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Theoretical analysis of single-layered porous short journal bearing under the lubrication of micropolar fluid

  • Biplab BhattacharjeeEmail author
  • Prasun Chakraborti
  • Kishan Choudhuri
Technical Paper
  • 48 Downloads

Abstract

The imperative characteristics of micropolar (non-Newtonian) fluid-lubricated short single-layered porous journal bearing are analysed theoretically by an iterative method. With the presence of very few available data for micropolar lubrication, the results acquired in the present study are compared with previously published results using the conventional lubricant and found to be in the perfect covenant. The modified Reynolds equation in case of micropolar fluid is derived and solved numerically to investigate bearing characteristics and to show the comparison with published results in the form of design charts. The results established that the micropolar fluid significantly improves lubricating conditions and load capacity as compared with the corresponding Newtonian case. It has been observed that micropolar fluid-lubricated porous journal bearing gives high load-carrying capacity than other conventional lubricants.

Keywords

Porous journal bearings Micropolar lubricant Modified Reynolds equation Load capacity Stiffness 

List of symbols

c

Radial clearance

e

Eccentricity

\(\varepsilon\)

Eccentricity ratio \(= e/c\)

L

Bearing length

R

Radius of the journal

H

Thickness of porous layer

\(\bar{H}\)

H in non-dimensional form

h

Micropolar fluid film thickness

\(\bar{h}\)

Non-dimensional film thickness

k

Permeability of porous medium

\(l\)

Characteristic length of micropolar suspension

\(\bar{l}\)

l in non-dimensional form

N

Coupling number

p

Micropolar fluid film pressure

\(\bar{p}\)

p in non-dimensional form

x, y, z

Coordinates in Cartesian form

\(\theta\)

Circumferential coordinate \(= x/R\)

\(\gamma\)

Absolute viscosity

\({\beth }\)

Micropolar (spin) viscosity

\(p^{*}\)

Pressure inside the porous layer

\(v^{*}\)

Velocity of fluid flow through the porous layer

\(\delta\)

Bearing number

\(\alpha\)

Permeability parameter

M

Mass flow rate

\(\bar{M}\)

M in non-dimensional form

t

Time

u, v, w

Components of fluid velocity in X, Y and Z directions

V

Micropolar fluid film velocity

W

Load-carrying capacity

\(\bar{W}\)

W in non-dimensional form

K

Coefficient of stiffness

\(\bar{K}\)

K in non-dimensional form

Notes

Acknowledgements

The author(s) would like to acknowledge the editor and the reviewers for their valuable instructions and suggestions to improve the quality of the manuscript.

Compliance with ethical standards

Conflict of interest

No financial support is received from any source to perform this research work, and the authors of this paper declared that they have no conflict of interest.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Biplab Bhattacharjee
    • 1
    Email author
  • Prasun Chakraborti
    • 2
  • Kishan Choudhuri
    • 1
  1. 1.Department of Production EngineeringNIT AgartalaAgartalaIndia
  2. 2.Department of Mechanical EngineeringNIT AgartalaAgartalaIndia

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