We make an effort to analyze the behavior of squeeze film characteristics of different finite plates with couple stress fluid in the presence of a transverse magnetic field. On the basis of the Stokes couple stress fluid model and hydromagnetic flow model, a modified Reynold's equation is derived, which is solved by using appropriate boundary conditions to obtain squeeze film pressure, load-carrying capacity, and squeeze film time. The graphical representation of the results suggests that the different bearing systems register an enhanced performance with couple stresses compared to that of a bearing system working with a conventional lubricant in the presence of a transverse magnetic field. It is observed that the effect of applied magnetic field on the squeeze film lubrication between different finite plates with conducting couple stress fluids is to increase the load-carrying capacity significantly and to delay the time of approach compared to the corresponding nonconducting Newtonian case. It is seen that for all of the finite plates of different shapes, the circular shape gives the maximum load and time.

The theoretical analysis of the effect of transverse magnetic field on the couplestress squeeze film lubrication between circular stepped plates is presented. The modified Reynolds equation is derived. The closed-form expressions are obtained for the squeeze film pressure, load-carrying capacity, and squeeze film time. The squeeze film characteristics are presented for different operating parameters. It is observed that the effect of applied magnetic field on the squeeze film lubrication between circular stepped plates with couplestress fluids is to increase the load-carrying capacity significantly and to delay the time of approach considerably as compared to the corresponding non-magnetic case.

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This paper reports the couple stresses squeeze film lubrication of circular stepped plates with pressure-dependent viscosity (PDV). The modified Reynolds equation accounting for the viscosity variation of couplestress fluid is mathematically derived. From the results, it has been found that the non-dimensional pressure, non-dimensional load-carrying capacity, and the non-dimensional squeeze film time increases as compared with iso-viscous lubricant case. Further, the present results are in good agreement with the earlier works in the limiting conditions of iso-viscous lubricant case.

In this paper, the effect of surface roughness and pressure-dependent viscosity over couple-stresses squeeze film lubrication between circular stepped plates is studied. The modified average Reynolds equation is derived for the one-dimensional roughness structures, namely the radial roughness pattern and azimuthal roughness pattern. Modified equations for the nondimensional pressure, load-carrying capacity, and nondimensional squeeze film time are obtained. Also, the obtained results of our study for some special cases are compared with the previously published smooth surface case, and the results are found to be in very good agreement. It is observed that, one-dimensional azimuthal (radial) roughness pattern on the rough circular stepped plate increases (decreases) the load-carrying capacity and the squeeze film time as compared to the smooth case.