Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates

In this study, Christensen's stochastic theory is utilized on rough surfaces' hydrodynamic lubricating effect to examine how surface roughness, couple stress fluid, slip velocity, magnetohydrodynamic (MHD), and the triangular surface interact. Modified Reynolds equation is derived analytic...

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Main Authors: Vinutha R, Hanumagowda B. N, Vasanth K. R, Ganesh Kumar K
Format: Article
Language:English
Published: Elsevier 2024-11-01
Series:International Journal of Thermofluids
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666202724003227
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author Vinutha R
Hanumagowda B. N
Vasanth K. R
Ganesh Kumar K
author_facet Vinutha R
Hanumagowda B. N
Vasanth K. R
Ganesh Kumar K
author_sort Vinutha R
collection DOAJ
description In this study, Christensen's stochastic theory is utilized on rough surfaces' hydrodynamic lubricating effect to examine how surface roughness, couple stress fluid, slip velocity, magnetohydrodynamic (MHD), and the triangular surface interact. Modified Reynolds equation is derived analytically using combining theories of Stokes couple stresses, Lorentz forces, and Christensen's stochastic hypothesis about hydrodynamic lubrication. Pressure, load carrying capacity and squeeze film time expression is derived mathematically using Reynolds equation that accounts for surface roughness and coupling stress. For various parameters including rough parameter, slip velocity, Hartmann number, and couple stress, the lubricating characteristics are analysed graphically. Squeeze film time, load carrying capacity, and pressure are enhanced by an increase in slip velocity, couplestress and magnetic field. The lubrication characteristics decreases (increases) on squeeze film pressure, load carrying capacity and squeeze film time through increasing values of the longitudinal (transverse) roughness parameter.
format Article
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institution DOAJ
issn 2666-2027
language English
publishDate 2024-11-01
publisher Elsevier
record_format Article
series International Journal of Thermofluids
spelling doaj-art-ddc93e982f264c29ba41bc285edd965a2025-08-20T02:50:13ZengElsevierInternational Journal of Thermofluids2666-20272024-11-012410088210.1016/j.ijft.2024.100882Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular platesVinutha R0Hanumagowda B. N1Vasanth K. R2Ganesh Kumar K3Department of Mathematics, REVA Independent PU College, Bangalore, Karnataka 560094, IndiaDepartment of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, IndiaDepartment of Mathematics, Nitte (Deemed to be University) NMAM Institute of Technology, Nitte 574110, Udupi Dist., Karnataka, India; Corresponding author.Department of Mathematics, Nitte (Deemed to be University) NMAM Institute of Technology, Nitte 574110, Udupi Dist., Karnataka, IndiaIn this study, Christensen's stochastic theory is utilized on rough surfaces' hydrodynamic lubricating effect to examine how surface roughness, couple stress fluid, slip velocity, magnetohydrodynamic (MHD), and the triangular surface interact. Modified Reynolds equation is derived analytically using combining theories of Stokes couple stresses, Lorentz forces, and Christensen's stochastic hypothesis about hydrodynamic lubrication. Pressure, load carrying capacity and squeeze film time expression is derived mathematically using Reynolds equation that accounts for surface roughness and coupling stress. For various parameters including rough parameter, slip velocity, Hartmann number, and couple stress, the lubricating characteristics are analysed graphically. Squeeze film time, load carrying capacity, and pressure are enhanced by an increase in slip velocity, couplestress and magnetic field. The lubrication characteristics decreases (increases) on squeeze film pressure, load carrying capacity and squeeze film time through increasing values of the longitudinal (transverse) roughness parameter.http://www.sciencedirect.com/science/article/pii/S2666202724003227MHDCouple stressSlip velocityTriangular platesSqueezing filmSurface roughness
spellingShingle Vinutha R
Hanumagowda B. N
Vasanth K. R
Ganesh Kumar K
Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
International Journal of Thermofluids
MHD
Couple stress
Slip velocity
Triangular plates
Squeezing film
Surface roughness
title Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
title_full Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
title_fullStr Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
title_full_unstemmed Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
title_short Theoretical analysis of effect of MHD, couple stress and slip velocity on squeeze film lubrication of rough Triangular plates
title_sort theoretical analysis of effect of mhd couple stress and slip velocity on squeeze film lubrication of rough triangular plates
topic MHD
Couple stress
Slip velocity
Triangular plates
Squeezing film
Surface roughness
url http://www.sciencedirect.com/science/article/pii/S2666202724003227
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