Numerical simulations of combined effect of viscosity variation and magnetohydrodynamic (MHD) characteristics for wide porous slider bearings with exponential film profile

The theory of magneto hydrodynamic (MHD) thin film lubrication is applied to numerically analyze the MHD properties (including steady film pressure, non-dimensional load capacity, non-dimensional stiffness coefficient, and non-dimensional damping coefficient) of wide-exponential shaped porous slider bearings containing an electrically conducting fluid under the influence of a transverse magnetic field. The MHD dynamic Reynolds-type equation, which incorporates transient squeezing motion, is produced by merging the continuity equation with the MHD motion equations. A closed-form solution is utilized to determine the static film pressure. Moreover, MATLAB (r2018b) numerical simulations are performed to see the effects of distinct parameters on velocity and pressure distributions. The findings suggest that the presence of externally applied magnetic fields indicates an increase in film pressure. The influence of an applied magnetic field on the lubricant flow is analyzed, considering viscosity variations due to temperature and pressure changes. The governing equations are formulated and solved to determine the pressure distribution, load-carrying capacity, and frictional characteristics. The results reveal that the MHD effect enhances the bearing's load capacity, while viscosity variation significantly influences lubricant behavior, leading to optimized performance. The findings provide insights into improving bearing efficiency in high-temperature, electrically conductive fluid applications, thermal engineering, mining industry, and energy sector. The influence of the applied magnetic field, as shown by the Hartmann number, greatly enhances the load-bearing capacity when contrasted with the non-conducting lubricant (NCL) scenario values. Moreover, with increasing Hartmann number, these improvements in bearing MHD characteristics become increasingly obvious and decreasing minimum film thickness.