Magnetohydrodynamic squeeze film characteristics of micropolar fluids with piezo-viscous dependency between wide parallel rectangular plates

Abstract The study introduces a novel approach to squeeze film behavior by combining Micropolar fluid, its piezo-viscous dependency, and MHD effects on wide parallel rectangular plates. The Reynolds equation is developed analyticaly by utilising the principles of hydromagnetic flow, Eringen’s microcontinuum theory, the micropolar fluid model and the influence of variable viscosity.The current study seeks to maximize the bearing performance by scrutinizing the pressure, load carrying capacity, and squeezing time. The influence of Hartmann number M , coupling number N , fluid gap interacting number L , and Piezo-Viscous Dependency parameter G are numerically calculated and depicted graphically. Notably, the pressure, the load carrying capability, and squeezing time are enhanced by the presence of the micropolar fluid and the magnetic field compared to their Newtonian and non-magnetic counterparts. Additionally, the piezo-viscous dependency, characterized by the viscosity variation factor, also increases the pressure, load and squeezing time. The study highlights the potential of utilizing couple stress fluid, viscosity variation, and MHD as a means to improve load carrying capability and extend the operational life of squeeze film bearings in various engineering applications. The Reynolds equation is derived by applying theory of hydromagnetic flow and Eringen’s micro continuum theory along with micro polar fluid model.