With the recent appearance of quantitative numerical simulations of the elastohydrodynamic lubrication of concentrated contacts, accurate models that can reproduce the behaviour that has been observed in viscometers for more than 50 years are now needed. This article summarizes the most recent work regarding modelling the temperature and pressure dependence of density, the temperature, pressure, and shear dependence of viscosity, and the pressure and shear dependence of the stress at localization. Thermal conductivity is addressed as well.
LiuY.WangQ. J.WangW.HuY.ZhuD.KrupkaI.HartlM.‘EHL simulation using the free-volume viscosity model’Tribol. Lett.231 (2006): 27–37
2.
LiuY.WangJ. Q.BairS.VergneP.‘A quantitative solution for the full shear-thinning EHL point contact problem including traction’Tribol. Lett.282 (2007): 171–181
3.
ChapkovA. D.BairS.CannP.LubrechtA. A.‘Film thickness in point contacts under generalized Newtonian EHL conditions: Numerical and experimental analysis’Tribol. Int.40 (2007): 1474–1478
4.
LiuY.WangQKrupkaI.HartlM.BairS.‘The shear-thinning elastohydrodynamic film thickness of a two-component mixture’ASME, J. Tribol.1302 (2008): 1-7 021502
5.
HabchiW.EyheramendyD.VergneP.BairS.Morales-EspejelG.‘Thermal elastohydrodynamic lubrication of point contacts using a Newtonian/generalized Newtonian lubricant’Tribol. Lett.301 (2008): 41–52
6.
BairS.LiuY.WangQ. J.‘The pressure-viscosity coefficient for Newtonian EHL film thickness with general piezoviscous response’ASME, J. Tribol.1233 (2006): 624–631
7.
JangJ. Y.KhonsariM. M.BairS.‘Correction factor formula to predict the central and minimum film thickness for shear-thinning fluids in EHL’ASME, J. Tribol.130 (2008): 1-4 024501
8.
KudishI. I.KumarP.KhonsariM.BairS.‘Scale effects in generalized Newtonian elastohydrodynamic films’ASME J. Tribol.130 (2008): 1-8 041504
KleinschmidtR. V.BradburyD.MarkM.Viscosity and density of over forty lubricating fluids of known composition at pressures to 150,000 psi and temperatures to 425 F (New York: ASME1953)
11.
HirschfelderJ. O.CurtissC. F.BirdR. B.Molecular theory of gases and liquids (New York: Wiley1954): 261-
12.
MillatJ.DymondJ. H.de CastroC. A. N.Transport properties of fluids their correlation, prediction and estimation (Cambridge: IUPAC1996): 172-
13.
BridgmanP. W.‘Further rough compressions to 40,000 kg/cm2, especially certain liquids’Proc. Am. Acad. Arts Sci.774 (1949): 129–146
14.
BairS.CasaliniR.‘A scaling parameter and function for the accurate correlation of viscosity with temperature and pressure across eight orders-of-magnitude of viscosity’ASME J. Tribol.130 (2008): 1-7 041802
15.
MurnaghanF. D.‘The compressibility of media under extreme pressures’Proc. Natl Acad. Sci.30 (1944): 244–247
CookR. L.HerbstC. A.KingH. E.‘High-pressure viscosity of glass forming liquids measured by the centrifugal force diamond anvil cell viscometer’J. Phys. Chem9710 (1993): 2355–2361
18.
BairS.RolandC. M.CasaliniR.‘Fragility and the dynamic crossover in lubricants’Proc. IMechE, Part J: J. Engineering Tribology 221 J7 (2007): 801-811 DOI: 10.1243/13506501JET278
19.
HogenboomD. L.WebbW.DixonJ. A.‘Viscosity of several liquid hydrocarbons as a function of temperature, pressure and free volume’J. Chem. Phys.467 (1967): 2586–2598
20.
RoelandsC. J. A.Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils (Delft: University of Technology1966): 107-108 PhD Thesis
21.
LowitzD. A.SpenserJ. W.WebbW.SchiesslerR. W.‘Temperature-pressure-structure effects on the viscosity of several higher hydrocarbons’J. Chem. Phys.301 (1959): 73–83
22.
RolandC. M.BairS.CasaliniR.‘Thermodynamic scaling of the viscosity of van der Waals, H-bonded, and ionic liquids’J. Chem. Phys.125 (2006): 1–8
StickelF.FischerE. W.RichertR.‘Dynamics of glass-forming liquids. II. Detailed comparison of dielectric relaxation, DC-conductivity, and viscosity data’J. Chem. Phys.1045 (1996): 2043–2055
25.
AngellC. A.‘Relaxation in liquids, polymers and plastic crystals-strong/fragile patterns and problems’J. Non-Cryst. Solids 131-133 (1991): 13–31
26.
JohariG. P.WhalleyE.‘Dielectric properties of glycerol in the range 0.1-105 Hz, 218-357 K, 0-53 kb’Faraday Symp. of Chem. Soc.6 (1972): 23–41
27.
EyringH.‘Viscosity, plasticity and diffusion as examples of absolute reaction rates’J. Chem. Phys.44 (1936): 283–291
28.
ReeF. H.ReeT.EyringH.‘Relaxation theory of transport problems in condensed systems’Ind. Eng. Chem.50 (1958): 1036–1038
29.
HerseyM. D.ZimmerJ. C.‘Heat effects in capillary flow at high rates of shear’J. Appl. Phys.8 (1937): 359–363
30.
GerrardJ. E.SteidlerF. E.AppeldoornJ. K.‘Viscous heating in capillaries: The adiabatic case’I&EC Fundam.43 (1965): 332–339
31.
KottkeP. A.BairS.WinerW. O.‘Cavitation in creeping shear flows’AIChE J.518 (2005): 2150–2170
32.
BirdR. B.ArmstrongR. C.HassagerO.Dynamics of polymeric liquids, volume 1: fluid mechanics (New York: Wiley1987): 170–171
33.
BairS.WinerW. O.‘A quantitative test of the Einstein-Debye relation for low molecular weight liquids using the shear dependence of viscosity’Tribol. Lett.263 (2007): 223–228
34.
BairS.VergneP.QuerryM.‘A unified shear-thinning treatment of both film thickness and traction in EHD’Tribol. Lett.182 (2005): 145–152
35.
KimW. K.HiraiN.ReeT.EyringH.‘Theory of non-Newtonian flow III a method for analyzing non-Newtonian flow curves’J. Chem. Phys.312 (1960): 358–361
36.
BairS.‘Reference liquids for quantitative elastohydrodynamics: Selection and rheological characterization’Tribol. Lett.222 (2006): 197–206
37.
BairS.‘The high-pressure rheology of mixtures’ASME J. Tribol.1264 (2004): 697–702
38.
BairS.LockwoodF. E.AndersonW. B.ZhangZ.DotsonD.‘Measurements of elasticity in multigrade motor oil at elevated pressure’STLE Tribol. Trans.503 (2007): 407–414
39.
BairS.McCabeC.‘A study of mechanical shear bands in liquids at high pressure’Tribol. Int.37 (2004): 783–789
40.
YagiK.VergneP.‘Abnormal film shapes in sliding elastohydrodynamic contacts lubricated by fatty alcohols’Proc. IMechE, Part J: J. Engineering Tribology 221 J3 (2007): 287-300 DOI: 10.1243/13506501JET253
41.
BairS.KotzalasM.‘The contribution of roller compliance to elastohydrodynamic traction’STLE Tribol. Trans.492 (2006): 218–224
BairS.WinerW. O.‘Shear strength measurements of lubricants at high pressure’ASME J. Lubr. Technol.1013 (1979): 251–257
44.
EvansC. R.JohnsonK. L.‘The rheological properties of elastohydrodynamic lubricants’Proc. IMechE, Part C: J. Mechanical Engineering Science 200 C5 (1986): 303-312 DOI: 10.1243/PIME_PROC_PROC_1986_200_134_02
45.
BairS.QureshiF.WinerW. O.‘Observations of shear localization in liquid lubricants under pressure’Trans. ASME J. Tribol.115 (1993): 507–514
46.
BowdenP. B.EdHaward‘The yield behavior of glassy polymers’The physics of glassy polymers (New York: Halstead Press1973): 279–339
47.
JacobsonB. O.Rheology and elastohydrodynamic lubrication (Amsterdam: Elsevier1991): 136–144
48.
KumarP.KhonsariM. ‘Traction in EHL line contacts using free volume pressure-viscosity relationship with thermal and shear-thinning effects’ (2008): ASME paper TRIB-08-1103
49.
BridgmanP. W.The physics of high pressure (New York: Dover1970): 315-
50.
LarssonR.AnderssonO.‘Lubricant thermal conductivity and heat capacity under high pressure’Proc. IMechE, Part J: J. Engineering Tribology214 (2000): 337-342 DOI: 10.1243/1350650001543223
51.
BairS.MichaelP. ‘Modeling the pressure and temperature dependence of viscosity and volume for hydraulic fluids’ (: 2008) ASME paper IJTC2008-71028
