Direct and Inverse Solutions for Elastohydrodynamic Lubrication of Finite Porous Journal Bearings

Abstract

In this paper a numerical solution for the elastohydrodynamic lubrication of a finite porous journal bearing is presented. The Brinkman–extended Darcy model was applied within the porous layer to incorporate the viscous shear stresses into the analysis. A simple elastic model is used to describe the elastic deformation of the liner. An inverse model is introduced to estimate the permeability parameter and/or the eccentricity ratio from experimentally obtained pressure data. As experimental measurements were not conducted, these data were simulated numerically. It consists of a direct solution for the pressure, for given parameters (permeability parameter and/or the eccentricity ratio), to which a normally distributed random error is added. The least-squares optimization technique is used to solve the proposed inverse problem. A unique solution was obtained for one-parameter estimation. The two-parameter estimation case, however, leads to multiple solutions lying on a constant load line.

Performance Characteristics of a Long Porous Partial Journal Bearing using Couple Stress Fluid

“….0 v   (2) Where b  is the body constrain per unit mass and c  , the body couple per unit mass,  is the shear consistency and  the new material constant responsible for the couple stress fluid property.…”

“…They are broadly utilized in home machines, little engines, instruments and construction equipments in light of their minimal effort and great bearing characteristics. The analytical study of porous bearing was made by Morgan et al [1], Elsharkawy et al [2] the instance of finite porous journal bearings lubricated with Newtonian fluid. Self lubricating porous journal bearings are broadly utilized in modern applications in view of their long existence with no outer supply of lubricants.…”

Elastic Deformation Effects on Self-Lubricating Journal Bearings Using Pseudo-Plastic Lubricants

“…The journal bearing performance can be affected by these deformations. The research studies on elasto-hydrodynamic lubrication have shown significant changes due to the flexibility of the bearing bush [1,3]. Dowson and Higginson [4] were the first authors to solve the elasto-hydrodynamic problem numerically under isothermal conditions.…”

Nonlinear transient analysis of rigid rotor mounted on externally pressurized double-layered porous gas journal bearings accounting velocity slip

“…They reported that bushing deformation diminishes the static performance. Although most of the analysis on porous bearings was carried out by neglecting the elastic deformation of porous bushing, the importance of accounting elastic deformations was emphasized by Elsharkawy [13]. Jing Liu [14] presented the influence of structure elastic deformation on bearing dynamics by considering Winkler's model.…”