The Non-Unicity of the Film Thickness in the Hydrodynamic Lubrication: Novel Approach Generating Equivalent Micro-Grooves and Roughness

Abstract Since the 1960s, all studies have assumed that a film thickness “ h ” provides unique pressure field p by resolving Reynolds equation. However, it is relevant to investigate unicity under given hydrodynamic within inverse theory. This paper presents new approach deduce from an initial widespread number of thicknesses providing same specific condition gradient pressure. For this purpose, three steps were presented: 1) computing equation with Gümbel’s cavitation model, 2) using algorithm generate second thickness, 3) comparing and validating produced both modified Throughout surface finishes: macro-shaped, micro-textured, rough surfaces, has been demonstrated gradient, several could slight difference considering cavitation. Besides, confirms also different ratios averaged root mean square (RMS) similar be generated, thereby deficiency ratio define lubrication regime as commonly known Patir Cheng