MODELLING OF THE NONISOTHERMAL CURRENT OF VISCOUS LIQUID IN KONFUZORNY CHANNELS IN THE CONDITIONS OF MULTIZONAL GIVING LUBRICANT

One of the essential conditions for creating the bearing capacity of the lubricating layer in thin channels with moving relative to each other forming surfaces is the presence of a geometric or viscous wedge. In this paper, the authors propose a method of creating additional bearing capacity due to the so-called artificial temperature wedge. The paper presents a mathematical model of non-isothermal flow of a viscous fluid in the confuser channel formed by two non-axial cylinders, taking into account the multi-zone method of supplying a lubricant of non-uniform temperature. The developed mathematical model is based on the generalized Reynolds equation and the equation of convective heat conduction written in bicilindrical coordinates, which greatly simplifies the definition of boundary conditions. The validity of using the Reynolds equation is confirmed by an analysis of the terms of the Navier-Stokes equation in the considered range of values of geometric, kinematic and static factors. The mathematical model is numerically implemented using the finite-difference method, and the developed calculation program is a kind of practical tool for calculating the distributed and integral characteristics of the objects in question as applied to fluid-friction bearings and hydrodynamic gap seals. In particular, this paper shows the effectiveness of creating an artificial temperature wedge due to a multi-zone supply of a non-uniform temperature lubricant. Based on the computational experiment, the temperature conditions for the lubricant supply are determined, which allow to increase the bearing capacity by an average of 20%, while the friction coefficient decreases by 16% for the object in question as applied to the bearings of the friction of the laboratory rotor-support unit.

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