Effect of Contact Deformation on Flow Factors

Knoll, Gunter; Rienäcker, Adrian; Lagemann, V.; Lechtape-Grüter, R.

doi:10.1115/1.2834177

Cited by 16 publications

(8 citation statements)

References 8 publications

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“…For the non-contact region, if the inter-asperity cavitation occurs, F is assumed to be zero, and otherwise let F = 0 for the full-film region. Thus, F and G are written as F = 0, for cavitation region F = 1, for full-film region (5) G = 0, for contact region G = 1, for non-contact region (6) By using the given F and G, and according to the conservation of the flows q x1 , q x2 , q y1 , and q y2 , as shown in Fig. 1, an extended Reynolds equation, which is to be used to calculate flow factors including the combined effect of the inter-asperity cavitation and elasticity deformation of rough surfaces, in the dimensionless form, is given below…”

Section: Modified Reynolds Equationmentioning

confidence: 99%

“…According to the model, the mean pressure on the rough surface, a commonly desired quantity, can be predicted without solving for the random local pressure on the surfaces. Owing to the fact that the model proposed by Patir and Cheng (referred as PC hereafter) appears both elegant and imperfect at the same time, great efforts have been made to refine the average Reynolds equation or improve flow factors in the past years by use of the statistical models [3][4][5][6], deterministic models [7,8] or perturbation analysis methods [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of combined influences of inter-asperity cavitation and elastic deformation on flow factors

Meng

et al. 2007

Proceedings of the Institution of Mechanical Engineers, Part C:

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Combined influences of inter-asperity cavitation and elastic deformation of rough surfaces on flow factors were investigated based on an extended Reynolds equation for flow factor analyses. The numerical results reveal that when effect of cross-flow of lubricant is not obvious, the pressure flow factor increases, whereas the shear flow factor decreases, for a small ratio of film thickness to roughness, due to influences of inter-asperity cavitation and the elastic deformation of rough surfaces. When the ratio of film thickness to roughness becomes big, however, the influences become weak and can even be negligible. Moreover, the above influences are sensitive to the orientations of rough surfaces. Therefore, combined effects of inter-asperity cavitation and elastic deformation of rough surfaces should be considered in flow factor analyses.

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Section: Modified Reynolds Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of combined influences of inter-asperity cavitation and elastic deformation on flow factors

Meng

et al. 2007

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Step (6). Calculate the pressure flow and shear flow factors, respectively, using equations (11) and (12).…”

Section: Numerical Schemementioning

confidence: 99%

“…PC's flow factors appear both elegant and imperfect at the same time. Hence, immense efforts have been made to improve the flow factors and further the average flow model from many facets for nearly 30 years by using statistical models [3][4][5][6][7], deterministic models, [8,9] or perturbation analysis methods [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Study on combined influence of inter-asperity cavitation and elastic deformation of non-Gaussian surfaces on flow factors

Meng

Qin

Chen

et al. 2008

Proceedings of the Institution of Mechanical Engineers, Part C:

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The combined influence of inter-asperity cavitation and elastic deformation of non-Gaussian surfaces on flow factors is numerically investigated based on the equations for flow factor analyses, since some engineering surfaces are non-Gaussian. For this task, non-Gaussian surfaces are generated at first through a digital filter technique by using authors' computer code whose validity is proven. The numerical results show that the pressure flow factor increases whereas the shear flow factor decreases with low film thickness-to-roughness ratio (h/σ < 3 or so). This is due to the above-said combined influence, if the oblique flow of lubricant is not obvious. But for a high film thickness-to-roughness ratio (approximately h/σ 3), the combined influence becomes weaker, hence ignored. Therefore, the above-said combined effect similar to the one from Gaussian surface circumstances ought to be considered in flow factor analyses and their applications.

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“…They solved cases with Gaussian and non-Gaussian surfaces. Knoll et al [10] extended Peeken's method to include also the elastic deformation from the contacting asperities. Kim and Cho [11] developed a numerical model to calculate flow factors and they applied it to non-Gaussian surfaces, including the elastic deformation of the contacting spots.…”

Section: Introductionmentioning

confidence: 99%

Flow factors for non-Gaussian roughness in hydrodynamic lubrication: An analytical interpolation

Morales-Espejel

2009

Proceedings of the Institution of Mechanical Engineers, Part C:

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By extending the stochastic averaging techniques for lubricated rough surface contacts, as developed by Christensen and Tønder, a simple analytical transformation is derived to obtain the pressure flow factors for a non-Gaussian roughness whenever the corresponding Gaussian factors are known. The method is compared with results from numerical solutions available in the literature and it shows good agreement.

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Effect of Contact Deformation on Flow Factors

Cited by 16 publications

References 8 publications

Numerical analysis of combined influences of inter-asperity cavitation and elastic deformation on flow factors

Numerical analysis of combined influences of inter-asperity cavitation and elastic deformation on flow factors

Study on combined influence of inter-asperity cavitation and elastic deformation of non-Gaussian surfaces on flow factors

Flow factors for non-Gaussian roughness in hydrodynamic lubrication: An analytical interpolation

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