Abstract

The paper presents an isothermal Elastohydrodynamic lubrication (EHL) of line contact problem with grease as a lubricant, described by Herschel-Bulkley model. The simulation of the governing problem is analyzed using Multigrid method with full approximation scheme (FAS) for varying load, speed and rheological index n Herschel-Bulkley model. The EHL problem considered comprises of Reynolds equation and film thickness understudy for different parameters of interest. The minimum film thickness and pressure spike decrease with a decrease in rheological index n. The present paper traces out the comparison of minimum film thickness with the standard results of Dowson and Higginson. The results obtained are comparable and are presented in terms of graphs and tables.

Highlights

  • Elastohydrodynamic lubrication (EHL) is the study of hydrodynamic lubrication in rolling/sliding contacts when the elastic deformation of the solids is significant

  • As most of the roller bearings are lubricated by grease, the EHL equations are solved using grease as a lubricant in order to determine its properties between contacting surfaces

  • Cheng [8] analyzed the influence of pressure and film thickness dispersion in grease EHL, based on its theoretical and numerical analysis in line contact problem using Herschel-Bulkley model for the rheological characteristics of the grease

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Summary

Introduction

EHL is the study of hydrodynamic lubrication in rolling/sliding contacts when the elastic deformation of the solids is significant. Cheng [8] analyzed the influence of pressure and film thickness dispersion in grease EHL, based on its theoretical and numerical analysis in line contact problem using Herschel-Bulkley model for the rheological characteristics of the grease. The effects of thickener structure on film thickness and traction force of lubricating greases in EHL point contact were discussed by Kaneta et al [9] using optical interferometry technique. The actual operating conditions with an assortment of greases for the accurate prediction of film thickness is of immense importance to ensure controlled separation of contacting surfaces, leading to greater life extent of the mechanical components. In this article we consider an isothermal EHL problem with grease as a lubricant for its film formation, adapting multigrid FAS for its solution

Mathematical formulation
Discretization of Reynolds and film thickness equations
Multigrid method
Method of solution
Results and discussion
Conclusions

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