Abstract

The paper proposes a method for finding an accurate self-similar solution to the problem of hydrodynamic calculation of a wedge-shaped support (slider, guide) operating on a lubricant and a melt with a porous coating on the guide surface and the slider coated with a low-melting metal alloy. Based on an equation describing the motion of a viscous incompressible fluid for the case of a “thin layer,” the continuity equation, the Darcy equation, and the equation for the mechanical energy dissipation rate, an asymptotic solution to a system of differential equations has been found in the form of power series of the parameter conditioned by the melt and the mechanical energy dissipation rate. An analytical dependence has been obtained for the molten slider surface profile. In addition, the basic performance characteristics of the friction pair under consideration have been determined. The effect of the parameter conditioned by the melt and the parameter characterizing the presence of a porous guide surface coating on the bearing capacity and friction force has been estimated.

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