Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing

This study investigates the impact of the slip boundary condition at the Fluid/Solid interface on the hydrodynamic behavior of a pad bearing through a comprehensive numerical simulation. A modified Reynolds equation, derived from the Navier-Stokes equations and incorporating the Navier-type boundary...

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Main Authors: Ihssane Messoude, Samir Aghzer
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2025-07-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:https://jacm.scu.ac.ir/article_19429_702fdf3d37fe7975dbe01d0817cb43f1.pdf
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author Ihssane Messoude
Samir Aghzer
author_facet Ihssane Messoude
Samir Aghzer
author_sort Ihssane Messoude
collection DOAJ
description This study investigates the impact of the slip boundary condition at the Fluid/Solid interface on the hydrodynamic behavior of a pad bearing through a comprehensive numerical simulation. A modified Reynolds equation, derived from the Navier-Stokes equations and incorporating the Navier-type boundary conditions on the velocity field at wall contacts, was developed to model the system. The discretization of this equation was performed using the centered finite difference method where the resulting linear system of equations was numerically processed with the Gauss-Seidel iterative method enhanced by over-relaxation. The simulation reveals that introducing the slip condition allows the pad bearing to support loads even in configurations with divergent or parallel surfaces, a capability absent in conventional pad bearings. Specifically, for a convergence ratio of (1.5) and a slip zone covering (55%) of the upper surface, the pad bearing achieves a load capacity increase of (33.5%) compared to the conventional type. Furthermore, this non-conventional pad bearing reduces friction forces by up to (30%), enhancing performance while minimizing shear power dissipation. These numerical findings suggest that incorporating the slip boundary condition can significantly enhance both load capacity and efficiency in pad bearing applications.
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publisher Shahid Chamran University of Ahvaz
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spelling doaj-art-7bc9ef12c3ff4cafb85a74afdbacd3b92025-08-20T02:13:24ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362025-07-0111375476910.22055/jacm.2024.47772.478819429Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad BearingIhssane Messoude0Samir Aghzer1Laboratory of Mechanics, Engineering and Innovation, National Higher School of Electricity and Mechanics, Hassan II University of Casablanca, MoroccoLaboratory of Mechanics, Engineering and Innovation, National Higher School of Electricity and Mechanics, Hassan II University of Casablanca, MoroccoThis study investigates the impact of the slip boundary condition at the Fluid/Solid interface on the hydrodynamic behavior of a pad bearing through a comprehensive numerical simulation. A modified Reynolds equation, derived from the Navier-Stokes equations and incorporating the Navier-type boundary conditions on the velocity field at wall contacts, was developed to model the system. The discretization of this equation was performed using the centered finite difference method where the resulting linear system of equations was numerically processed with the Gauss-Seidel iterative method enhanced by over-relaxation. The simulation reveals that introducing the slip condition allows the pad bearing to support loads even in configurations with divergent or parallel surfaces, a capability absent in conventional pad bearings. Specifically, for a convergence ratio of (1.5) and a slip zone covering (55%) of the upper surface, the pad bearing achieves a load capacity increase of (33.5%) compared to the conventional type. Furthermore, this non-conventional pad bearing reduces friction forces by up to (30%), enhancing performance while minimizing shear power dissipation. These numerical findings suggest that incorporating the slip boundary condition can significantly enhance both load capacity and efficiency in pad bearing applications.https://jacm.scu.ac.ir/article_19429_702fdf3d37fe7975dbe01d0817cb43f1.pdfhydrodynamic lubricationpad bearingnavier slip boundary conditionreynolds equationslip coefficientcritical shear stress
spellingShingle Ihssane Messoude
Samir Aghzer
Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
Journal of Applied and Computational Mechanics
hydrodynamic lubrication
pad bearing
navier slip boundary condition
reynolds equation
slip coefficient
critical shear stress
title Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
title_full Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
title_fullStr Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
title_full_unstemmed Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
title_short Numerical Study of the Effects of the Navier Slip Boundary Condition on the Hydrodynamic Performances of a Newtonian Fluid-lubricated Pad Bearing
title_sort numerical study of the effects of the navier slip boundary condition on the hydrodynamic performances of a newtonian fluid lubricated pad bearing
topic hydrodynamic lubrication
pad bearing
navier slip boundary condition
reynolds equation
slip coefficient
critical shear stress
url https://jacm.scu.ac.ir/article_19429_702fdf3d37fe7975dbe01d0817cb43f1.pdf
work_keys_str_mv AT ihssanemessoude numericalstudyoftheeffectsofthenavierslipboundaryconditiononthehydrodynamicperformancesofanewtonianfluidlubricatedpadbearing
AT samiraghzer numericalstudyoftheeffectsofthenavierslipboundaryconditiononthehydrodynamicperformancesofanewtonianfluidlubricatedpadbearing