The finite volume solution of the Reynolds equation of lubrication with film discontinuities

Arghir, Mihaï; Alsayed, Ahmad R.; Nicolas, D.

doi:10.1016/s0020-7403(02)00166-2

Cited by 79 publications

(47 citation statements)

References 9 publications

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“…CV faces can be aligned with film thickness discontinuities to minimize discretization errors [6]. Additional nodes can easily be placed around discontinuities to decrease discretization errors.…”

Section: Discretizationmentioning

confidence: 99%

Numerical analysis and optimization of surface textures for a tilting pad thrust bearing

Gropper

Harvey

Wang

2018

Tribology International

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A B S T R A C TA numerical model based on the Reynolds equation to study textured tilting pad thrust bearings considering massconserving cavitation and thermal effects is presented. A non-uniform and adaptive finite volume method is utilized and two methods are compared and selected regarding their efficiency in handling discontinuities; specifically placing additional nodes closely around discontinuities and directly incorporating discontinuities in the discrete system. Multithreading is applied to improve the computational performance and three root-finding methods to evaluate the bearing equilibrium are compared; namely Newton-Raphson method, Broyden's method with Sherman-Morrison formula and a continuation approach with fourth-order Runge-Kutta method. Results from the equivalent untextured bearing are utilized to accelerate the computation of the textured bearing and results are validated by comparison with CFD data.

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Section: Discretizationmentioning

confidence: 99%

Numerical analysis and optimization of surface textures for a tilting pad thrust bearing

Gropper

Harvey

Wang

2018

Tribology International

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“…The procedure, in this paper for the numerical solution of the Reynolds equation, in the specific case of a discontinuous oil film thickness, was introduced by Arghir et al (2002) in one dimension and expanded to two dimensions in Machado and Cavalca (2011). The approach uses a discretization of the fluid film into a finite volumes mesh ( Figure 2).…”

Section: Hydrodynamic Bearings With Geometric Discontinuitiesmentioning

confidence: 99%

Experimental validation of a bearing wear model using the directional response of the rotor-bearing system

Machado

Cavalca

2016

An. Acad. Bras. Ciênc.

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The present work gives continuity in the analysis of the wear influence on cylindrical hydrodynamic bearings by presenting an experimental validation of the wear model previously proposed by the authors. This validation is carried on using the frequency response of the rotor-bearings system in directional coordinates. For this purpose, a test rig was assembled in order to evaluate the behavior of the rotating system when supported by hydrodynamic bearings with different wear patterns. The experimental measurements are used to validate the wear model, comparing the anisotropy influence on the experimental and numerical responses. The simulated directional frequency responses showed a good agreement with the experimental ones, demonstrating the potential of the proposed wear model in satisfactorily represent its influence on the rotor-bearings system response in the frequency range where the numerical model was validated.

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“…An analytical solution of the second order differential equation (1) is not trivial and numerical techniques are usually sought to tackle the problem. A finite volume method (FVM), similar to that of Arghir [18], is used here to discretise Eq.1, whereby the fluid domain is divided into a series of control volumes or cells. The governing equation is then integrated over each individual control volume which results in the equation being reduced to the sum of the fluxes acting at each cell interface.…”

Section: Fluid Formulationmentioning

confidence: 99%

“…At an incremental time-step, t, two independent algorithms, namely a fluid solver based on a finite volume representation of the Reynolds" equation [18] and an elastic solid solver based on the distributed dislocation technique [19], are coupled at the liquid/solid interface. A schematic of the strategy adopted for the two solvers is shown in Fig.…”

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confidence: 99%

A coupled approach for rolling contact fatigue cracks in the hydrodynamic lubrication regime: The importance of fluid/solid interactions

Balcombe

Fowell

Olver

et al. 2011

Wear

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This article presents a novel approach for modelling rolling contact fatigue cracks in the presence of lubricants. The proposed formulation captures the interaction between fluid pressure and solid deflections both at the contact interface and along the crack faces using a fully coupled finite volume/boundary element solver. This enables shedding light on the mechanisms which govern crack propagation in various loading conditions and geometrical configurations. It is shown that by linking the fluid behaviour and the elastic deflections within the crack to the film formed at the contact interface it is possible to overcome one of the main limitations of classical models available in the literature, which consists in having to prescribe pressure and/or pressure gradient at the crack mouth during the each loading cycle. The application of linear elastic fracture mechanics principles for the determination of crack stress intensity factors suggests that the results obtained using the approach developed by the authors produce a more realistic characterisation of the crack tip behaviour and it is capable of producing an improved estimate of crack propagation rates. Implications of these findings for the development of rolling contact fatigue lifing tools and potential extensions of the technique are also discussed.

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The finite volume solution of the Reynolds equation of lubrication with film discontinuities

Cited by 79 publications

References 9 publications

Numerical analysis and optimization of surface textures for a tilting pad thrust bearing

Numerical analysis and optimization of surface textures for a tilting pad thrust bearing

Experimental validation of a bearing wear model using the directional response of the rotor-bearing system

A coupled approach for rolling contact fatigue cracks in the hydrodynamic lubrication regime: The importance of fluid/solid interactions

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