Lubrication of Rough Short Bearing on Shliomis Model by Ferrofluid Considering Viscosity Variation Effect

Mohmmadraiyan M Munshi,G M Deheri,A R Patel

doi:10.33889/ijmems.2019.4.4-078

Mohmmadraiyan M Munshi, G M Deheri + Show 1 more

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https://doi.org/10.33889/ijmems.2019.4.4-078

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Abstract

This study aims to explore the impact caused by change in viscosity and the roughness of a bearing surface on a ferrofluid lubrication of Shliomis model for short bearing. Based on this model and the Tipei (1962) model, a new resultant Reynolds equation has been found that shows thermal variation. The Christensen and Tonder models have been taken to derive the transverse roughness stochastically. An assumed mean has been taken for the probability density function with a non-zero value. This value is assigned to a random variable that measures the bearing’s surface roughness. This creates a more realistic situation that can have a lot of field applications. The model defines the problem mathematically while defining boundary conditions. It also uses the Simpson’s method to derive a conclusion. The results thus obtained are discussed in terms of pressure distribution and load bearing capacity. The graphical results obtained suggest that in the presence of magnetization, there is a significant enhance in the load bearing capacity. This positive effect can easily nullify the negative impact of the thermal effect. The short bearing approximation shown here is an example of the probable applications. Ferrofluids in the presence of magnetic fields significantly enhance the performance of a short bearing.

Highlights

For industrial application, the study of lubrication with magnetic fluid is of primary importance
Some researchers (Deheri et al, 2016; Munshi et al, 2017; Patel et al, 2017; Vashi et al, 2018) have used magnetic fluid as a lubricant in order to aid the tribological performance of a sliding interface
Christensen and Tonder (1969a, b; 1971) used a stochastic concept and came up with a new model for lubricated surfaces with striated roughness using an averaging film. They derived the stochastic Reynolds’ equation and used the results to study the impact of surface roughness on the load bearing capacity in a rough bearing system

Summary

Introduction

Analytical studies performed on hydrodynamic lubrication in a short-bearing non-porous system are very popular. Christensen and Tonder (1969a, b; 1971) used a stochastic concept and came up with a new model for lubricated surfaces with striated roughness using an averaging film They derived the stochastic Reynolds’ equation and used the results to study the impact of surface roughness on the load bearing capacity in a rough bearing system. Deheri and Patel (2011) and Patel et al (2010b) studied the effectiveness of a short bearing with roughness having a mean zero. They worked with a variety of magnetic field magnitudes for their study. Shimpi and Deheri (2010) further worked on the results of (Deheri and Patel, 2011; Patel et al, 2010b) focusing on short bearings with non-zero mean with different form of magnetic field magnitude. It is a commonly known fact that roughness impacts the load bearing capacity substantially

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