Based on the velocity boundary conditions of the continuous model

the first order slip model and the new WU slip model

the slip modified Reynolds equation considering the rarefied effect was established. Combined with the Newtons method and the finite difference method to solve the modified Reynolds equation

the pressure distribution and bearing capacity of each pad of the tilting pad gas bearing considering the rarefaction effect were calculated. The results showed that the greater the eccentricity

the greater the rotation speed

the greater the compression coefficient and the greater the bearing capacity of the tilting pad gas bearing. After considering the rarefied effect

the calculated bearing capacity of the tilting pad dynamic pressure gas bearing significantly decreased

and as the Knudsen number increased

the bearing capacity calculated by the new WU slip model was significantly lower than the first-order slip model.