NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS

This study intents to scrutinize the impact of ferrofluid in the presence of couple stress for longitudinally rough porous circular stepped plates. The influence of longitudinal surface roughness is developed using the stochastic model of Christensen and Tonder for nonzero mean, variance and skewnes...

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Main Authors: Yoginibahen Devendrasinh Vashi, Rakesh Manilal Patel, Gunamani Biswanath Deheri
Format: Article
Language:English
Published: CTU Central Library 2020-07-01
Series:Acta Polytechnica
Subjects:
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/5599
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spelling doaj-ba255c9efa6a4942a22422d0a8124e262020-11-25T03:29:21ZengCTU Central LibraryActa Polytechnica1210-27091805-23632020-07-0160325926710.14311/AP.2020.60.02595250NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESSYoginibahen Devendrasinh Vashi0Rakesh Manilal Patel1Gunamani Biswanath Deheri2Gujarat Technological University, Alpha College of Engineering and Technology, kalol, Gujarat,382721, IndiaGujrat University, Gujarat Arts and Science College, Ahmedabad, Gujarat-380006, IndiaSardar Patel University, Department of Mathematics Vallabh vidyanagar, Gujarat-388120, IndiaThis study intents to scrutinize the impact of ferrofluid in the presence of couple stress for longitudinally rough porous circular stepped plates. The influence of longitudinal surface roughness is developed using the stochastic model of Christensen and Tonder for nonzero mean, variance and skewness. Neuringer-Roseinweig model is adopted for the influence of ferrofluid. The couple stress effect is characterized by Stoke’s micro continuum theory. The modified Reynolds’ type equation is stochastically averaged and solved by no-slip boundary conditions. The closed form solutions for load bearing capacity and film pressure are obtained as a function of different parameters and plotted graphically. It is perceived that the load capacity gets elevated owing to the combined influence of magnetization and couple stress when the proper choice of roughness parameters (negatively skewed, standard deviation) is in place. Porosity and roughness (positively skewed) adversely affect bearing’s performance. The graphical and tabular analysis shows that there is a significant growth in load bearing capacity compared to the conventional lubricant case.https://ojs.cvut.cz/ojs/index.php/ap/article/view/5599load bearing capacity, ferrofluid, longitudinal roughness, circular stepped plates
collection DOAJ
language English
format Article
sources DOAJ
author Yoginibahen Devendrasinh Vashi
Rakesh Manilal Patel
Gunamani Biswanath Deheri
spellingShingle Yoginibahen Devendrasinh Vashi
Rakesh Manilal Patel
Gunamani Biswanath Deheri
NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
Acta Polytechnica
load bearing capacity, ferrofluid, longitudinal roughness, circular stepped plates
author_facet Yoginibahen Devendrasinh Vashi
Rakesh Manilal Patel
Gunamani Biswanath Deheri
author_sort Yoginibahen Devendrasinh Vashi
title NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
title_short NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
title_full NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
title_fullStr NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
title_full_unstemmed NEURINGER-ROSEINWEIG MODEL BASED LONGITUDINALLY ROUGH POROUS CIRCULAR STEPPED PLATES IN THE EXISTENCE OF COUPLE STRESS
title_sort neuringer-roseinweig model based longitudinally rough porous circular stepped plates in the existence of couple stress
publisher CTU Central Library
series Acta Polytechnica
issn 1210-2709
1805-2363
publishDate 2020-07-01
description This study intents to scrutinize the impact of ferrofluid in the presence of couple stress for longitudinally rough porous circular stepped plates. The influence of longitudinal surface roughness is developed using the stochastic model of Christensen and Tonder for nonzero mean, variance and skewness. Neuringer-Roseinweig model is adopted for the influence of ferrofluid. The couple stress effect is characterized by Stoke’s micro continuum theory. The modified Reynolds’ type equation is stochastically averaged and solved by no-slip boundary conditions. The closed form solutions for load bearing capacity and film pressure are obtained as a function of different parameters and plotted graphically. It is perceived that the load capacity gets elevated owing to the combined influence of magnetization and couple stress when the proper choice of roughness parameters (negatively skewed, standard deviation) is in place. Porosity and roughness (positively skewed) adversely affect bearing’s performance. The graphical and tabular analysis shows that there is a significant growth in load bearing capacity compared to the conventional lubricant case.
topic load bearing capacity, ferrofluid, longitudinal roughness, circular stepped plates
url https://ojs.cvut.cz/ojs/index.php/ap/article/view/5599
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