Abstract
This paper investigates the traction behavior in heavily loaded thermo-elastohydrodynamic lubrication (EHL) line contacts using the Doolittle free-volume equation, which closely represents the experimental viscosity-pressure-temperature relationship and has recently gained attention in the field of EHL, along with Tait’s equation of state for compressibility. The well-established Carreau viscosity model has been used to describe the simple shear-thinning encountered in EHL. The simulation results have been used to develop an approximate equation for traction coefficient as a function of operating conditions and material properties. This equation successfully captures the decreasing trend with increasing slide to roll ratio caused by the thermal effect. The traction-slip characteristics are expected to be influenced by the limiting shear stress and pressure dependence of lubricant thermal conductivity, which need to be incorporated in the future.
Issue Section:
Elastohydrodynamic Lubrication
1.
Hirst
, W.
, and Moore
, A. J.
, 1974, “Non-Newtonian Behavior in Elastohydrodynamic Lubrication
,” Proc. R. Soc. London, Ser. A
1364-5021, 337
, pp. 101
–121
.2.
Johnson
, K. L.
, and Tevaarwerk
, J. L.
, 1977, “Shear Behaviour of EHD Oil Films
,” Proc. R. Soc. London, Ser. A
1364-5021, 356
, pp. 215
–236
.3.
Berthe
, D.
, Houpert
, L.
, and Flamand
, L.
, 1979, “Thermal Effects in EHD Contacts for Different Rheological Behaviors of the Lubricant
,” Thermal Effects in Tribology: Proceedings of the Sixth Leeds-Lyon Symposium on Tribology
, Lyon, France, D.
Dowson
, ed., Mechanical Engineering Publication Ltd.
, London
, pp. 241
–249
.4.
Johnson
, K. L.
, and Greenwood
, J. A.
, 1980, “Thermal Analysis of an Eyring Fluid in EHD Traction
,” Wear
0043-1648, 61
, pp. 353
–374
.5.
Houpert
, L. G.
, and Hamrock
, B. J.
, 1985, “Elastohydrodynamic Lubrication Calculations Used as a Tool to Study Scuffling
” Proceedings of the 12th Leeds-Lyon Symposium on Tribology, Tribology Series
, Elsevier, Amsterdam, pp. 146
–155
.6.
Conry
, T. F.
, Wang
, S.
, and Cusano
, C.
, 1987, “A Reynolds-Eyring Equation for Elastohydrodynamic Lubrication in Line Contacts
,” ASME J. Tribol.
, 107
, pp. 648
–658
. 0742-47877.
Bair
, S.
, 2004, “Actual Eyring Models for Thixotropy and Shear-Thinning: Experimental Validation and Application to EHD
,” ASME J. Tribol.
0742-4787, 126
, pp. 728
–732
.8.
Jang
, J. Y.
, Khonsari
, M. M.
, and Bair
, S.
, 2007, “On the Elastohydrodynamic Analysis of Shear-Thinning Fluids
,” Proc. R. Soc. London, Ser. A
0950-1207, 463
, pp. 3271
–3290
.9.
Bair
, S.
, and Qureshi
, F.
, 2003, “The Generalized Newtonian Fluid Model and Elastohydrodynamic Film Thickness
,” ASME J. Tribol.
0742-4787, 125
, pp. 70
–75
.10.
Mongkolwongrojn
, M.
, Wongseedakeaw
, K.
, Yawong
, S.
, Jeenkour
, P.
, and Aiumpornsin
, C.
, 2005, “Effect of Model Parameters on Elastohydrodynamic Lubrication Line Contact With Non-Newtonian Carreau Viscosity Model
,” Int. J. Appl. Mech. Eng.
1425-1655 Special Issue: ICER, 10
, pp. 255
–261
.11.
Cheng
, H. S.
, 1965, “A Refined Solution to the Thermal Elastohydrodynamic Lubrication of Rolling and Sliding Cylinders
,” ASLE Trans.
0569-8197, 8
(4
), pp. 397
–410
.12.
Eltrod
, H. G.
, and Brewe
, D. E.
, 1983, “Thermohydrodynamic Analysis for Laminar Lubricating Films
,” NASA
, Technical Report No. TM-88845.13.
Sadeghi
, F.
, and Dow
, T. A.
, 1987, “Thermal Effects in Rolling/Sliding Contacts, Part II: Analysis of Thermal Effects in Fluid Film
,” ASME J. Tribol.
, 109
, pp. 512
–518
. 0742-478714.
Hsu
, C. H.
, and Lee
, R. T.
, 1994, “An Efficient Algorithm for Thermal Elastohydrodynamic Lubrication Under Rolling/Sliding Line Contacts
,” ASME J. Tribol.
0742-4787, 116
, pp. 762
–769
.15.
Sadeghi
, F.
, and Sui
, P. C.
, 1990, “Thermal Elastohydrodynamic Lubrication of Rolling/Sliding Contacts
,” ASME J. Tribol.
0742-4787, 112
, pp. 189
–195
.16.
Sui
, P. C.
, and Sadeghi
, F.
, 1991, “Non-Newtonian Thermal Elastohydrodynamic Lubrication
,” ASME J. Tribol.
0742-4787, 113
, pp. 390
–397
.17.
Salehizadeh
, H.
, and Saka
, N.
, 1991, “Thermal Non-Newtonian Elastohydrodynamic Lubrication of Rolling Line Contacts
,” ASME J. Tribol.
0742-4787, 113
, pp. 481
–491
.18.
Wang
, S.
, Conry
, T. F.
, and Cusano
, C.
, 1992, “Thermal Non-Newtonian Elastohydrodynamic Lubrication of Line Contacts Under Simple Sliding Conditions
,” ASME J. Tribol.
0742-4787, 114
, pp. 317
–327
.19.
Khonsari
, M.
, and Hua
, D.
, 1994, “Thermal Elastohydrodynamic Analysis Using a Generalized Non-Newtonian With Application to Bair-Winer Constitutive Equation
,” ASME J. Tribol.
0742-4787, 116
, pp. 37
–46
.20.
Kumar
, P.
, Jain
, S. C.
, and Ray
, S.
, 2002, “Thermal EHL of Rough Rolling/Sliding Line Contacts Using a Mixture of Two Fluids at Dynamic Loads
,” ASME J. Tribol.
0742-4787, 124
, pp. 709
–715
.21.
Bair
, S.
, 2007, High Pressure Rheology for Quantitative Elastohydrodynamics
(Tribology and Interface Engineering Series
No. 54), Elsevier
, Amsterdam
.22.
Doolittle
, A. K.
, 1951, “Studies in Newtonian Flow II: The Dependence of the Viscosity of Liquids on Free-Space
,” J. Appl. Phys.
0021-8979, 22
(12
), pp. 1471
–1475
.23.
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
.24.
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
.25.
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
.26.
Dowson
, D.
, and Higginson
, G. R.
, 1966, Elasto-Hydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication
, Pergamon
, Oxford
.27.
Hamrock
, B. J.
, and Dowson
, D.
, 1981, Ball Bearing Lubrication: The Elastohydrodynamics of Elliptical Contacts
, Wiley
, New York
.28.
Jang
, J. Y.
, Khonsari
, M. M.
, and Bair
, S.
, 2008, “Correction Factor Formula to Predict the Central and Minimum Film Thickness for Shear-Thinning Fluids in EHL
,” ASME J. Tribol.
, 130
(024501
), pp. 1
–4
. 0742-478729.
Kumar
, P.
, and Khonsari
, M. M.
, 2008, “EHL Circular Contact Film Thickness Correction Factors for Shear Thinning Fluids
,” ASME J. Tribol.
0742-4787, 130
, p. 041506
.30.
Jacod
, B.
, Venner
, C. H.
, and Lugt
, P. M.
, 2001, “A Generalized Traction Curve for EHL Contacts
,” ASME J. Tribol.
0742-4787, 123
, pp. 248
–253
.31.
Kumar
, P.
, and Khonsari
, M. M.
, 2008, “Combined Effect of Shear Thinning and Viscous Heating on EHL Characteristics of Rolling/Sliding Line Contacts
,” ASME J. Tribol.
0742-4787, 130
, p. 041505
.32.
Johnson
, K. L.
, and Cameron
, R.
, 1967, “Shear Behaviour of Elastohydrodynamic Oil Films at High Rolling Contact Pressures
,” Proc. Inst. Mech. Eng.
0020-3483, 182
(14
), pp. 307
–319
.33.
Kannel
, J. W.
, and Dow
, T. A.
, 1980, “The Relation Between Pressure and Temperature in Rolling-Sliding EHD Contact
,” ASLE Trans.
0569-8197, 23
(3
), pp. 262
–268
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.
