3d Hydrodynamic Pressure in Gap Height Direction for Cylindrical Bearing Viscoelastic Lubrication

Abstract

In this paper we show the new method of solving the lubrication problem for visco-elastic oils occurring in cylindrical micro-bearing gap. In this method are taking into account all viscoelastic terms without simplifications. In the method presented in this paper for lubricants with non-Newtonian visco-elastic properties are questioning the hitherto prevailing assumptions using in hydrodynamic theory of lubrication such as for example constant value of the hydrodynamic pressure in gap height direction. The objective of the research under the paper topic is an analytical, unified formulation and a new view of general a non-classical solution of hydrodynamic problem of microbearing lubrication using algorithm to determine oil viscoelastic properties of the lubricant and the 3D hydrodynamic pressure distribution taking into account pressure changes in gap height direction.Up to now the complete influences of non-Newtonian visco-elastic oil features on the 3D hydrodynamic pressure distribution in cylindrical microbearing gap were not considered in analytical way. We assume viscous and complete visco-elastic non-Newtonian lubricant directly near the cooperating surfaces. Viscoelastic oil properties are described by means of total form of Rivlin-Ericksen constitutive relations without simplifications.During the solution process the oil velocity components and hydro dynamic pressure are derived. The equation of motion are considered in cylindrical coordinates. Present paper elaborates the analytical method of oil velocity, pressure and friction forces determination for cylindrical slide micro-bearing. In this paper are derived the analytical formulae for velocity components, pressure distributions, in cylindrical micro-bearings.