THERMAL SCIENCE

International Scientific Journal

Najib Laraqi

,

Cyril Lamriben

,

Ali Hocine

,

Zsolt Andrei Peter

,

Abderezak Hamouda

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
Nonlinear lubrication, heat transfer in a thin lubricant film, Analytical modeling
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 Issue 1, PAGES [117 - 124]
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Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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