On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling

Rodríguez, Hassán Lombera; Tello, J. Ignacio

doi:10.1007/978-3-030-12232-4_1

Cited by 3 publications

(1 citation statement)

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“…In 2015, Yousef Alhouli et al [13] discussed the mathematical modeling of new and used engine oil using a classical method. In 2019, Hassan Lombera and J. Ignatio Tello [3] explored the theory of hydrodynamic lubrication as a phenomenon featured by a lubricant flowing in the narrow gap between two closely spaced surfaces in relative motion. In addition, Prashant Thapliyal and G.D. Thakre [9] studied the correlation of physiochemical, rheological and tribological parameters of engine oils.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of the Dynamics of Lubrication

Latifu¹

2021

JECNAM

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A mathematical model is a model that is abstract and employs mathematical objects in order to explore and explain the real-life situation behaviour. The main thrust of the paper is to describe the dynamics of lubrication by assessing oil based on its viscosity .In this paper, a model is built using Reynolds equation together with the momentum and energy equations. Another model called Modulus equation is established by adopting experimental data .It is therefore shown that dependence of viscosity on temperature can be weakened when viscosity increases with growth of pressure.

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Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of the Dynamics of Lubrication

Latifu¹

2021

JECNAM

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On the finite load capacity in misaligned journal bearings

Lombera

Tello

2021

SeMA

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Reynolds Boundary Condition Approximation in Journal Bearings Based on Dynamic Mesh Method

Tian

Song

et al. 2021

Tribology Online

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This paper proposed a new approach to Reynolds boundary condition approximation in journal bearing CFD analysis. Dynamic mesh method was applied to approach the location where the rupture of oil film or cavitation started. A numerical model of half bearing geometry was constructed to obtain the Half-Sommerfeld solution. Using the solution, a pseudo-transient analysis was subsequently conducted. The boundary at the minimum film thickness was treated as the moving boundary. The Reynolds boundary condition was satisfied at a certain point when the pressure derivative of boundary nodes approached zero over the course of mesh growth. The analytical results were compared against the results of published works. It was discovered that the resulting cavitation angle and oil film pressure were consistent with those obtained by taking the Reynolds equation approach, with only slight differences observed from those obtained via the cavitation experiments and models. The proposed method is an extension of Reynolds boundary condition according to the CFD approach. It is considered an alternative to other cavitation models intended for journal bearings.

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On the Reynolds Equation and the Load Problem in Lubrication: Literature Review and Mathematical Modelling

Cited by 3 publications

References 60 publications

Mathematical Modeling of the Dynamics of Lubrication

Mathematical Modeling of the Dynamics of Lubrication

On the finite load capacity in misaligned journal bearings

Reynolds Boundary Condition Approximation in Journal Bearings Based on Dynamic Mesh Method

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