TY - JOUR
TI - Analytical modeling of the thermal behavior of a thin lubricant film under nonlinear conditions
AU - Laraqi Najib
AU - Lamriben Cyril
AU - Hocine Ali
AU - Peter Zsolt Andrei
AU - Hamouda Abderezak
JN - Thermal Science
PY - 2017
VL - 21
IS - 1
SP - 117
EP - 124
PT - Article
AB - 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.