Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication

In the present paper the effect of micropolar squeeze film lubrication between a cylinder and a poroelastic flat plate is presented. The synovial fluid is modeled as the micropolar fluid and the articular cartilage is considered to be a poroelastic in nature. The modified averaged Reynolds equation...

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Main Authors: Neminath B. Naduvinamani, Savitramma G. Katti
Format: Article
Language:English
Published: Japanese Society of Tribologists 2014-02-01
Series:Tribology Online
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/trol/9/1/9_21/_pdf/-char/en
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author Neminath B. Naduvinamani
Savitramma G. Katti
author_facet Neminath B. Naduvinamani
Savitramma G. Katti
author_sort Neminath B. Naduvinamani
collection DOAJ
description In the present paper the effect of micropolar squeeze film lubrication between a cylinder and a poroelastic flat plate is presented. The synovial fluid is modeled as the micropolar fluid and the articular cartilage is considered to be a poroelastic in nature. The modified averaged Reynolds equation accounting for the randomized surface roughness structure as well as elastic nature of articular cartilage with micropolar fluid as lubricant is derived. The Christensen stochastic theory for rough surfaces is used to study the effect of two types of one dimensional surface roughness on the squeeze film characteristics of a cylinder and a rough poroelastic flat plate with micropolar fluid. Results are presented for the performance of the synovial joint with the experimentally validated values of the cartilage elasticity and permeability. It is observed that, the transverse roughness pattern improves the squeeze film characteristics whereas the squeeze film bearing performance is affected due to the presence of one-dimensional longitudinal surface roughness. These effects are more pronounced for the micropolar fluids.
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spelling doaj.art-baa58890d2a042cf8492c01475c8dc872022-12-21T21:52:59ZengJapanese Society of TribologistsTribology Online1881-21982014-02-0191213010.2474/trol.9.21trolMicropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint LubricationNeminath B. Naduvinamani0Savitramma G. Katti1Department of Mathematics, Gulbarga UniversityDepartment of Mathematics, Gulbarga UniversityIn the present paper the effect of micropolar squeeze film lubrication between a cylinder and a poroelastic flat plate is presented. The synovial fluid is modeled as the micropolar fluid and the articular cartilage is considered to be a poroelastic in nature. The modified averaged Reynolds equation accounting for the randomized surface roughness structure as well as elastic nature of articular cartilage with micropolar fluid as lubricant is derived. The Christensen stochastic theory for rough surfaces is used to study the effect of two types of one dimensional surface roughness on the squeeze film characteristics of a cylinder and a rough poroelastic flat plate with micropolar fluid. Results are presented for the performance of the synovial joint with the experimentally validated values of the cartilage elasticity and permeability. It is observed that, the transverse roughness pattern improves the squeeze film characteristics whereas the squeeze film bearing performance is affected due to the presence of one-dimensional longitudinal surface roughness. These effects are more pronounced for the micropolar fluids.https://www.jstage.jst.go.jp/article/trol/9/1/9_21/_pdf/-char/ensynovial jointsurface roughnessporo-elasticarticular cartilagemicropolar fluidsqueeze film
spellingShingle Neminath B. Naduvinamani
Savitramma G. Katti
Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
Tribology Online
synovial joint
surface roughness
poro-elastic
articular cartilage
micropolar fluid
squeeze film
title Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
title_full Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
title_fullStr Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
title_full_unstemmed Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
title_short Micropolar Fluid Poro-Elastic Squeeze Film Lubrication between a Cylinder and a Rough Flat Plate — A Special Reference to Synovial Joint Lubrication
title_sort micropolar fluid poro elastic squeeze film lubrication between a cylinder and a rough flat plate mdash a special reference to synovial joint lubrication
topic synovial joint
surface roughness
poro-elastic
articular cartilage
micropolar fluid
squeeze film
url https://www.jstage.jst.go.jp/article/trol/9/1/9_21/_pdf/-char/en
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AT savitrammagkatti micropolarfluidporoelasticsqueezefilmlubricationbetweenacylinderandaroughflatplatemdashaspecialreferencetosynovialjointlubrication