Analysis of the thermal elastohydrodynamic lubrication of a finite line contact

Liu, Xiaoling; Yang, Peiran

doi:10.1016/s0301-679x(01)00107-4

Cited by 67 publications

(27 citation statements)

References 8 publications

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“…In this article, the algorithm developed by Liu and Yang [17] for the fully flooded finite line contact EHL problem is modified for the starved finite line contact problem.…”

Section: Methodsmentioning

confidence: 99%

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Numerical Analysis of the Oil-Supply Condition in Isothermal Elastohydrodynamic Lubrication of Finite Line Contacts

Liu

Yang

2010

Tribol Lett

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In order to investigate the effect of oil-supply condition on the lubrication performance of machine components, such as gears and roll bearings, a full numerical solution of the isothermal finite line contact elastohydrodynamic lubrication (EHL) problem under different oil-supply conditions was obtained. The supplied oil quantity was given with the thicknesses of layers of oil films on both solid surfaces, and an equivalent thickness of such supplied oil films was introduced. An algorithm similar to that proposed by Elrod in 1981 was developed to determine the pressure starting position automatically. The pressure field was solved with a multi-grid solver which enables the difficulty of the huge mesh differences in two directions be overcome easily. The surface deformation produced by pressure was calculated with a multilevel multi-integration method. Based on the Newtonian lubricant assumption, comparisons of solutions between the starved and fully flooded contacts have been made. Results show that the pressure starting position and the central and minimum film thicknesses vary with different oil-supply thicknesses. In addition, the influence of the thickness of the oil-supply layer, the end profile radius, the entrainment velocity, and the maximum Hertzian pressure on the starved fluid film thickness has been investigated. In conclusion, the optimum quantity of the supplied oil is very important for the discussed problem.

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“…In this article, the algorithm developed by Liu and Yang [17] for the fully flooded finite line contact EHL problem is modified for the starved finite line contact problem.…”

Section: Methodsmentioning

confidence: 99%

“…Park and Kim [16] obtained a numerical solution of the EHL of a finite line contact using a finite difference and the Newton-Raphson method, whose numerical procedure is fully systematic. Recently, Liu and Yang [17] carried out the thermal finite line contact analysis. All above studies assumed that the contact was fully flooded.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of the Oil-Supply Condition in Isothermal Elastohydrodynamic Lubrication of Finite Line Contacts

Liu

Yang

2010

Tribol Lett

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“…Based on the work done by Liu and Yang, the temperature field in the wheel and rail is obtained by solving the following equations in dimensionless form:

{CN}_{a} U_{a} \frac{\partial \overset{T}{true}}{\partial X} = \frac{\partial^{2} \overset{T}{true}}{\partial {\overset{false¯}{z}}_{a}^{2}}

{CN}_{b} U_{b} \frac{\partial \overset{T}{true}}{\partial X} = \frac{\partial^{2} \overset{T}{true}}{\partial {\overset{false¯}{z}}_{b}^{2}},

where

{CN}_{a} = {bUc}_{a} ρ_{a} / k_{a}, {CN}_{b} = {bUc}_{b} ρ_{b} / k_{b}, {\overset{false¯}{z}}_{a, b} = \frac{z_{a, b}}{h}

. k a and k b are the thermal conductivity of solid a and b , respectively.…”

Section: Numerical Modelmentioning

confidence: 99%

Numerical investigation on the high‐speed wheel/rail adhesion under the starved interfacial contaminations with surface roughness

2020

Lubrication Science

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This paper presents a new numerical model of wheel/rail in rolling contact to study the adhesion mechanism under the starved interfacial contaminations at high speed considering surface roughness. A thermal starved mixed elastohydrodynamic lubrication (EHL) theory is hired in the model. The empirical equations for analysing the contact force of rough surfaces that are based on amount of accurate finite element analysis (FEA) of an elastic‐plastic single‐asperity contact over a rigid flat are proposed. Multilevel method is used to solve the modified Reynolds equations, and sweeping column method is used to solve energy and heat conduction equations. The pressure field, the fractional film content, and the temperature field are obtained through the present model. In addition, the influences of train speed, surface roughness amplitudes, and inlet film thickness on the adhesion coefficient are investigated. The results from the present model have been compared with those from flooded analyses for water and oil‐contamination cases. The numerical results show that the inlet film thickness and the train speed had a significant effect on the wheel/rail adhesion ability.

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“…The main difficulty of temperature computation comes from the backward flow in the computation domain, especially at the high speed. According to the work done by Yang et al, 24 if proper formulas in the X-direction are used, the finite difference method is stable enough for temperature calculation.…”

Section: Rheological Modelmentioning

confidence: 99%

Numerical analysis of high-speed wheel/rail adhesion under interfacial liquid contamination using an elastic-plastic asperity contact model

Wen

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part J:

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The objective of this paper is to investigate the high-speed wheel/rail adhesion under interfacial liquids contamination using a numerical model. This model considers the rheological property of interfacial liquids, elastic-plastic deformation of microasperities contact and the temperature across the film thickness. The pressure and the temperature fields can be obtained. The effects of train speed, surface roughness parameters, characteristic shear stress, and the slip ratio are investigated. Furthermore, the present model is compared with the elastic model and the elastic-plastic model without considering the thermal effect. The numerical results show that the train speed and temperature affects the wheel/rail adhesion significantly.

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Analysis of the thermal elastohydrodynamic lubrication of a finite line contact

Cited by 67 publications

References 8 publications

Numerical Analysis of the Oil-Supply Condition in Isothermal Elastohydrodynamic Lubrication of Finite Line Contacts

Numerical Analysis of the Oil-Supply Condition in Isothermal Elastohydrodynamic Lubrication of Finite Line Contacts

Numerical investigation on the high‐speed wheel/rail adhesion under the starved interfacial contaminations with surface roughness

Numerical analysis of high-speed wheel/rail adhesion under interfacial liquid contamination using an elastic-plastic asperity contact model

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