Homogenization of the Reynolds equation in the radial face seals case

Abstract

In this paper we obtain the Reynolds equation for the case of a Newtonian incompressible fluid with a stationary isothermal motion in a tribological system of radial face seals when one of the contact surfaces (the rotor) has an oscillatory motion around its equilibrium point. Moreover, it is supposed that this surface is rough. We also obtain the homogenized equation whose coefficients are given explicitly. Finally, we present numerical results for the homogenized equation.