Development of a new mathematical method for modeling the movement of a micropolar lubricant in the working gap of a modified bearing structure

The liquid lubricant moving in the gap inevitably contains atmospheric gases, which significantly affect such an operational property of the lubricant as compressibility. This study includes the development and analysis of a mathematical model of a micro-polar lubricant in a bearing with composite fluoroplastic coatings and a support profile adapted to specific friction conditions. Based on the equation of motion of the liquid lubricant under study, the continuity equation and the equation of state, new mathematical models are obtained that additionally take into account the compressibility of the lubricant. The possibilities of applying in practice the mathematical models of the modified radial bearing structure obtained by the authors have been significantly expanded, taking into account new factors that make it possible to evaluate the performance characteristics of radial bearings. The modified design of the radial sliding bearing made it possible to clarify, taking into account an additional factor – the compressibility of the lubricant, the bearing capacity by 8–10 %, and the coefficient of friction by 7–9 % in the range of the studied modes