A theoretical investigation into the effects of slip velocity and piezo viscous behaviour on couple stress fluids along circular plates

This research examines the effect of piezo viscous dependency on the slip velocity between circular plates and the lubrication behaviour of couple stress squeeze films. The revised Reynolds equation is developed while maintaining the foundation of Christensen's stochastic theory. We derive the non-dimensional pressure distribution, load carrying capacity, and squeeze film time by solving the Reynolds equation. Using Origin Software and the Mathematica tool to demonstrate numerical analysis using the Simpsons 1/3rd rule. how the Harmann number, coupling stress parameter, slip velocity, permeability parameter, and squeeze film duration affect the pressure profile, load carrying capacity, and squeeze film time. The conventional perturbation technique is used to answer the problems of pressure within the fluid film, the duration of the squeeze film, and the capacity for load support. As the variation of viscosity increases in circular plates, the load gradually increases over time. Additionally, as time progresses, the slip velocity and its variation also increase. This trend can be observed in Table 1, The findings, which are shown graphically for a few chosen physical characteristics, show that a bearing's squeeze action is diminished, while the pressure, ability to carry loads, and duration of approach are all negatively impacted by increased permeability.