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Estimating Temperature Fields and Pressure-Viscosity Index Using Inverse Approach in Thermal Elastohydrodynamic Lubrication of Point Contacts
Li-Ming Chu a, Chang-Jian, Cai-Wan b, Yuh-Ping Chang c and Ming-Jer Hsieh d
aProfessor, Department of Green Energy and Information Technology, National Taitung University, Taitung City 950309, Taiwan, ROC
bDepartment of Mechanical Engineering, National Chin-Yi University of technology, Taichung City 411030, Taiwan, R.O.C
cDepartment of Mechanical Engineering, Kun Shan University, Tainan City 710303, Taiwan, R.O.C.
dDepartment of Power Mechanical Engineering, National Taitung Junior College, Taitung City, 95092, Taiwan, R.O.C.
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Abstract:
This paper proposed a thermal elasto-hydrodynamic lubrication (TEHL) inverse approach to estimate the pressure distribution, the temperature distribution, and the pressure-viscosity index in an TEHL point contact. Once the film shape is measured, the least-squares criterion is used to obtain the smallest error between the measured and estimated film thickness. Furthermore, the pressure and estimated film thickness distributions can be calculated from force balance and elastic deformation theories. The Newton-Raphson method and the Gauss-Seidel iteration are employed to calculate the temperature distribution from energy, surface temperature, and rheology equations by using these smoothing pressure and estimated film thickness distributions. This inverse approach can effectively overcome pressure and temperature rise fluctuations due to oil film measurement error. This present inverse approach can obtain accurate results of pressure and temperature rise distribution from a small number of measured film thickness points, which also saves computing time. For the measurement error in the film thickness, this approach still gives a quite good solution for the pressure distribution, temperature distribution, and the pressure-viscosity index. This present inverse approach can tolerate larger the film thickness measurement error.
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Keywords: Inverse approach, TEHL, point contact, temperature, pressure-viscosity index
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©
2026
CSME , ISSN 0257-9731
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