Elastohydrodynamic Lubrication

A Two-Phase Flow Approach for the Outlet of Lubricated Line Contacts

[+] Author and Article Information
V. Bruyere, N. Fillot, P. Vergne

 Université de Lyon, CNRS INSA-Lyon, LaMCoS UMR5259, F-69621, Villeurbanne, France

G. E. Morales-Espejel

 SKF Engineering and Research Centre, 3430 DT, Nieuwegein, The Netherlands;  Université de Lyon, CNRS INSA-Lyon, LaMCoS UMR5259, F-69621, Villeurbanne, France

J. Tribol 134(4), 041503 (Sep 10, 2012) (10 pages) doi:10.1115/1.4006277 History: Received October 24, 2011; Revised February 27, 2012; Published September 07, 2012; Online September 10, 2012

In the classical Reynolds equation-based modeling of lubrication, the exit area is only considered through a pressure boundary condition which fails to predict the remaining amount of lubricant on each moving surface after the film rupture. A two-phase flow model using the Navier-Stokes equations and a diffuse interface approach is developed to analyze the lubricant behavior at the exit of rolling and sliding lubricated line contacts. After physical and numerical descriptions of the two-phase flow model, results are compared with experimental data from the literature. Good agreements are found concerning pressure profiles and meniscus exit abscissas. The model is then used to study in detail the flow behavior at the exit for different surface tensions. It is shown that when surface tension effects are important, recirculation areas occur downstream the air/oil meniscus. Sliding effects on fluid distribution are then investigated. Finally, an analytical approach is proposed, as a synthesis of the numerical results.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 2

(a) Interface position (φ=0) with solid lines and interface thickness with perpendicular arrows for different values of Ch, (b) interface position (φ=0) for different Pe numbers

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Figure 3

Pressure comparisons between the present numerical approach (line) and experimental results from (a) Floberg [21] and (b) Dalmaz [19]

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Figure 4

Exit meniscus abscissas as a function of Ca, obtained numerically (dot) and compared with experimental results (cross) from Ref. [19] for two cases (pure rolling SRR=0 (a) and pure sliding SRR=2 (b))

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Figure 5

δ1hs evolution with Ca for Coyne-Elrod results [6] and the present two-phase flow model

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Figure 6

Phase distribution (air in blue and lubricant in red), white liquid flow streamlines show recirculation apparition and evolution by decreasing the capillary number from 7 to 0.02 for SRR=2, red circles show particular stagnation points

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Figure 7

Liquid flow streamlines colored by nondimensional vertical velocity (vu1) for SRR=2 and Ca=0.1 - Arrows show velocity field in the two phases

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Figure 8

Recirculation apparition and evolution by decreasing the capillary number from 7 to 0.02 for SRR=0, red circles show particular stagnation points

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Figure 9

Liquid flow streamlines colored by vertical velocity vu1 for SRR=0 and Ca=0.225

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Figure 10

Exit meniscus and recirculation areas for SRR=[-2,-1,0.5,2] and Ca=0.2

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Figure 11

Case SRR=1 and Ca=0.2 (a) Pressure in iso-color and liquid streamlines in white at the contact outlet (b) Horizontal velocity profiles across the nondimensional thickness hhlocal at two different sections (x=0.9*xs and x=1.1*xs), in red in the liquid and in blue in the air (the interface is highlighted with the black dashed lines)

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Figure 12

Parabolic velocity profiles at h=hs for (u=dudy=0) and fluid distribution downstream the film rupture

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Figure 13

Fluid distribution Δ with SRR for Ca=4 and Ca=0.25 (analytical and numerical results)



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