A comprehensive investigation of squeeze film lubrication in porous elliptical plates: Analyzin the influences of magneto-hydrodynamics, couple stress and slip velocity

This comprehensive study investigates the combined effects of the interplay between an externally applied transverse magnetic field and the coupled flows in the squeeze film between porous elliptical plates, including the influence of slip velocity. The model employs the Stokes couple stress fluid theory to represent the effects of lubricant additives, and applies Cowling's theory to the electrically conductive fluid in the presence of a transverse magnetic field. Darcy's law is employed to model the flow through the porous media. The modified Reynolds equations incorporate these key effects, and detailed expressions for various squeeze film characteristics are derived. The novelty of the present work lies in the simultaneous inclusion of magneto-hydrodynamic, couple stress, and slip velocity effects in a porous elliptical geometry, an integration rarely addressed in previous studies. The results indicate that non-porous plates exhibit higher pressure generation compared to porous ones, and the squeeze film performance declines with increasing porosity. The results indicate that non-porous plates exhibit higher pressure generation compared to porous ones, and the squeeze film performance declines with increasing porosity. Conversely, the Lorentz force and couple stress, are found to enhance the lubrication performance compared to classical cases without these factors. These effects are more marked for smaller values of permeability ψ and slip velocity s . These valuable insights offer important guidance for the design of squeeze film lubrication systems utilizing porous elliptical plates subjected to transverse magnetic fields.