Navier–Stokes Analysis of a Regular Two-Dimensional Roughness Pattern Under Turbulent Flow Regime

Billy, F.; Arghir, Mihaï; Pineau, G.

doi:10.1115/1.2000271

Cited by 11 publications

(6 citation statements)

References 10 publications

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“…The dimensionless shear stress is plotted with Couette and Poiseuille flows [6], the friction coefficient, leakage for different shapes of asperities are obtained [5]. But all these studies have not been interested to micro-asperity sizing.…”

Section: Discussionmentioning

confidence: 99%

The Wear and Drag Predictions of the Micro-Asperities on Textured Wall

Traore

Wang

2011

AMR

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This study presented a theoretical method to find approximated dimensions of the rectangular micro-asperity. The suitable values required for the asperity’s width and its critical length are found for different values of the flow speed. Numerical calculation is carried out using the solidworks flow simulation; the simulation results illustrated the flow speed trajectory, the variation of the shear stress and the flow pressure on different faces of the micro-asperities. The turbulence area due to the micro-asperity geometry is localized. The prediction of the maximum wear area, due to the skin friction, is also localized in consideration of the shear stress variation.

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Section: Discussionmentioning

confidence: 99%

The Wear and Drag Predictions of the Micro-Asperities on Textured Wall

Traore

Wang

2011

AMR

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“…However, the flow is often turbulent (for the Reynolds numbers > 1000) especially in high speed bearings. The Reynolds averaged Navier-Stokes equations can be used to describe turbulent flows for roughened surfaces 43,44) . The unified approach will also be extended into PDEs in order to include turbulent flow effects.…”

Section: Discussionmentioning

confidence: 99%

A Unified Computational Approach to the Optimization of Surface Textures:One Dimensional Hydrodynamic Bearings

2010

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In tribological applications, surface textures are used to increase load capacity and reduce friction losses in hydrodynamic lubricated contacts. However, there is no systematic, efficient and general approach allowing for the optimization of surface texture shapes to give an optimal performance. The work conducted is, in most cases, by "trial and error", i.e. changes are introduced and their effects studied. This is time consuming and inefficient. In this paper, a unified computational approach to the optimization of texture shapes in bearings is proposed. The approach aims at finding the optimal texture shape that supports the maximum load and/or minimizes friction losses in one dimensional hydrodynamic bearings. The texture shape optimization problem is transformed into a nonlinearly constrained mathematical programming problem with general constraints that can be solved using optimal control software. Load-carrying capacity or friction force of a bearing becomes an objective functional that is maximized or minimized, subject to: (i) any Reynolds equations given by first order ordinary differential equations, (ii) pressure boundary conditions and (iii) functions/parameters that define the surface texture shape. This newly developed approach is demonstrated on examples of parallel textured hydrodynamic bearings. The effects of non-Newtonian fluids, cavitation and viscosity varying with temperature are considered.

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“…Fluid inertia is a universal phenomenon of fluid mechanics in hydrodynamic lubrication. Billy et al [2][3] indicated that fluid inertia can cause fluid recirculation and affect the fluid pressure buildup, resulting in a net load-carrying capacity (LCC) for textured surfaces. Cupillard et al [4] pointed out that it may also reduce the LCC, which is closely related to the texture geometric parameters.…”

Section: Introductionmentioning

confidence: 99%

Effects of the cavitation and fluid inertia on the performance in dimpled mechanical seal

Ma,

Cui

2024

J. Phys.: Conf. Ser.

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To develop a hydrodynamic lubrication model of mechanical seals considering cavitation and fluid inertia and investigate the effects of cavitation and fluid inertia on the sealing performance of a textured mechanical seal, a finite element numerical procedure combined with a Newton-downhill scheme is developed. The numerical model was validated by comparing the results of the Reynolds equation with JFO theory (RE-JFO) and CFD simulation. The effects of fluid inertia and cavitation on the sealing performance are numerically compared and analyzed. Compared with the RE-JFO, the present model gives a better description of cavitation and fluid inertia. The results show that the centrifugal inertia can produce a throttling effect, and thus the leakage rate is reduced. The occurrence of cavitation improves the load-carrying capacity and reduces the coefficient of friction. The textures have a dominant influence on the sealing performance.

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Navier–Stokes Analysis of a Regular Two-Dimensional Roughness Pattern Under Turbulent Flow Regime

Cited by 11 publications

References 10 publications

The Wear and Drag Predictions of the Micro-Asperities on Textured Wall

The Wear and Drag Predictions of the Micro-Asperities on Textured Wall

A Unified Computational Approach to the Optimization of Surface Textures:One Dimensional Hydrodynamic Bearings

Effects of the cavitation and fluid inertia on the performance in dimpled mechanical seal

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