The simultaneous solution of the generalized Reynolds equation

three-dimensional energy equation

three-dimensional heat transfer equation and force equilibrium equation were presented and the changes of the lubricant viscosity and density with the temperature and pressure were taken into account.Consequently

the three-dimensional temperature field was obtained with the heat flux continuity condition imposed at the interface between the oil film and the bush.The result show that the maximum temperature did not appear at the interface between the film and bush and the point of the maximum temperature was different along the film thickness direction at different circumferential locations.The differences of the bearing performances were validated between the three-dimensional temperature model and the two-dimensional temperature model.A Newton-Raphson approach was used in solving the generalized Reynolds equation and the force balance equations

simultaneously.For the energy equation and the heat transfer equation

the finite difference method was carried out with the help of a sweeping scheme.The approaches we used were found to be fast converged and saved computing time greatly.