Abstract

The estimation or prediction of elastohydrodynamic lubrication (EHL) film thickness requires knowledge of the lubricant properties. Today, in many instances, the lubricant properties have been obtained from a measurement of the central film thickness and the assumption of a classical Newtonian film-thickness formula. This technique has the practical advantage of using an effective pressure-viscosity coefficient, which compensates for shear-thinning. We have shown by a perturbation analysis of limiting cases for fluid with Carreau rheology (represented by Newtonian and power fluid) and by a full EHL numerical solution for Carreau fluid that the practice of extrapolating from a laboratory scale measurement of film thickness to the film thickness of an operating contact may substantially overestimate the film thickness in the real machine if the machine scale is smaller and the lubricant is shear-thinning within the inlet zone. The intention here is to show that errors result from extrapolation of Newtonian formulas to different scale and not to provide advice regarding quantitative engineering calculations.

1.
Dowson
,
D.
, and
Higginson
,
G. R.
, 1966,
Elastohydrodynamic Lubrication
,
Pergamon
,
Oxford
, p.
97
.
2.
Liu
,
Y.
,
Wang
,
Q. J.
,
Wang
,
W.
,
Hu
,
Y.
,
Zhu
,
D.
,
Krupka
,
I.
, and
Hartl
,
M.
, 2006, “
EHL Simulation Using the Free-Volume Viscosity Model
,”
Tribol. Lett.
1023-8883,
23
(
1
), pp.
27
37
.
3.
Dyson
,
A.
, and
Wilson
,
A. R.
, 1965, “
Film Thicknesses in Elastohydrodynamic Lubrication by Silicone Fluids
,”
Proc. Inst. Mech. Eng.
0020-3483,
180
(
3K
), pp.
97
112
.
4.
Archard
,
J. F.
, and
Kirk
,
M. T.
, 1964, “
Film Thickness for a Range of Lubricants Under Extreme Stress
,”
J. Mech. Eng. Sci.
0022-2542,
6
(
1
), pp.
101
105
.
5.
Bair
,
S.
,
Vergne
,
P.
, and
Marchetti
,
M.
, 2002, “
The Effect of Shear-Thinning on Film Thickness for Space Lubricants
,”
Tribol. Trans.
1040-2004,
45
(
3
), pp.
330
333
.
6.
Bair
,
S.
,
Qureshi
,
F.
, and
Kotzalas
,
M.
, 2004, “
The Low Shear Stress Rheology of a Traction Fluid and the Influence on Film Thickness
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
1350-6501,
218
, pp.
95
98
.
7.
Chapkov
,
A. D.
,
Bair
,
S.
,
Cann
,
P.
, and
Lubrecht
,
A. A.
, 2007, “
Film Thickness in Point Contacts Under Generalized Newtonian EHL Conditions: Numerical and Experimental Analysis
,”
Tribol. Int.
0301-679X,
40
, pp.
1474
1478
.
8.
Liu
,
Y.
,
Wang
,
Q. J.
,
Bair
,
S.
, and
Vergne
,
P.
, 2007, “
A Quantitative Solution for the Full Shear-Thinning EHL Point Contact Problem Including Traction
,”
Tribol. Lett.
1023-8883,
28
(
2
), pp.
171
181
.
9.
Bair
,
S.
, 2007,
High-Pressure Rheology for Quantitative Elastohydrodynamics
,
Elsevier Science
,
Amsterdam
, pp.
107
111
.
10.
Hamrock
,
B. J.
, and
Dowson
,
D.
, 1977, “
Isothermal Elastohydrodynamic Lubrication of Point Contacts. Part III-Fully Flooded Results
,”
ASME J. Lubr. Technol.
0022-2305,
99
(
2
), pp.
264
276
.
11.
Jones
,
W. R.
, 1995, “
Properties of Perfluoropolyethers for Space Applications
,” STLE,
Tribol. Trans.
1040-2004,
38
(
3
), pp.
557
564
.
12.
Ertel
,
M. A.
, 1945, “
Hydrodynamic Calculation of Lubricated Contact for Curvilinear Surfaces
,”
Proceedings of CNIITMASh
, pp.
1
64
.
13.
Grubin
,
A. N.
, 1949, “
The Basics of the Hydrodynamic Lubrication Theory for Heavily Loaded Curvilinear Surfaces
,”
Proceedings of CNIITMASh
, Book 30, pp.
126
184
.
14.
Jang
,
J. Y.
,
Khonsari
,
M. M.
, and
Bair
,
S.
, 2007, “
On the Elastohydrodynamic Analysis of Shear-Thinning Fluids
,”
Proc. R. Soc. London, Ser. A
1364-5021,
463
, pp.
3271
3290
.
15.
Dowson
,
D.
, and
Toyoda
,
S.
, 1978, “
A Central Film Thickness Formula for Elastohydrodynamic Line Contacts
,”
Elastohydrodynamics and Related Topics
,
D.
Dowson
,
C. M.
Taylor
,
M.
Godet
, and
D.
Berthe
, eds., pp.
60
67
.
16.
Hamrock
,
B. J.
, and
Dowson
,
D.
, 1981,
Ball Bearing Lubrication: The Elastohydrodynamics of Elliptical Contacts
,
Wiley-Interscience
,
New York
.
17.
Kudish
,
I. I.
, 1996, “
Asymptotic Analysis of a Problem for a Heavily Loaded Lubricated Contact of Elastic Bodies. Pre- and Over-critical Lubrication Regimes for Newtonian Fluids
,”
Dyn. Syst. Appl.
1056-2176,
5
(
3
), pp.
451
476
.
18.
Kudish
,
I. I.
, 1981, “
On Solution of Some Contact and Elastohydrodynamic Problems
,”
Proceedings of the Third International Tribology Congress EUROTRIB 81
,
Warsaw
, Vol.
2
, pp.
251
271
.
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