With the addition of additives, lubricating fluid begins to behave non-linearly. Besides that, the emergence of ultra-highspeed machines with highly polished surfaces causes slip between the sliding surfaces, violating the no-slip boundary condition. The current novel research work looks at the performance of the bearing while considering the combined effect of the non-Newtonian and wall-slip impact of the lubricant. Furthermore, the model developed can account for the influences of slip-lengths acting in orthogonal directions at the solid-fluid interface of both sliding surfaces. This innovative model produces more realistic steady-state and dynamic performance results than the classic Reynolds hypothesis. The finite difference method is employed to determine the pressure developed using the successive over-relaxation approach. The findings divulge that the occurrence of wall-slip on the journal surface significantly impacts bearing performance. The journal center trajectories that determine the system's stability are estimated using non-linear transient analysis. The findings reveal that, at a power-law index of 0.75 and slip-length of 0.2, dimensionless pressure increases by 10%, resulting in higher loadcarrying capacity. The flow rate is increased by 6.5%, and above all, the stability region has grown by about 19.45%.

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