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The paper presents a method for the formation of an exact self-similar solution of the hydrodynamic calculation of a wedge-shaped support (slider, guide) operating on viscoelastic liquid lubricant caused by the melt of the guide, taking into account the dependence of viscosity and shear modulus on temperature. The solution of the problem has been found on the basis of a system of equations describing the motion of an incompressible liquid viscoelastic lubricant for the case of a "thin layer", taking into account the dependence of the viscosity of the liquid lubricant and the shear modulus on temperature, the continuity equation and the expression for the dissipation rate of mechanical energy for determining the function due to the melt of the guide surface coated with a melt of a low-melting coating. Asymptotic solution of a system of differential equations with allowance for the boundary conditions on the surface of the guide, slider and contour is found in the form of series in powers of the small parameter K, caused by the melt and the rate of dissipation of mechanical energy. In order to determine the velocity and pressure fields in the lubricating and molten layer, there is an exact self-similar solution for the zero and first approximations. As a result of finding the exact self-similar solution, the value of the function, caused by the melt of the guide (parameter M, characterizing the thickness of the molten film) has been found. The influence of the parameter caused by the melt of the surface of the low-melting coating of the bearing bush on the bearing capacity and the friction force has been evaluated.

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The solution of the problem has been found on the basis of a system of equations describing the motion of an incompressible liquid electrically conductive lubricant for the case of a "thin layer", the continuity equation and the expression for the dissipation rate of mechanical energies to determine the function caused by the melt of the guide surface coated with a melt of a fusible coating. Asymptotic solution of a system of differential equations taking into account the boundary conditions on the surface of the guide, slider and contour are found in the form of series in powers of the small parameter K, caused by the melt and the rate of dissipation of mechanical energy. To determine the velocity and pressure fields in the lubricating and molten layer, a precise self-similar solution for the zero and first approximations is found. As a result of finding the exact self-similar solution, the value of the function, caused by the melt of the guide is found. The influence of the following parameters has been estimated: caused by the presence of an electric field, Hartmann number, caused by the melt and the rate of dissipation of mechanical energy on the main operating characteristics of the thrust sliding bearing (bearing capacity and frictional force).Difference from the existing design models of sliding supports operating on the melt of a low-melting coating is the consideration of a whole range of variable factors allowing increasing the accuracy of models approximating to the real needs of practice.The results of numerical analysis show that the design models of thrust sliding bearings have been significantly refined as a result of additional simultaneous consideration in their development of the dependence on the hydrodynamic pressure and temperature of such important factors as electrical conductivity, as well as the effects of magnetic induction and electric field strength.