LAUSR

Abstract This work is devoted to one dimensional theoretical study of the Rabinowitsch fluid flow with viscosity variation incorporated in a porous medium in the existence of surface roughness on circular stepped plates with application of squeeze film mechanism. By using Rabinowitsch fluid model and viscosity-film thickness relationship along with the of Christensen stochastic theory, the modified average nonlinear Reynolds type equation is developed. In addition, small perturbation technique and Gauss quadrature method is used to carried out come and the results include load-capacity and squeeze response time via graphs and tables. The findings of present investigation reveal that the porous and surface roughness decreases (increases) the load-capacity and response time for radial (azimuthal) roughness patterns, while the viscosity variation of Rabinowitsch fluid increases the load-capacity and decreases the response time as compared with non-porous, smooth surfaces and isoviscous case.