The paper describes the application of a full non-Newtonian, thermal elastohydrodynamic lubrication (EHL) model for the prediction of film thickness and viscous traction force in a special high speed rolling traction rig. The primary objective of the work was to identify a suitable lubricant rheological model that would describe the behavior of practical EHL traction drive contacts over their operating range. Experiments were carried out on a special rolling contact rig at temperatures of 60, 90, and 120°C and contact loads giving maximum Hertzian pressures of 1, 2, and 3 GPa. Entrainment speeds of up to 18 m/s were investigated. Corresponding modeling work was carried out using lubricant physical properties obtained for Santotrac 50, the traction fluid used in the experiments. Viscosity data for this lubricant were available from the work of Bair and Winer, but a degree of extrapolation was required to this data to cover the range of the experiments. In view of the crucial importance of viscosity/pressure behavior in the prediction of traction attention was therefore focused upon the lower contact loads for which reliable viscosity/pressure data are available. A best-fit exercise was then carried out to establish an appropriate rheological model to account for shear thinning of the lubricant. Different non-Newtonian relationships were investigated including those of Johnson and Tevaarwerk, Bair and Winer, and a model which combined the features of both of these. The most encouraging agreement between experiment and theory over the range of temperatures and speeds considered was obtained with the Johnson and Tevaarwerk (Eyring) model.

1.
Heumann, H., Briffet, G., Burke, M., Field, M., Fuller, J., Lee, A. P., and Newall, J. P., 2002, “System Efficiency Optimization of the Torotrak Infinitely Variable Transmission (IVT),”CVT 2002 Congress, VDI, Munich, October 2002.
2.
Dyson
,
A.
,
1970
, “
Frictional Traction and Lubricant Rheology in Elastohydrodynamic lubrication
,”
Philos. Trans. R. Soc. London
,
A266
, pp.
1
33
.
3.
Hirst
,
W.
, and
Moore
,
A. J.
,
1974
, “
Non-Newtonian Behavior in Elastohydrodynamic Lubrication
,”
Proc. R. Soc. London, Ser. A
,
337
, pp.
101
121
.
4.
Johnson
,
K. L.
, and
Tevaarwerk
,
J. L.
,
1977
, “
The Shear Behavior of Elastohydrodynamic Oil Films
,”
Proc. R. Soc. London, Ser. A
,
356
, pp.
215
236
.
5.
Conry
,
T. F.
,
Wang
,
S.
, and
Cusano
,
C.
,
1987
, “
A Reynolds-Eyring Equation for Elastohydro-Dynamic Lubrication in Line Contacts
,”
ASME J. Tribol.
,
109
, pp.
648
654
.
6.
Kim
,
K. H.
, and
Sadeghi
,
F.
,
1991
, “
Non-Newtonian Elastohydro-Dynamic Lubrication of Point Contact
,”
ASME J. Tribol.
,
113
, pp.
703
711
.
7.
Sharif
,
K. J.
,
Kong
,
S.
,
Evans
,
H. P.
, and
Snidle
,
R. W.
,
2001
, “
Contact and Elastohydrodynamic Analysis of Worm Gears: Part 1 Theoretical Formulation
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
215
, pp.
817
830
.
8.
Bair
,
S.
, and
Winer
,
W. O.
,
1979
, “
A Rheological Model for Elastohydrodynamic Contacts Based on Primary Laboratory Data
,”
ASME J. Lubr. Technol.
,
101
, pp.
258
265
.
9.
Bair, S., and Winer, W. O., 2000, “The Pressure-Viscosity Coefficient at Hertz Pressure and Its Relation to Concentrated Contact Traction,” Proc. 26th Leeds-Lyon Symp. on Tribology, Elsevier, Amsterdam pp. 433–443.
10.
Newall, J. P., Nicolson, D. M., Lee, A. P., and Evans, S. P., 2002, “Development and Assessment of Traction Fluids for Use in Toroidal (IVT) Transmissions,” SAE 2002 World Congress, Transmissions and Drive-lines Symposium, March 2002.
11.
Plint
,
M. A.
,
1967
, “
Traction in Elastohydrodynamic Contacts
,”
Proc. I. Mech. E.
,
182, n14
, pp.
300
306
.
12.
Holmes
,
M. J. A.
,
Evans
,
H. P.
,
Hughes
,
T. G.
, and
Snidle
,
R. W.
,
2003
, “
Transient Elastohydrodynamic Point Contact Analysis Using a New Coupled Differential Deflection Method: Part 1 Theory and Validation
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
217
, pp.
289
303
.
13.
Evans
,
H. P.
, and
Hughes
,
T. G.
,
2000
, “
Evaluation of Deflection in Semi-Infinite Bodies by a Differential Method
,”
Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
,
214
, pp.
563
584
.
14.
Larsson
,
R.
,
Larsson
,
P. O.
,
Eriksson
,
E.
,
Sjo¨berg
,
M.
, and
Ho¨glund
,
E.
,
2001
,“
Lubricant Properties for Input to Hydrodynamic and Elastohydro-Dynamic Lubrication Analyses
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
201
, pp.
17
28
.
15.
Yasutomi
,
S.
,
Bair
,
S.
, and
Winer
,
W.
,
1984
, “
An Application of a Free Volume Model to Lubricant Rheology
,”
ASME J. Tribol.
,
106
, pp.
291
303
.
16.
Evans
,
C. R.
, and
Johnson
,
K. L.
,
1986
, “
The Rheological Properties of Elastohydrodynamic Lubricants
,”
Proc. Inst. Mech. Eng., Part C: Mech. Eng. Sci.
,
200
, pp.
303
312
.
17.
Johnson, K. L., 1993, “Non-Newtonian Effects in Elastohydro-Dynamic Lubrication,” Thin Films in Tribology, Proc. 19th Leeds-Lyon Symposium, Elsevier, Amsterdam, pp. 25–26.
18.
Fang
,
N.
,
Chang
,
L.
,
Johnson
,
G. J.
,
Webster
,
M. N.
, and
Jackson
,
A.
,
2001
, “
An Experimental/Theoretical Approach to Modelling the Viscous Behavior of Liquid Lubricants in Elastohydrodynamic Lubrication Contacts
,”
Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol.
,
215
, pp.
311
319
.
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