Mathematical Model of the Radial Bearing with a Fusible Metal Porous Coating

Abstract

The article is devoted to the development of a refined design of a mathematical model and method of solution of the problem of the classical hydrodynamics using liquid lubricating material and melt fusible metal coating surface of the shaft with a laminar flow regime truly viscous rheological properties, as well as in the flow of lubricant in the porous body surface finish of the bearing sleeve and axial force feed lubricating material that provides hydrodynamic regime of lubrication in bearing of finite length. On the basis of the equation of the true flow of a viscous incompressible fluid for a “thin layer” of the continuity equation, the equation for the lubricant in the body of the porous coatings, as well as the equation describing the radius of the molten surface of the shaft in a cylindrical coordinate system with the relevant boundary conditions, given standard assumptions exact self-similar solution. The result for the velocity field and pressure, the formulas for calculating zero (without melting) and a first approximation (including melt), as well as the function that determines the radius of the molten contour of the shaft in lube and porous layers, allowing to determine the bearing capacity and the friction force. Numerical analysis shows a significant influence of the parameters that characterize: the melt, the damping properties of the porous coating, the thickness of the porous coating and the supply of lubricant in the axial direction.