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Abstract

This investigation thoroughly studies the Elastohydrodynamic Lubrication (EHL) problem, focusing on the complex behavior of lubricants at high pressures and varying sliding velocities. The normalized Reynolds equation is solved using the finite difference method (FDM) in this study, which focuses on the impacts at higher beta values, specifically around beta = 2000, a novel regime where beta is a dimensionless parameter. Using a shifted sigmoid function to modulate sliding velocities and providing more detailed knowledge of the lubrication dynamics is a crucial component of this research.Furthermore, in order to properly model the deformation of lubricated surfaces under load, the research investigates the link between the Reynolds equation and the elastic deformation equation. The results of this study provide a significant understanding of the intricate relationship between fluid dynamics and elastic deformation in EHL, which is beneficial in optimizing lubrication performance in engineering applications. In addition to improving the theoretical foundation of EHL, this study has application in the design and maintenance of mechanical systems where effective lubrication is essential