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Analysis of the viscosity dependent parameters of couple stress fluid in porous parallel plates

V.S. Madalli (Department of Mathematics/MCA, KLE Institute of Technology, Hubballi, India)
Siddharama Patil (Department of Science, Government Polytechnic, Shorapur, India)
Ayyappa Hiremath (Department of Mathematics, Poojya Doddappa Appa College of Engineering, Gulbarga, India)
Ramesh Kudenatti (Department of Mathematics, Bangalore University, Bangalore, India)

Industrial Lubrication and Tribology

ISSN: 0036-8792

Article publication date: 2 August 2018

Issue publication date: 17 August 2018

99

Abstract

Purpose

This paper aims to present a detailed analysis to explore the various properties of non-Newtonian couple stress lubricants between parallel porous plates.

Design/methodology/approach

With reference to the theories based on micro-continuum analysis, a non-linear, non-Newtonian Reynolds type equation is arrived. The closed form solutions obtained clearly indicate the changes in pressure, load bearing capacity and response time because of variation in viscosity of couple stress fluid.

Findings

It is observed that the viscosity variation factor greatly influences the change in pressure, load carrying capacity and squeezing time.

Originality/value

It is observed that the nature of lubricants with suitable additives greatly helps in overcoming the adverse effect because of porous surface. Reynolds type equation is analysed using appropriate boundary conditions. The expression for pressure distribution arrived at in turn leads to the analysis of load bearing capacity and response time.

Keywords

Acknowledgements

The first Author acknowledges with sincere gratitude the continuous support Dr B.S. Anami, Principal K L E Institute of Technology Hubballi, India. The authors are also thankful to Dr N.B. Naduvinmani, Professor of Mathematics , Gulbarga University Gulbarga, Dr S.G. Joshi Professor Civil Engineering and Dr Yerriswamy Professor in Electronics engineering of K L E Institute of Technology, Hubballi, for their constructive discussion.

Citation

Madalli, V.S., Patil, S., Hiremath, A. and Kudenatti, R. (2018), "Analysis of the viscosity dependent parameters of couple stress fluid in porous parallel plates", Industrial Lubrication and Tribology, Vol. 70 No. 6, pp. 1086-1093. https://doi.org/10.1108/ILT-10-2017-0315

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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