Abstract
AbstractUsing the well-known equation for a “thin layer” of fluid flow with truly viscous rheological properties, the continuity equation, as well as the equation defining the profile of the molten profile of the pilot taking into account the expression for the mechanical energy dissipation rate, an asymptotic solution is proposed for the system of differential equations in the form of series for parameter powers characterizing the melt of the surface coating. An exact automodeling solution for zero and first approximations was applied allowing to determine the lubricating layer’s velocity field and pressure taking into account melting of the coating as well as the adapted profile of the pilot’s support surface. This allows determining the main properties of the tribo-node, i.e., load capacity and friction force leading to specific hydrodynamic flow conditions in a pre-emergency situation. New multiparametric expressions have been developed for the main performance characteristics of a wedge-shaped sliding support with incomplete filling of the working gap, as well as taking into account the melt of the guide surface coated with a low-melting metal alloy. The resulting refined calculation models allow, as a result of varying the low-melting coating on the surface of the guide, to adjust the ratio of its bearing capacity and the coefficient of friction.KeywordsWedge-shaped supportAdapted profileHydrodynamic modeLow-melting coatingIncomplete fillingSelf-similar solutionAsymptotic solutionZero approximationFirst approximation
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