Modeling of Textured Hydrostatic Thrust Bearings and Lubricating Films with Variable Thickness

In tribology, understanding the fluid flow characteristics of thin films is crucial. Although theoretical models often assume perfectly smooth surfaces, real-world scenarios involve surface irregularities and design features that affect film thickness. This study presents a systematic approach to accelerate modeling fluid flow in thin films within hydrostatic thrust bearings, for both the classical Reynolds equation and a comprehensive 3D methodology based on the Navier–Stokes equations. The classical model, nonlinear due to film thickness variation, is solved using the finite difference method, while the 3D approach is implemented in Ansys-CFX using the finite volume method. Comparative analysis of results from these models against the analytic solution for infinitely long geometries validates the modeling strategy. The 3D Navier–Stokes model is optimized by omitting parts of the geometry with unchanging pressure, replaced by a Python program to conserve mass flow rate, reducing mesh size to less than 0.5% of the original. This optimization significantly decreases computational resources, facilitating the study of various geometric configurations. The generated pressure field, bearing load, and equivalent stiffness were compared across models (Convergent, divergent and periodic). While the convergent configuration demonstrates the most a noteworthy enhancement, the periodic ones need deeper investigation. Future work will explore also the potential for dynamically modifiable bearings to enhance vibration control.