On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates

In this paper the effect of surface roughness on squeeze film lubrication between circular stepped plates is analysed. The modified non-linear averaged Reynolds type equation is derived on the basis of Christensen’s stochastic theory for rough surfaces for Rabinowitsch fluid model. Accordingly two t...

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Main Authors: Neminath Bujappa Naduvinamani, Siddangouda Apparao, Shivappa Siddappa Siddapur
Format: Article
Language:English
Published: Japanese Society of Tribologists 2016-08-01
Series:Tribology Online
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/trol/11/4/11_519/_pdf/-char/en
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author Neminath Bujappa Naduvinamani
Siddangouda Apparao
Shivappa Siddappa Siddapur
author_facet Neminath Bujappa Naduvinamani
Siddangouda Apparao
Shivappa Siddappa Siddapur
author_sort Neminath Bujappa Naduvinamani
collection DOAJ
description In this paper the effect of surface roughness on squeeze film lubrication between circular stepped plates is analysed. The modified non-linear averaged Reynolds type equation is derived on the basis of Christensen’s stochastic theory for rough surfaces for Rabinowitsch fluid model. Accordingly two types of one-dimensional surface roughness patterns, viz., azimuthal roughness pattern and radial roughness pattern are considered. Averaged non-linear Reynolds equation is solved by using the small perturbation method. Expressions are obtained for the load carrying capacity, squeeze film time. It is observed that the effect of azimuthal (radial) surface roughness pattern on squeeze film lubrication between circular stepped plates with Rabinowitsch fluid is to increase (decrease) the load carrying capacity and squeeze film time significantly as compared to the smooth case and the squeeze film performance improves (suffers) due to the use of dilatant (pseudo plastic) lubricants.
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spelling doaj.art-1e1ae376f37b4d78adf357f33475ee452022-12-21T21:52:39ZengJapanese Society of TribologistsTribology Online1881-21982016-08-0111451952610.2474/trol.11.519trolOn Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped PlatesNeminath Bujappa Naduvinamani0Siddangouda Apparao1Shivappa Siddappa Siddapur2Department of Mathematics, Gulbarga UniversityDepartment of Mathematics, Appa Institute of Engineering & TechnologyDepartment of Mathematics, Government First Grade CollegeIn this paper the effect of surface roughness on squeeze film lubrication between circular stepped plates is analysed. The modified non-linear averaged Reynolds type equation is derived on the basis of Christensen’s stochastic theory for rough surfaces for Rabinowitsch fluid model. Accordingly two types of one-dimensional surface roughness patterns, viz., azimuthal roughness pattern and radial roughness pattern are considered. Averaged non-linear Reynolds equation is solved by using the small perturbation method. Expressions are obtained for the load carrying capacity, squeeze film time. It is observed that the effect of azimuthal (radial) surface roughness pattern on squeeze film lubrication between circular stepped plates with Rabinowitsch fluid is to increase (decrease) the load carrying capacity and squeeze film time significantly as compared to the smooth case and the squeeze film performance improves (suffers) due to the use of dilatant (pseudo plastic) lubricants.https://www.jstage.jst.go.jp/article/trol/11/4/11_519/_pdf/-char/ensurface roughnessazimuthal and radial roughnessrabinowitsch fluidsqueeze filmcircular stepped plates
spellingShingle Neminath Bujappa Naduvinamani
Siddangouda Apparao
Shivappa Siddappa Siddapur
On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
Tribology Online
surface roughness
azimuthal and radial roughness
rabinowitsch fluid
squeeze film
circular stepped plates
title On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
title_full On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
title_fullStr On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
title_full_unstemmed On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
title_short On Non-Newtonian Rabinowitsch Fluid Squeeze Film Lubrication between Rough Circular Stepped Plates
title_sort on non newtonian rabinowitsch fluid squeeze film lubrication between rough circular stepped plates
topic surface roughness
azimuthal and radial roughness
rabinowitsch fluid
squeeze film
circular stepped plates
url https://www.jstage.jst.go.jp/article/trol/11/4/11_519/_pdf/-char/en
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AT shivappasiddappasiddapur onnonnewtonianrabinowitschfluidsqueezefilmlubricationbetweenroughcircularsteppedplates