A new more consistent Reynolds model for piezoviscous hydrodynamic lubrication problem in line contact devices

International audienceHydrodynamic lubrication problems in piezoviscous regime are usually modeled by the classical Reynolds equation combined with a suitable law for the pressure dependence of viscosity. By taking into account the pressure-viscosity depen- dence in the Stokes equation and to derive the Reynolds equation in the thin film limit, a new model has been proposed by Rajagopal & Szeri. However, these authors consider some additional simplifications. In the present work, avoiding these simplifications and starting from a Stokes equation with pres- sure dependence of viscosity through Barus law, a new Reynolds model for line contact lubrication problems is deduced, in which the cavitation phenomenon is also taken into account. Thus, the new complete model consists of a nonlinear free boundary problem associated to the proposed new Reynolds equation

A new more consistent model for piezoviscous hydrodynamic lubrication

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