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Research Papers: Elastohydrodynamic Lubrication

Influence of Two-Sided Surface Waviness on the EHL Behavior of Rolling/Sliding Point Contacts Under Thermal and Non-Newtonian Conditions

[+] Author and Article Information
Peiran Yang, Jinlei Cui

School of Mechanical Engineering, Qingdao Technological University, Qingdao 266033, P.R.C

Z. M. Jin, D. Dowson

School of Mechanical Engineering, University of Leeds, Leeds LS2 9JT, UK

J. Tribol 130(4), 041502 (Aug 01, 2008) (12 pages) doi:10.1115/1.2958078 History: Received April 20, 2007; Revised April 22, 2008; Published August 01, 2008

The influence of the transversely and/or longitudinally oriented surface waviness on the lubricating behavior in the rolling/sliding elliptic contact composed of two steel bodies and lubricated with a non-Newtonian lubricant was investigated theoretically with full numerical solution of the thermal elastohydrodynamic lubrication. The entrainment velocity was assumed to be along the minor axis of the Hertzian contact ellipse. The waviness of each surface was given by a sinusoidal function. The non-Newtonian flow of the lubricant was described by the Eyring model with a constant Eyring shear stress at the ambient pressure and temperature. The velocity of the faster surface was assumed to be four times as that of the slower surface in order not only to highlight the thermal and non-Newtonian effects, but also to ensure a cyclic solution when both surfaces were with transversely oriented waviness. Starting from a quasisteady solution, the cyclic time-dependent solution was achieved numerically time step by time step. The results show that the thermal and non-Newtonian effects can be enlarged significantly by the surface waviness, and the worst configuration of the surface topography is that both surfaces are with longitudinal waviness.

Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 1

Global flow chart for a transient cyclic solution

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Figure 2

Pressure and film thickness profiles predicted by smooth surface solutions on the planes of y=0 (left) and x=0 (right) under isothermal Newtonian, thermal Newtonian, and thermal Eyring conditions

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Figure 3

Three-dimensional distributions predicted by the thermal Eyring quasi-steady-state solution at t=0 for the first and second waviness configurations. L=0.4a and A=0.25μm.

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Figure 4

Variations in pcen, hcen, and hmin versus time recorded in the numerical processes for the isothermal Newtonian (with thin lines) and thermal Newtonian (with thick lines) transient solutions. Surface 1 has transverse waviness while surface 2 has longitudinal waviness. L=0.4a and A=0.25μm.

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Figure 5

Periodic variations in hcen, hmin, Tcen, and μ predicted by the thermal Newtonian (with thin lines) and thermal Eyring (with thick lines) solutions. Surface 1 has transverse waviness while surface 2 has longitudinal waviness. L=0.4a and A=0.25μm.

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Figure 6

Distributions of the instantaneous pressures at t=0.25tp, 0.5tp, 0.75tp, and 0 or tp predicted by the thermal Newtonian (with thin lines) and thermal Eyring (with thick lines) solutions, as shown in Fig. 5 (cases 2 and 3 in Table 2). Surface 1 has transverse waviness while surface 2 has longitudinal waviness. L=0.4a and A=0.25μm.

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Figure 7

Distributions of the instantaneous film thicknesses corresponding to the pressures presented in Fig. 6. The thermal Newtonian results are plotted with thin lines, and thermal Eyring results with thick lines.

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Figure 8

Variations in pcen, hcen, hmin, and μ versus the cycle number for the transient thermal non-Newtonian solution of the configuration where surface 1 has longitudinal waviness while surface 2 has transverse waviness. L=0.4a and A=0.25μm.

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Figure 9

Instantaneous pressures and film thicknesses at t=0 or tp predicted by the transient thermal non-Newtonian solutions for different waviness configurations. Thick lines: surface 1 has longitudinal waviness while surface 2 has transverse waviness; thin lines: surface 1 has transverse waviness while surface 2 has longitudinal waviness. L=0.4a and A=0.25μm.

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Figure 10

Variations in pcen, hcen, hmin, and μ versus the cycle number for the transient thermal non-Newtonian solution of the configuration where both surfaces have transverse waviness. L=0.4a and A=0.15μm.

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Figure 11

Contour maps of p, h, and Tm at instant t=0.5tp and the corresponding profiles along the x-axis, predicted by the transient thermal non-Newtonian solution for the same case as in Fig. 1

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Figure 12

For the same solution shown in Figs.  1011, the profiles of p and h on the plane of y=0 at instant t=0 or tp

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Figure 13

Contour maps of p, h, and Tm and the corresponding profiles along the x-axis predicted by the steady-state thermal non-Newtonian solution for the configuration where both surfaces are with top-to-top longitudinal waviness. L=0.4a and A=0.25μm.

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Figure 14

Periodic variations in hcen, hmin, Tcen, and μ predicted by the thermal Eyring solutions for L=0.4a, 0.8a, and 1.6a. Surface 1 has longitudinal waviness while surface 2 has transverse waviness. A=0.25μm.

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Figure 15

Distributions of the instantaneous pressures and film thicknesses at t=0 or tp along the x and y axes for the three cases shown in Fig. 1

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Figure 16

Periodic variations in hcen, hmin, Tcen, and μ predicted by the thermal Eyring solutions for A=0.25μm, 0.20μm, 0.15μm, and 0.10μm, respectively. Surface 1 has longitudinal waviness while surface 2 has transverse waviness. L=0.4a.

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Figure 17

Distributions of the instantaneous pressures and film thicknesses at instant t=0 or tp along the x and y axes for the four cases shown in Fig. 1

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Figure 18

Periodic variations in pcen, hcen, hmin, Tcen, and μ predicted by the thermal Eyring solutions obtained with 257×129 nodes but with different time steps. Surface 1 has longitudinal waviness while surface 2 has transverse waviness. L=0.4a and A=0.25μm.

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