The Combined Effects of Couple Stresses and the Surfaces Roughness on the Bearing Characteristics of Infinitely Long Porous Rectangular Plates

The surface roughness effects on the hydrodynamic lubrication of squeeze film between infinitely long parallel plates are analyzed. The modified Reynolds equation which incorporates randomized roughness structure with Stoke’s couple stress fluid is solved with suitable boundary conditions to get the pressure distribution, which is then used to obtain the load carrying capacity.The results are presented graphically as well as in tabular form. It is observed that the effect of surface roughness on the bearing characteristics are more pronounced for couple stress fluids as compared to the Newtonian fluids. The observations show that the bearing system registers a slightly enhanced performance for higher values of couple stress parameter. Also the present study indicates that there is a negative influence in the bearing characteristic due to mean stochastic film thickness and standard deviation of film thickness.