This study investigated the influence of ferrofluids on the lubrication performance of long journal bearings under the combined effects of stochastic surface roughness and a magnetic field generated by an infinitely long wire. According to our results, placing an infinitely long wire magnetic field at an appropriate distance from the center of the bearing can suppress side leakage in long journal bearings, thereby extending the life of the bearings. Under a higher power-law index and induced magnetic force, the introduction of transverse roughness can enhance film pressure and load capacity, while reducing the attitude angle and modified friction coefficient. The introduction of longitudinal roughness has the opposite effect. We believe that these findings provide a valuable reference for the design of bearings in the future.

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