in friction. In practice the viscosity varies strongly as a function of local pressure and temperature. In this study we are interested in the effect of temperature on the viscosity and the thermal behavior of the lubricant. We solve the dynamic and energy equations under nonlinear conditions considering that the viscosity decreases following an exponential law of the temperature as it is known in the literature, μ = μ0 e-β (T-T0). The analytical solution is compared to a numerical modeling using a finite difference methods. The results show an excellent agreement. We analyse the effect of the viscosity coefficient, β, on the velocity and the temperature in the thin lubricant film.
KEYWORDS
PAPER SUBMITTED: 2016-04-15
PAPER REVISED: 2016-05-21
PAPER ACCEPTED: 2016-06-15
PUBLISHED ONLINE: 2016-10-01
DOI REFERENCE: https://doi.org/10.2298/TSCI160415242L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE 1, PAGES [117 - 124]
REFERENCES
  1. J. Bouyer and M. Fillon, Improvement of the THD Performance of a Misaligned Plain Journal Bearing, Journal of Tribology, 125 (2003), pp. 334-342.
  2. F. Sadeghi, T.A. Dow, Thermal effect in rooling/sliding contact: Part 2- Analysis of thermal effect in fluid film, Journal of Tribology, 109 (1987), pp. 512-518.
  3. L. Costa, A.S. Miranda, M. Fillon, J.C.P. Claro, An analysis of the influence of oil supply conditions on the thermohydrodynamic performance of a single-groove journal bearing, Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Engineering Tribology, 217 (2003), pp. 133-144.
  4. F. Sadeghi, T.A. Dow, R.R. Johnson,Thermal effect in rooling/sliding contact: Part 3- Approximate method for prediction of mid-film temperature and sliding traction, Journal of Tribology, 109 (1987), pp. 519-524.
  5. N. Laraqi, An exact explicit analytical solution for steady-state temperature of a half space subjected to a circularmoving heat source, ASME Journal of Tribology, 125 (2003) pp. 859-862.
  6. 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, Numerical heat transfer, Part A 46 (2004), 2, pp. 167-180.
  7. Jaeger JC. Moving sources of heat and the temperature at sliding contacts. R. Soc. N.S.W., 76 (1942), pp. 203-224.
  8. N. Laraqi, J.M. Garcia de Maria, A. Baïri, M.M. Rashidi, Analytical model for the thermo-hydrodynamic behaviour of a thin lubricant film, Tribology International, 44 (2011), 9, pp. 1083-1086.
  9. J. Hristov J., An Approximate Analytical (Integral-Balance) Solution to A Nonlinear Heat Diffusion Equation, Thermal Science, 19 (2015), 2, 723-733.
  10. M.M. Rashidi, S.A. Mohimanian Pour, N. Laraqi, A Semi-Analytical Solution of Micro Polar Flow in a Porous Channel with Mass Injection by using Differential Transform Method, Nonlinear Analysis: Modelling and Control, 15 (2010), 3, pp. 341-350.
  11. J. Hristov, Integral solutions to transient nonlinear heat (mass) diffusion with a power-law diffusivity: a semi-infinite medium with fixed boundary conditions, Heat Mass Transfer, 52 (2016), 3, pp. 635-655

© 2017 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence