The thermohydrodynamic behavior of the lubricant flow in a Rayleigh step is described by a mathematical model that uses the bidimensional Navier-Stokes and energy equations written in terms of the primary variables u, v, p and T. The non-Newtonian behavior of the lubricant is described by a power law model. The lubricant is assumed to be incompressible and the process is steady-state and laminar. The equations are solved simultaneously using the incremental load method associated with the Newton-Raphson method and the finite element formulation. The effects of a Rayleigh step aspect ratio on the velocities, pressure and temperature patterns for different power law index are investigated.
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A finite element model is developed for parametric investigation of the influence of the rheological properties of the lubricant on the thermohydrodynamic film conditions which occur in a Rayleigh step bearing. The model is used to predict the thermohydrodynamic field in lubricating film with fixed geometry between the stationary and moving surfaces using power law fluids.
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