The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball

This paper investigated the effects of porous media layer (PML) and couple stress (CS) lubricants at pure squeeze action in an isothermal elastohydrodynamic lubrication (EHL) point contact with surface roughness (SRN) under constant load condition. The modified transient stochastic Reynolds equation...

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Main Authors: Li-Ming Chu, Cai-Wan Chang-Jian, Hsiang-Chen Hsu
Format: Article
Language:English
Published: SAGE Publishing 2022-06-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/16878132221099812
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author Li-Ming Chu
Cai-Wan Chang-Jian
Hsiang-Chen Hsu
author_facet Li-Ming Chu
Cai-Wan Chang-Jian
Hsiang-Chen Hsu
author_sort Li-Ming Chu
collection DOAJ
description This paper investigated the effects of porous media layer (PML) and couple stress (CS) lubricants at pure squeeze action in an isothermal elastohydrodynamic lubrication (EHL) point contact with surface roughness (SRN) under constant load condition. The modified transient stochastic Reynolds equation was derived in polar coordinates by means of the Christensen’s stochastic theory and the Stokes’s CS fluid theory. The Gauss-Seidel method (GSM) and the finite difference method (FDM) were both used to solve simultaneously modified transient stochastic Reynolds, force equilibrium, elasticity deformation, and rheology equations. The simulation results revealed that the greater permeability ( K ) and porous layer thickness (Φ) are, the smaller central pressures ( P c ) are, and the smaller film thicknesses ( H ) are. The times required for achieving maximum central pressures (Pc max ) decrease with increasing K and Φ. Due to squeeze and elastic deformation effects, the slope values of central velocity ( V c ) change from negative to positive. The magnitude of V c and V min decreased with decreasing K and Φ. The Hcmin of circular type RN are greater than that of radial type RN. The Pc max of radial type RN are slightly greater than that of circular type RN.
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spelling doaj.art-c3d71bb28693410e923ead926b3525c82022-12-22T03:30:50ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402022-06-011410.1177/16878132221099812The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ballLi-Ming Chu0Cai-Wan Chang-Jian1Hsiang-Chen Hsu2Interdisciplinary Program of Green and Information Technology, Department of Applied Science, National Taitung University, Taitung CityDepartment of Mechanical and Automation Engineering, I-Shou University, Kaohsiung CityDepartment of Industrial Management, I-Shou University, Kaohsiung CityThis paper investigated the effects of porous media layer (PML) and couple stress (CS) lubricants at pure squeeze action in an isothermal elastohydrodynamic lubrication (EHL) point contact with surface roughness (SRN) under constant load condition. The modified transient stochastic Reynolds equation was derived in polar coordinates by means of the Christensen’s stochastic theory and the Stokes’s CS fluid theory. The Gauss-Seidel method (GSM) and the finite difference method (FDM) were both used to solve simultaneously modified transient stochastic Reynolds, force equilibrium, elasticity deformation, and rheology equations. The simulation results revealed that the greater permeability ( K ) and porous layer thickness (Φ) are, the smaller central pressures ( P c ) are, and the smaller film thicknesses ( H ) are. The times required for achieving maximum central pressures (Pc max ) decrease with increasing K and Φ. Due to squeeze and elastic deformation effects, the slope values of central velocity ( V c ) change from negative to positive. The magnitude of V c and V min decreased with decreasing K and Φ. The Hcmin of circular type RN are greater than that of radial type RN. The Pc max of radial type RN are slightly greater than that of circular type RN.https://doi.org/10.1177/16878132221099812
spellingShingle Li-Ming Chu
Cai-Wan Chang-Jian
Hsiang-Chen Hsu
The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
Advances in Mechanical Engineering
title The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
title_full The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
title_fullStr The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
title_full_unstemmed The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
title_short The effects of couple stress lubricants and surface roughness on squeeze EHL motion between porous medium layer and elastic ball
title_sort effects of couple stress lubricants and surface roughness on squeeze ehl motion between porous medium layer and elastic ball
url https://doi.org/10.1177/16878132221099812
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