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A theoretical investigation of magnetohydrodynamics, couple stress and viscosity variation on squeeze film lubrication between a cylinder and rough porous flat surface

Year: 2025
Type: article
Abstract: Squeeze film lubrication involving couple stress fluids, viscosity variation and magnetohydrodynamics is critically important for high-performance applications in automotive systems, aerospace mechanisms and biomedical devices. This study aims to examine the combined influence of these effects on lubrication performance between a cylinder and a rough porous flat surface. To achieve this, we developed a generalised modified Reynolds equation by integrating Christensen’s stochastic model for surface roughness, Darcy’s law for porous media flow, and Stokes flow theory. This equation was solved with appropriate boundary conditions to derive analytical expressions for pressure, enabling the calculation of load-carrying capacity and squeeze film time for both longitudinal and transverse roughness patterns. Key findings demonstrate that couple stress, magnetohydrodynamics effects, and viscosity variation significantly enhance pressure distribution, increasing load-carrying capacity by up to 85.29% and squeeze film time by up to 85.34% under optimal conditions. Notably, longitudinal roughness pattern degrades tribological performance, whereas transverse roughness pattern enhances it. Furthermore, three-dimensional analysis demonstrates that optimal tuning of roughness and porosity parameters maximises the system performance. These findings, validated against established results like Lin et al. [31], provide valuable design guidelines for optimising tribological systems in fields requiring precise and durable lubrication, particularly in precision manufacturing and microelectromechanical systems.
Language: Polish
Open Access status: diamond
OpenAlex ID: W7126080359
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