An explicit analytical solution of a slider bearing with a third grade non-newtonian fluid as lubricant

This paper presents an analytical solution of an inclined slider bearing consisting of connected surfaces lubricated with a third grade (non-Newtonian) fluid. Dimension analysis and by order of magnitude comparison with the full Navier-Stokes equations give rise to a nonlinear lubrication equation in the film region. The homotopy analysis method (HAM) for strongly nonlinear problems is used to give explicit analytic solution of the problem. Both the velocity profile and pressure distribution are calculated approximately using this method and plotted graphically using different parameter values. The load carrying capacity of the bearing is discussed for a range of bearing parameters. The boundary layer effect developed near the lower wall is also presented.