Abstract: A numerical solution to the problem of elastohydrodynamic and partial elastohydrodynamic lubricated line contacts is presented in this paper with the use of analytical method. By solving the average Reynolds equation, the nominal film thickness equation, the viscosity and density equation of lubricant, the energy equation, etc. simultaneously, the effects of operating state parameters such as load, entrainment rolling speed, slide-roll ratio as well as inlet temperature of lubricant on the oil film thickness between contacting surfaces are analysed. The values of oil film thickness under different operating conditions are also obtained and a new film thickness formula is accordingly put forward. The new formula which takes account of thermal effect and surface roughness effect can be used in severe operating conditions such as elevated temperatures, high speeds and heavy loads. The calculating results of the new formula are more accordant with the experimental results than those of Dowson-Higginson's formula and therefore the new formula can be applied in the study and design of machine elements of line contacts instead of Dowson-Higginson's one.

Key words: elastohydrodynamic, lubrication, thermal effect, surface roughness