Modelling and analysis of stepped bearings under stochastic conditions with Rabinowitsch fluids

This study examines the hydrodynamic behaviour of circular stepped plates lubricated with Rabinowitsch fluids, focusing on the interaction between surface roughness (SR), viscosity variation (V-V) and squeeze film dynamics. A stochastic approach, that combines Christensen’s roughness theory with a viscosity-film thickness correlation, is employed to evaluate the load-carrying capacity (LCC) and squeeze response time (SRT) under different operating conditions. The findings demonstrate that radial roughness patterns paired with dilatant lubricants significantly enhance LCC and film pressure compared to azimuthal roughness and pseudoplastic fluids. Furthermore, the stepped plate design significantly intensifies the effects of viscosity variation, demonstrating its effectiveness in improving lubrication in challenging applications. These results highlight the potential for optimising lubrication strategies to achieve greater reliability and operational efficiency. The insights gained are particularly relevant for designing high-precision bearing systems in industrial and biomedical applications, where adaptability and performance are essential. This research advances the understanding of non-Newtonian fluid behaviour in complex systems and suggests innovative pathways for improved lubrication solutions.