Abstract: For the difference between the roller pairs temperature and the supplied oil temperature in the machinery and equipment under the changeable working environment and temperature, a method to solve a thermal elastohydrodynamic lubrication problem when the temperature of the roller pairs is not the same as that of the supplied oil is provided. The pressure is solved with the multi-grid method, the film thickness is calculated with a multilevel multi-integration method, and the temperature is solved with a sequential column sweeping technique. A full numerical solution for the thermal elastohydrodynamic lubrication in finite line contacts is obtained. Assumed that the roller pair’s temperature is or not the same as the temperature of the supplied lubricating oil, lubrication behavior in roller pairs is investigated. The effects of the roller pair’s temperature, the slide-roll ratio, and the velocity parameter on the lubrication performance of machine components such as gears and roll bearings are discussed. The results of the roller pairs temperature being higher or lower than the temperature of the supplied oil are compared with that of the conventional lubricating solution, where the temperature of the roller pairs and the supplied oil temperature are assumed to be the same. Results show that, the film thickness is determined by the roller pair’s temperature, rather than the supplied oil temperature. The slide-roll ratio has little influence on the pressure and film thickness, but plays a dominant role in the film temperature. Compared with the low velocity, if the entrainment velocity is high enough, the influence of the roller pair’s temperature on the central oil temperature is weak; however, the influence on the film thickness is strong.

Key words: Lubricating behavior, Roller pairs temperature, Supplied oil temperature, Interval model, Negative effective bulk modulus, Optimization, Sound intensity transmission coefficient, Acoustic metamaterial