An Assessment of Quantitative Predictions of Deterministic Mixed Lubrication Solvers

Wang, Yuechang; Dorgham, Abdel; Liu, Ying; Wang, Chun; Wilson, Mark C. T.; Neville, Anne; Azam, Abdullah

doi:10.1115/1.4047586

Cited by 18 publications

(22 citation statements)

References 23 publications

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“…This approach is practical and has been successfully applied in their subsequent work [14][15][16][17][18].…”

Section: Tribology Lettermentioning

confidence: 99%

“…Li and Kahraman [20] utilized the unified equation system of Zhu and Hu [13], but discretized it by means of an asymmetric integrated control volume. However, LCBCs are ignored in these work [10,12,[14][15][16][17][18]. Deolalikar et al [21] treated lubrication and solid-contact regions separately, using film thickness comparison against a fixed small value to differentiate these two kinds of regions.…”

Section: Tribology Lettermentioning

confidence: 99%

“…LCBCs are dealt with to some extent in these works [11,21]. It should be noted that references [10][11][12][13][14][15][16][17][18][19][20][21] have successfully used surface gap values to determine whether a node is under fluid-film lubrication or is a solid contact, and thus temporary boundaries between film lubrication and solid contacts can be obtained before each iteration. Once the iteration process is completed, this partition becomes final.…”

Section: Tribology Lettermentioning

confidence: 99%

“…Furthermore, for the S1B scheme, one could use * + * ( − − ) in Eq. ( 17) and (18). Unlike options i-iv, options v and vi can not be further simplified, so if chosen, they can be treated as two terms with the 2B schemes.…”

Section: D Problemsmentioning

confidence: 99%

“…(31) and −1, * −1, + −1, * ( , − − , ) in Eq. (32). Note that subscripts in the right hand side of Eqs.…”

Section: Northmentioning

confidence: 99%

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Lubrication-Contact Boundary Conditions for Lubrication Problems

Liu¹

2021

Preprint

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Under sever conditions, asperity contacts take place, surrounded by fluid lubrication. Mathematical descriptions are needed to describe local connection between fluid lubrication and solid contacts. In order to differentiate them from conventional boundary conditions, these conditions are called lubrication-contact boundary conditions (LCBCs), which have not been sufficiently addressed by previous studies. In this work, a set of LCBCs formulations are constructed based on local flow continuity from the continuum mechanics point of view, together with pressure inequalities. Numerical implementations are developed and tested with problems involving simple geometries, and they are expected to be integrated with mixed/boundary EHL solvers, as well as be applied to deterministic sub-models of stochastic models in order to obtain flow factors that consider solid contacts.

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“…This approach is practical and has been successfully applied in their subsequent work [14][15][16][17][18].…”

Section: Tribology Lettermentioning

confidence: 99%

Section: Tribology Lettermentioning

confidence: 99%

Section: Tribology Lettermentioning

confidence: 99%

Section: D Problemsmentioning

confidence: 99%

“…(31) and −1, * −1, + −1, * ( , − − , ) in Eq. (32). Note that subscripts in the right hand side of Eqs.…”

Section: Northmentioning

confidence: 99%

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Lubrication-Contact Boundary Conditions for Lubrication Problems

Liu¹

2021

Preprint

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Lubrication–Contact Interface Conditions and Novel Mixed/Boundary Lubrication Modeling Methodology

et al. 2021

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Under severe conditions, solid contacts take place even when parts are lubricated. Precise mathematical conditions are needed to describe the interior interface between fluid lubrication and solid-contact zones. In order to distinguish the conditions for this interface from conventional lubrication boundary conditions, they are named lubrication–contact interface conditions (LCICs). In this work, mathematical LCICs are derived with local flow continuity from the continuum mechanics point of view and pressure inequality across the interface. Numerical implementations are developed and tested with problems having simple geometries and configurations, and they are integrated into a new mixed/boundary elastohydrodynamic lubrication solver that uses a new method to determine solid-contact pressures. This solver is capable of capturing film thickness and pressure behaviors involving solid contacts.

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An EHL Extension of the Unsteady FBNS Algorithm

2022

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Many engineering applications rely on lubricated gaps where the hydrodynamic pressure distribution is influenced by cavitation phenomena and elastic deformations. To obtain details about the conditions within the lubricated gap, solvers are required that can model cavitation and elastic deformation effects efficiently when a large amount of discretization cells is employed. The presented unsteady EHL-FBNS solver can compute the solution of such large problems that require the consideration of both mass-conserving cavitation and elastic deformation. The execution time of the presented algorithm scales almost with $$N\log (N)$$ N log ( N ) where N is the number of computational grid points. A detailed description of the algorithm and the discretized equations is presented. The MATLAB$$^{\copyright }$$ © code is provided in the supplements along with a maintained version on GitHub to encourage its usage and further development. The output of the solver is compared to and validated with analytical, simulated, and experimental results from the literature to provide a detailed comparison of different discretization schemes of the Couette term in presence of gap height discontinuities. As a final result, the most favorable scheme is identified for the unsteady study of surface textures in ball-on-disc tribometers under EHL conditions.

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An Assessment of Quantitative Predictions of Deterministic Mixed Lubrication Solvers

Cited by 18 publications

References 23 publications

Lubrication-Contact Boundary Conditions for Lubrication Problems

Lubrication-Contact Boundary Conditions for Lubrication Problems

Lubrication–Contact Interface Conditions and Novel Mixed/Boundary Lubrication Modeling Methodology

An EHL Extension of the Unsteady FBNS Algorithm

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