A homogenized micro-elastohydrodynamic lubrication model: Accounting for non-negligible microscopic quantities

Checo, Hugo; Dureisseix, David; Fillot, Nicolas; Raisin, Jonathan

doi:10.1016/j.triboint.2019.01.022

Cited by 5 publications

(6 citation statements)

References 26 publications

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“…Mass conservation in the angular direction can then be applied to keep the balance of mass flux at the macro-scale boundaries (19),…”

Section: Macro-scale Lubricationmentioning

confidence: 99%

“…Following Patir and Cheng's method, numerous authors employed the averaged Reynolds equations and flow factors were evaluated by various techniques. [17][18][19] A significant contribution to these averaged approaches was achieved by Almqvist and Dasht, 18 who derived mathematical equations to calculate the flow factors in a local domain with the dimension of the roughness wavelength. Subsequently, the homogenized Reynolds equations inclusive of surface topography were extensively adopted for HL.…”

Section: Introductionmentioning

confidence: 99%

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Two-scale homogenization of hydrodynamic lubrication in a mechanical seal with isotropic roughness based on the Elrod cavitation algorithm

Han

Meng

Boer

2021

Proceedings of the Institution of Mechanical Engineers, Part J:

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A two-scale homogenization method for modelling the hydrodynamic lubrication of mechanical seals with isotropic roughness was developed and presented the influence of surface topography coupled into the lubricating domain. A linearization approach was derived to link the effects of surface topography across disparate scales. Solutions were calculated in a polar coordinate system derived based on the Elrod cavitation algorithm and were determined using homogenization of periodic simulations describing the lubrication of a series of surface topographical features. Solutions obtained for the hydrodynamic lubrication regime showed that the two-scale homogenization approach agreed well with lubrication theory in the case without topography. Varying topography amplitude demonstrated that the presence of surface topography improved tribological performance for a mechanical seal in terms of increasing load-carrying capacity and reducing friction coefficient in the radial direction. A Stribeck curve analysis was conducted, which indicated that including surface topography led to an increase in load-carrying capacity and a reduction in friction. A study of macro-scale surface waviness showed that the micro-scale variations observed were smaller in magnitude but cannot be obtained without the two-scale method and cause significant changes in the tribological performance.

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“…Mass conservation in the angular direction can then be applied to keep the balance of mass flux at the macro-scale boundaries (19),…”

Section: Macro-scale Lubricationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Two-scale homogenization of hydrodynamic lubrication in a mechanical seal with isotropic roughness based on the Elrod cavitation algorithm

Han

Meng

Boer

2021

Proceedings of the Institution of Mechanical Engineers, Part J:

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show abstract

“…In the past, the homogenized Reynold's equation was used to study surface roughness and texture effects in conformal contacts (Bayada et al, 2005;Sahlin et al, 2010;Rom et al, 2021). Recently, the method has been employed in non-conformal contacts to study micro-EHL, and for the predicting the coefficient of friction in the ML regime (Hugo et al, 2019;Hansen et al, 2020;Hansen et al, 2023). A well-known challenge with the homogenization method is the fact that real engineered rough surfaces typically are not truly periodic, hence the employment of periodic boundary conditions is challenging, and an alternative approach is needed (Almqvist and Dasht, 2006).…”

Section: Introductionmentioning

confidence: 99%

An assessment of the effect of surface topography on coefficient of friction for lubricated non-conformal contacts

Prajapati,

Hansen,

Björling

2024

Front. Mech. Eng.

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Determining an accurate state of lubrication is of utmost importance for the precise functionality of machine elements and to achieve elongated life and durability. In this work, a homogenized mixed-lubrication model is developed to study the effect of surface topographies on the coefficient of friction. Various measured real surface topographies are integrated in the model using the roughness homogenization method. The shear-thinning behavior of the lubricant is incorporated by employing the Eyring constitutive relation. Several Stribeck curves are generated to analyze the effect of roughness lays and root mean square (RMS) roughness on the coefficient of friction. The homogenized mixed lubrication model is validated against experimental rolling/sliding ball-on-disc results, and a good agreement between simulated and experimental coefficient of friction is found.

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“…The significant difference was observed when the surface texture was dominated by the cross mode. In order to reduce the error of homogenisation method generated during the scale transformation, Checo et al [17] considered the change of lubricant density and pressure in local scale when treating the EHL lubrication problem. Despite the advantages in simplification, the stochastic method cannot well describe the instantaneous film thickness fluctuation as well as the local pressure drop, thus it is unsuitable to treat such tribo-dynamic coupled analysis.…”

Section: Introductionmentioning

confidence: 99%

Fluid-asperity interaction induced random vibration of hydrodynamic journal bearings towards early fault diagnosis of abrasive wear

Zhang

et al. 2021

Tribology International

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A homogenized micro-elastohydrodynamic lubrication model: Accounting for non-negligible microscopic quantities

Cited by 5 publications

References 26 publications

Two-scale homogenization of hydrodynamic lubrication in a mechanical seal with isotropic roughness based on the Elrod cavitation algorithm

Two-scale homogenization of hydrodynamic lubrication in a mechanical seal with isotropic roughness based on the Elrod cavitation algorithm

An assessment of the effect of surface topography on coefficient of friction for lubricated non-conformal contacts

Fluid-asperity interaction induced random vibration of hydrodynamic journal bearings towards early fault diagnosis of abrasive wear

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