Thermohydrodynamic lubrication equation’s residual schemes and accuracy solution for Reyleigh step bearing.

Abstract

Khlopenko N.Y., Sorokina T.N. Thermohydrodynamic lubrication equation’s residual schemes and accuracy solution for Reyleigh step bearing. The system of the thermo hydrodynamic lubrication equations for the Reyleigh step bearing is consists of Rey-nolds equation for pressure in the layer and energy equation. The energy equation includes the specific oil consumption equa-tions. Turbulence factors were used in above mentioned equations to make use of Constantinescu method. The main aim of the article is to present and describe the thermo hydrodynamic lubrication equation’s residual schemes and estimate the approximation relative error for Reyleigh step bearing thermo hydrodynamic lubrication equations. The finite-difference approximation was carried out for the Reyleigh step bearing thermohydrodynamic lubrication equations using the second order of accuracy derivatives for five assembly mould cross form. The convection heat exchange for temperature areas determination on the basis of difference against steam scheme with a pressure gradient influence was taking into account. Consequently, the method of the over relaxation was applied to solve a problem. The finite-difference approximation description for Reyleigh step bearing thermo hydrodynamic lubrication equa-tions gives a possibility to carrying out the calculations of the thrust bearing static characteristics using temperature range and oil viscosity. As a result, the relative error for loading characteristics is represented it as a diagram. Introduced finite-difference approximation can become the basic part for the Relay step bearings calculations in laminar or turbulent regimes.