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Erschienen in: Tribology Letters 1/2014

01.10.2014 | Review Paper

History, Origins and Prediction of Elastohydrodynamic Friction

verfasst von: Hugh Spikes, Zhang Jie

Erschienen in: Tribology Letters | Ausgabe 1/2014

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Abstract

There is currently considerable debate concerning the most appropriate rheological model to describe the behaviour of lubricant films in rolling–sliding, elastohydrodynamic contacts. This is an important issue since an accurate model is required to predict friction in such contacts. This paper reviews the origins of this debate, which primarily concerns a divergence of views between researchers using high pressure, high shear rate viscometry and those concerned with the measurement and analysis of elastohydrodynamic friction; the former advocate a Carreau-based shear stress/strain rate model while the latter generally favour an Eyring-based one. The crucial importance of accounting for shear heating effects in analysing both viscometric and friction data is discussed. The main criticisms levied by advocates of a Carreau-based model against Eyring’s model are discussed in some detail. Finally, the ability of both types of rheological model to fit elastohydrodynamic friction measurements for a quite simple, well-defined base fluid is tested, using previously measured pressure–viscosity behaviour for the fluid. Both models appear to fit the experimental data over a wide temperature range quite well, though fit of the Eyring model appears slightly closer than that of the Carreau–Yasuda model. Friction data from a wider range of well-defined fluid types are needed to identify categorically the most appropriate model to describe elastohydrodynamic friction.

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Literatur
1.
Zurück zum Zitat Gohar, R.: Elastohydrodynamics, 2nd edn. Imperial College Press, London (2002) Gohar, R.: Elastohydrodynamics, 2nd edn. Imperial College Press, London (2002)
2.
Zurück zum Zitat Spikes, H.A.: Sixty years of EHL. Lubr. Sci. 18, 265–291 (2006) Spikes, H.A.: Sixty years of EHL. Lubr. Sci. 18, 265–291 (2006)
3.
Zurück zum Zitat Bair, S., Liu, Y., Wang, Q.J.: The pressure-viscosity coefficient for Newtonian EHL film thickness with general piezoviscous response. Trans. ASME J. Tribol. 128, 624–631 (2006) Bair, S., Liu, Y., Wang, Q.J.: The pressure-viscosity coefficient for Newtonian EHL film thickness with general piezoviscous response. Trans. ASME J. Tribol. 128, 624–631 (2006)
4.
Zurück zum Zitat Foord, C.A., Hamman, W.C., Cameron, A.: Evaluation of lubricants using optical elastohydrodynamics. ASLE Trans. 11, 31–43 (1968) Foord, C.A., Hamman, W.C., Cameron, A.: Evaluation of lubricants using optical elastohydrodynamics. ASLE Trans. 11, 31–43 (1968)
5.
Zurück zum Zitat Van Leeuwen, H.: The determination of the pressure—viscosity coefficient of a lubricant through an accurate film thickness formula and accurate film thickness measurements. Proc. Inst. Mech. Eng. J. 223, 1143–1163 (2009) Van Leeuwen, H.: The determination of the pressure—viscosity coefficient of a lubricant through an accurate film thickness formula and accurate film thickness measurements. Proc. Inst. Mech. Eng. J. 223, 1143–1163 (2009)
6.
Zurück zum Zitat Hamrock, B.J., Dowson, D.: Ball Bearing Lubrication. The Elastohydrodynamics of Elliptical Contacts. Wiley, New York (1981) Hamrock, B.J., Dowson, D.: Ball Bearing Lubrication. The Elastohydrodynamics of Elliptical Contacts. Wiley, New York (1981)
7.
Zurück zum Zitat Habchi, W., Bair, S., Qureshi, F., Covitch, M.: A film thickness correction formula for double-Newtonian shear-thinning in rolling EHL circular contacts. Tribol. Lett. 50, 59–66 (2013) Habchi, W., Bair, S., Qureshi, F., Covitch, M.: A film thickness correction formula for double-Newtonian shear-thinning in rolling EHL circular contacts. Tribol. Lett. 50, 59–66 (2013)
8.
Zurück zum Zitat Bair, S.: Shear thinning correction for rolling/sliding elastohydrodynamic film thickness. Proc. Inst. Mech. Eng. J219, 69–74 (2005) Bair, S.: Shear thinning correction for rolling/sliding elastohydrodynamic film thickness. Proc. Inst. Mech. Eng. J219, 69–74 (2005)
9.
Zurück zum Zitat Grubin, A.N.: Fundamentals of the hydrodynamic theory of lubrication of heavily loaded cylindrical surfaces. In: Ketova, Kh.F. (ed) Proceedings of Symposium, Investigation of the Contact of Machine Components. Central Scientific Research Institute for Technology and Mechanical Engineering, Book No. 30, pp. 115–166, Moscow, 1949, D.S.I.R Trans. No. 337 Grubin, A.N.: Fundamentals of the hydrodynamic theory of lubrication of heavily loaded cylindrical surfaces. In: Ketova, Kh.F. (ed) Proceedings of Symposium, Investigation of the Contact of Machine Components. Central Scientific Research Institute for Technology and Mechanical Engineering, Book No. 30, pp. 115–166, Moscow, 1949, D.S.I.R Trans. No. 337
10.
Zurück zum Zitat Lewicki, W.: Some physical aspects of lubrication in rolling bearings and gears. Engineer 200, 176–178 (1955) Lewicki, W.: Some physical aspects of lubrication in rolling bearings and gears. Engineer 200, 176–178 (1955)
11.
Zurück zum Zitat Crook, A.W.: The lubrication of rollers. Phil. Trans. R. Soc. Lond. A250, 387–409 (1958) Crook, A.W.: The lubrication of rollers. Phil. Trans. R. Soc. Lond. A250, 387–409 (1958)
12.
Zurück zum Zitat MacConochie, I.O., Cameron, A.: The measurement of oil film thickness in gear teeth. Trans. ASME J. Basic Eng. 82, 29–34 (1960) MacConochie, I.O., Cameron, A.: The measurement of oil film thickness in gear teeth. Trans. ASME J. Basic Eng. 82, 29–34 (1960)
13.
Zurück zum Zitat Crook, A.W.: The lubrication of rollers, III—a theoretical discussion of friction and temperatures in the oil film. Phil. Trans. R. Soc. A254, 237–258 (1961) Crook, A.W.: The lubrication of rollers, III—a theoretical discussion of friction and temperatures in the oil film. Phil. Trans. R. Soc. A254, 237–258 (1961)
14.
Zurück zum Zitat Smith, F.W.: The effect of temperature in concentrated contact lubrication. ASLE Trans. 5, 142–148 (1962) Smith, F.W.: The effect of temperature in concentrated contact lubrication. ASLE Trans. 5, 142–148 (1962)
15.
Zurück zum Zitat Crook, A.W.: The lubrication of rollers, IV—measurements of friction and effective viscosity. Phil. Trans. R. Soc. A255, 281–312 (1963) Crook, A.W.: The lubrication of rollers, IV—measurements of friction and effective viscosity. Phil. Trans. R. Soc. A255, 281–312 (1963)
16.
Zurück zum Zitat Harrison, G., Trachman, E.G.: The role of compressional viscoelasticity in the lubrication of rolling contacts. Trans. ASME J. Lubr. Technol. 94, 306–312 (1972) Harrison, G., Trachman, E.G.: The role of compressional viscoelasticity in the lubrication of rolling contacts. Trans. ASME J. Lubr. Technol. 94, 306–312 (1972)
17.
Zurück zum Zitat Bell, J.C., Kannel, J.W., Allen, C.M.: The rheological behaviour of the lubricant in the contact zone of a rolling contact system. Trans. ASME J. Basic Eng. 86, 423–434 (1964) Bell, J.C., Kannel, J.W., Allen, C.M.: The rheological behaviour of the lubricant in the contact zone of a rolling contact system. Trans. ASME J. Basic Eng. 86, 423–434 (1964)
18.
Zurück zum Zitat Jefferis, J.A., Johnson, K.L.: First paper: sliding friction between lubricated rollers. Proc. Inst. Mech. Eng. 182, 281–291 (1967) Jefferis, J.A., Johnson, K.L.: First paper: sliding friction between lubricated rollers. Proc. Inst. Mech. Eng. 182, 281–291 (1967)
19.
Zurück zum Zitat Johnson, K.L., Cameron, R.: Fourth paper: shear behaviour of elastohydrodynamic oil films at high rolling contact pressures. Proc. Inst. Mech. Eng. 182, 307–330 (1967) Johnson, K.L., Cameron, R.: Fourth paper: shear behaviour of elastohydrodynamic oil films at high rolling contact pressures. Proc. Inst. Mech. Eng. 182, 307–330 (1967)
20.
Zurück zum Zitat Johnson, K.L., Roberts, A.D.: Observations of viscoelastic behaviour of an elastohydrodynamic lubricant film. Proc. R. Soc. Lond. A337, 217–242 (1974) Johnson, K.L., Roberts, A.D.: Observations of viscoelastic behaviour of an elastohydrodynamic lubricant film. Proc. R. Soc. Lond. A337, 217–242 (1974)
21.
Zurück zum Zitat Tevaarwerk, J., Johnson, K.L.: A simple non-linear constitutive equation for elastohydrodynamic oil films. Wear 35, 345–356 (1975) Tevaarwerk, J., Johnson, K.L.: A simple non-linear constitutive equation for elastohydrodynamic oil films. Wear 35, 345–356 (1975)
22.
Zurück zum Zitat Johnson, K.L., Tevaarwerk, J.L.: Shear behaviour of elastohydrodynamic films. Proc. R. Soc. Lond. A356, 215–238 (1977) Johnson, K.L., Tevaarwerk, J.L.: Shear behaviour of elastohydrodynamic films. Proc. R. Soc. Lond. A356, 215–238 (1977)
23.
Zurück zum Zitat Johnson, K.L.: Introductory review of lubricant rheology and traction. In: Proceedings of 5th Leeds-Lyon Symposium on Tribology, Elastohydrodynamic Lubrication and Related Topics, pp. 155–161. MEP, London (1978) Johnson, K.L.: Introductory review of lubricant rheology and traction. In: Proceedings of 5th Leeds-Lyon Symposium on Tribology, Elastohydrodynamic Lubrication and Related Topics, pp. 155–161. MEP, London (1978)
24.
Zurück zum Zitat Johnson, K.L., Nayak, L., Moore, A.: Determination of elastic shear modulus of lubricants from disc machine traction tests. In: Proceedings of 5th Leeds-Lyon Symposium on Tribology, Elastohydrodynamic Lubrication and Related Topics, pp. 204–208. MEP, London (1978) Johnson, K.L., Nayak, L., Moore, A.: Determination of elastic shear modulus of lubricants from disc machine traction tests. In: Proceedings of 5th Leeds-Lyon Symposium on Tribology, Elastohydrodynamic Lubrication and Related Topics, pp. 204–208. MEP, London (1978)
25.
Zurück zum Zitat Conroy, T.F., Johnson, K.L., Owen, S.: Viscosity in the thermal region of EHD traction. In: Proc 6th Leeds-Lyon Symposium on Tribology, Thermal Effects in Tribology, pp. 219–227. MEP, London (1980) Conroy, T.F., Johnson, K.L., Owen, S.: Viscosity in the thermal region of EHD traction. In: Proc 6th Leeds-Lyon Symposium on Tribology, Thermal Effects in Tribology, pp. 219–227. MEP, London (1980)
26.
Zurück zum Zitat Adams, D.R., Hirst, W.: Frictional traction in elastohydrodynamic lubrication. Proc. R. Soc. A332, 505–525 (1973) Adams, D.R., Hirst, W.: Frictional traction in elastohydrodynamic lubrication. Proc. R. Soc. A332, 505–525 (1973)
27.
Zurück zum Zitat Hirst, W., Moore, A.J.: Non-Newtonian behaviour in elastohydrodynamic lubrication. Proc. R. Soc. A337, 101–121 (1974) Hirst, W., Moore, A.J.: Non-Newtonian behaviour in elastohydrodynamic lubrication. Proc. R. Soc. A337, 101–121 (1974)
28.
Zurück zum Zitat Hirst, W., Moore, A.J.: The elastohydrodynamic behaviour of polyphenyl ether. Proc. R. Soc. A344, 403–426 (1975) Hirst, W., Moore, A.J.: The elastohydrodynamic behaviour of polyphenyl ether. Proc. R. Soc. A344, 403–426 (1975)
29.
Zurück zum Zitat Hirst, W., Moore, A.J.: Elastohydrodynamic lubrication at high pressures. Proc. R. Soc. A360, p403–p425 (1978) Hirst, W., Moore, A.J.: Elastohydrodynamic lubrication at high pressures. Proc. R. Soc. A360, p403–p425 (1978)
30.
Zurück zum Zitat Hirst, W., Moore, A.J.: Elastohydrodynamic lubrication at high pressures. II - Non-Newtonian behaviour. Proc. R. Soc. A365, 537–565 (1979) Hirst, W., Moore, A.J.: Elastohydrodynamic lubrication at high pressures. II - Non-Newtonian behaviour. Proc. R. Soc. A365, 537–565 (1979)
31.
Zurück zum Zitat Hirst, W., Moore, A.J.: The effect of temperature on traction in elastohydrodynamic lubrication. Phil. Trans. R. Soc. Lond. A298, 183–208 (1980) Hirst, W., Moore, A.J.: The effect of temperature on traction in elastohydrodynamic lubrication. Phil. Trans. R. Soc. Lond. A298, 183–208 (1980)
32.
Zurück zum Zitat Plint, M.A.: Traction in elastohydrodynamic contacts. Proc. Inst. Mech. Eng. 182, 300–306 (1967) Plint, M.A.: Traction in elastohydrodynamic contacts. Proc. Inst. Mech. Eng. 182, 300–306 (1967)
33.
Zurück zum Zitat Allen, C.W., Townsend, D.P., Zaretsky, E.V.: Elastohydrodynamic lubrication of a spinning ball in a nonconforming groove. Trans. ASME J. Lubr. Technol. 92, 89–96 (1970) Allen, C.W., Townsend, D.P., Zaretsky, E.V.: Elastohydrodynamic lubrication of a spinning ball in a nonconforming groove. Trans. ASME J. Lubr. Technol. 92, 89–96 (1970)
34.
Zurück zum Zitat Archard, J.F.: The temperature of rubbing surfaces. Wear 2, 438–455 (1959) Archard, J.F.: The temperature of rubbing surfaces. Wear 2, 438–455 (1959)
35.
Zurück zum Zitat Hirst, W., Richmond, J.W.: Traction in elastohydrodynamic contacts. Proc. Inst. Mech. Eng. C202, 129–144 (1988) Hirst, W., Richmond, J.W.: Traction in elastohydrodynamic contacts. Proc. Inst. Mech. Eng. C202, 129–144 (1988)
36.
Zurück zum Zitat Evans, C.R., Johnson, K.L.: The rheological properties of elastohydrodynamic lubricants. Proc. Inst. Mech. Eng. C200, 303–312 (1986) Evans, C.R., Johnson, K.L.: The rheological properties of elastohydrodynamic lubricants. Proc. Inst. Mech. Eng. C200, 303–312 (1986)
37.
Zurück zum Zitat Evans, C.R., Johnson, K.L.: Regimes of traction in elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. C200, 313–324 (1986) Evans, C.R., Johnson, K.L.: Regimes of traction in elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. C200, 313–324 (1986)
38.
Zurück zum Zitat LaFountain, A.R., Johnston, G.J., Spikes, H.A.: The elastohydrodynamic traction of synthetic base oil blends. Tribol. Trans. 44, 648–656 (2001) LaFountain, A.R., Johnston, G.J., Spikes, H.A.: The elastohydrodynamic traction of synthetic base oil blends. Tribol. Trans. 44, 648–656 (2001)
39.
Zurück zum Zitat Moore, A.J.: The derivation of basic liquid flow properties from disc machine traction tests. In: Proceedings of 7th Leeds-Lyon Symposium on Tribology, Friction and Traction, pp. 289–295. MEP, London (1981) Moore, A.J.: The derivation of basic liquid flow properties from disc machine traction tests. In: Proceedings of 7th Leeds-Lyon Symposium on Tribology, Friction and Traction, pp. 289–295. MEP, London (1981)
40.
Zurück zum Zitat Muraki, M., Dong, D.: Derivation of basic rheological parameters from experimental elastohydrodynamic lubrication traction curves of low-viscosity lubricants. Proc. Inst. Mech. Eng. 213, 53–61 (1999) Muraki, M., Dong, D.: Derivation of basic rheological parameters from experimental elastohydrodynamic lubrication traction curves of low-viscosity lubricants. Proc. Inst. Mech. Eng. 213, 53–61 (1999)
41.
Zurück zum Zitat Fang, N., Chang, L., Webster, M.N., Jackson, A.: A non-averaging method of determining the rheological properties of traction fluids. Tribol. Intern 33, 751–760 (2000) Fang, N., Chang, L., Webster, M.N., Jackson, A.: A non-averaging method of determining the rheological properties of traction fluids. Tribol. Intern 33, 751–760 (2000)
42.
Zurück zum Zitat Fang, N., Chang, L., Johnson, G.J., Webster, M.N., Jackson, A.: An experimental/theoretical approach to modelling the viscous behaviour of liquid lubricants in elastohydrodynamic lubrication contacts. Proc. Inst. Mech. Eng. J215, 311–318 (2001) Fang, N., Chang, L., Johnson, G.J., Webster, M.N., Jackson, A.: An experimental/theoretical approach to modelling the viscous behaviour of liquid lubricants in elastohydrodynamic lubrication contacts. Proc. Inst. Mech. Eng. J215, 311–318 (2001)
43.
Zurück zum Zitat Bair, S., Winer, W.O.: The high shear stress rheology of liquid lubricants at pressures of 2 to 200 MPa. Trans. ASME J. Tribol. 112, 253–256 (1990) Bair, S., Winer, W.O.: The high shear stress rheology of liquid lubricants at pressures of 2 to 200 MPa. Trans. ASME J. Tribol. 112, 253–256 (1990)
44.
Zurück zum Zitat Bair, S.: The nature of the logarithmic traction gradient. Tribol. Intern. 35, 591–597 (2002) Bair, S.: The nature of the logarithmic traction gradient. Tribol. Intern. 35, 591–597 (2002)
45.
Zurück zum Zitat Bair, S.: Rheology and high-pressure models for quantitative elastohydrodynamics. Proc. Inst. Mech. Eng. J223, 617–628 (2009) Bair, S.: Rheology and high-pressure models for quantitative elastohydrodynamics. Proc. Inst. Mech. Eng. J223, 617–628 (2009)
46.
Zurück zum Zitat Houpert, L., Flamand, L., Berthe, D.: Rheological and thermal effects in lubricated EHD contacts. Trans. ASME J. Tribol 103, 526–532 (1981) Houpert, L., Flamand, L., Berthe, D.: Rheological and thermal effects in lubricated EHD contacts. Trans. ASME J. Tribol 103, 526–532 (1981)
47.
Zurück zum Zitat Wang, S.H., Zhang, H.H.: Combined effects of thermal and non-Newtonian character of lubricant on pressure, film profile, temperature rise, and shear stress in EHL. Trans. ASME J. Tribol. 109, 666–670 (1987) Wang, S.H., Zhang, H.H.: Combined effects of thermal and non-Newtonian character of lubricant on pressure, film profile, temperature rise, and shear stress in EHL. Trans. ASME J. Tribol. 109, 666–670 (1987)
48.
Zurück zum Zitat Sui, P.C., Sadeghi, F.: Non-Newtonian thermal elastohydrodynamic lubrication. Trans. ASME J. Tribol. 113, 390–396 (1991) Sui, P.C., Sadeghi, F.: Non-Newtonian thermal elastohydrodynamic lubrication. Trans. ASME J. Tribol. 113, 390–396 (1991)
49.
Zurück zum Zitat Wang, S., Cusano, C., Conry, T.F.: Thermal analysis of elastohydrodynamic lubrication of line contacts using the Ree–Eyring fluid model. Trans. ASME J. Tribol. 113, 232–242 (1991) Wang, S., Cusano, C., Conry, T.F.: Thermal analysis of elastohydrodynamic lubrication of line contacts using the Ree–Eyring fluid model. Trans. ASME J. Tribol. 113, 232–242 (1991)
50.
Zurück zum Zitat Khonsari, M.M., Hua, D.Y.: Thermal elastohydrodynamic analysis using a generalized non-Newtonian formulation with application to Bair–Winer constitutive equation. Trans. ASME J. Tribol. 116, 37–46 (1994) Khonsari, M.M., Hua, D.Y.: Thermal elastohydrodynamic analysis using a generalized non-Newtonian formulation with application to Bair–Winer constitutive equation. Trans. ASME J. Tribol. 116, 37–46 (1994)
51.
Zurück zum Zitat Sharif, K.J., Evans, H.P., Snidle, R.W., Newall, J.P.: Modeling of film thickness and traction in a variable ratio traction drive rig. Trans. ASME J. Tribol. 126, 92–104 (2004) Sharif, K.J., Evans, H.P., Snidle, R.W., Newall, J.P.: Modeling of film thickness and traction in a variable ratio traction drive rig. Trans. ASME J. Tribol. 126, 92–104 (2004)
52.
Zurück zum Zitat Otero, J.E., Morgado, P.L., Tanarro, E.C., de la Guerra Ochoa, E., Lantada, A.D., Munoz-Guijosa, J.M., Sanz, J.M.: Analytical model for predicting the friction coefficient in point contacts with thermal elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. J. 225, 181–191 (2011) Otero, J.E., Morgado, P.L., Tanarro, E.C., de la Guerra Ochoa, E., Lantada, A.D., Munoz-Guijosa, J.M., Sanz, J.M.: Analytical model for predicting the friction coefficient in point contacts with thermal elastohydrodynamic lubrication. Proc. Inst. Mech. Eng. J. 225, 181–191 (2011)
53.
Zurück zum Zitat Novak, J.D., Winer, W.O.: Some measurements of high pressure lubricant rheology. Trans. ASME J. Lubr. Technol. 90, 580–590 (1968) Novak, J.D., Winer, W.O.: Some measurements of high pressure lubricant rheology. Trans. ASME J. Lubr. Technol. 90, 580–590 (1968)
54.
Zurück zum Zitat Jakobsen, J., Winer, W.O.: High shear stress behaviour of some representative lubricants. Trans. ASME J. Lubr. Technol. 97, 479–485 (1975) Jakobsen, J., Winer, W.O.: High shear stress behaviour of some representative lubricants. Trans. ASME J. Lubr. Technol. 97, 479–485 (1975)
55.
Zurück zum Zitat Bair, S., Winer, W.O.: Shear strength measurement of lubricants at high pressure. Trans. ASME J. Lubr.Technol. 101, 251–257 (1979) Bair, S., Winer, W.O.: Shear strength measurement of lubricants at high pressure. Trans. ASME J. Lubr.Technol. 101, 251–257 (1979)
56.
Zurück zum Zitat Bair, S., Winer, W.O.: A rheological model for elastohydrodynamic contacts based on primary laboratory date. Trans. ASME J. Lubr. Technol. 101, 258–264 (1979) Bair, S., Winer, W.O.: A rheological model for elastohydrodynamic contacts based on primary laboratory date. Trans. ASME J. Lubr. Technol. 101, 258–264 (1979)
57.
Zurück zum Zitat Bair, S., Winer, W.O.: Some observations in high pressure rheology of lubricants. Trans. ASME J. Lubr. Technol. 104, 357–364 (1982) Bair, S., Winer, W.O.: Some observations in high pressure rheology of lubricants. Trans. ASME J. Lubr. Technol. 104, 357–364 (1982)
58.
Zurück zum Zitat Ramesh, K.T., Clifton, R.J.: A pressure-shear plate impact experiment for studying the rheology of lubricants at high pressures and high shearing rates. Trans. ASME J. Tribol. 109, 215–222 (1987) Ramesh, K.T., Clifton, R.J.: A pressure-shear plate impact experiment for studying the rheology of lubricants at high pressures and high shearing rates. Trans. ASME J. Tribol. 109, 215–222 (1987)
59.
Zurück zum Zitat Bair, S., Winer, W.O.: The high pressure high shear stress rheology of liquid lubricants. Trans. ASME J. Tribol. 112, 1–9 (1992) Bair, S., Winer, W.O.: The high pressure high shear stress rheology of liquid lubricants. Trans. ASME J. Tribol. 112, 1–9 (1992)
60.
Zurück zum Zitat Bair, S., Winer, W.O.: A new high pressure, high shear stress viscometer and results for lubricants. Tribol. Trans. 36, 721–725 (1993) Bair, S., Winer, W.O.: A new high pressure, high shear stress viscometer and results for lubricants. Tribol. Trans. 36, 721–725 (1993)
61.
Zurück zum Zitat Bair, S.: Recent developments in high pressure rheology of lubricants. Proceedings of 21st Leeds-Lyon Symposium on Tribology, Lubricants and Lubrication, pp. 169–187. Elsevier Science B.V, Amsterdam (1995) Bair, S.: Recent developments in high pressure rheology of lubricants. Proceedings of 21st Leeds-Lyon Symposium on Tribology, Lubricants and Lubrication, pp. 169–187. Elsevier Science B.V, Amsterdam (1995)
62.
Zurück zum Zitat Bair, S.: The high pressure rheology of some simple model hydrocarbons. Proc. Inst. Mech. Eng. J. 216, 139–149 (2002) Bair, S.: The high pressure rheology of some simple model hydrocarbons. Proc. Inst. Mech. Eng. J. 216, 139–149 (2002)
63.
Zurück zum Zitat Bair, S., Khonsari, M.M.: Reynolds equations for common generalized Newtonian models and an approximate Reynolds-Carreau equation. Proc. Inst. Mech. Eng. J. 220, 365–374 (2006) Bair, S., Khonsari, M.M.: Reynolds equations for common generalized Newtonian models and an approximate Reynolds-Carreau equation. Proc. Inst. Mech. Eng. J. 220, 365–374 (2006)
64.
Zurück zum Zitat Bair, S., Vergne, P., Querry, M.: A unified shear-thinning treatment of both film thickness and traction in EHD. Tribol. Lett. 18, 145–152 (2005) Bair, S., Vergne, P., Querry, M.: A unified shear-thinning treatment of both film thickness and traction in EHD. Tribol. Lett. 18, 145–152 (2005)
65.
Zurück zum Zitat Eyring, H.: Viscosity, plasticity, and diffusion as examples of absolute reaction rates. J. Chem. Phys. 4, 283–291 (1936) Eyring, H.: Viscosity, plasticity, and diffusion as examples of absolute reaction rates. J. Chem. Phys. 4, 283–291 (1936)
66.
Zurück zum Zitat Ewell, R.H.: The reaction rate theory of viscosity and some of its applications. J. Appl. Phys. 9, 252–269 (1938) Ewell, R.H.: The reaction rate theory of viscosity and some of its applications. J. Appl. Phys. 9, 252–269 (1938)
67.
Zurück zum Zitat Kincaid, J.F., Eyring, H., Stearn, A.E.: The theory of absolute reaction rates and its application to viscosity and diffusion in the liquid state. Chem. Rev. 28, 301–365 (1941) Kincaid, J.F., Eyring, H., Stearn, A.E.: The theory of absolute reaction rates and its application to viscosity and diffusion in the liquid state. Chem. Rev. 28, 301–365 (1941)
68.
Zurück zum Zitat Kauzmann, W., Eyring, H.: The viscous flow of large molecules. J. Am. Chem. Soc. 62, 3113–3125 (1940) Kauzmann, W., Eyring, H.: The viscous flow of large molecules. J. Am. Chem. Soc. 62, 3113–3125 (1940)
69.
Zurück zum Zitat Powell, R.E., Roseveare, W.E., Eyring, H.: Diffusion, thermal conductivity, and viscous flow of liquids. Ind. Eng. Chem. 33, 430–435 (1941) Powell, R.E., Roseveare, W.E., Eyring, H.: Diffusion, thermal conductivity, and viscous flow of liquids. Ind. Eng. Chem. 33, 430–435 (1941)
70.
Zurück zum Zitat Ree, T., Eyring, H.: Theory of non‐Newtonian flow. I. Solid plastic system. J. Appl. Phys. 26, 793–800 (1955) Ree, T., Eyring, H.: Theory of non‐Newtonian flow. I. Solid plastic system. J. Appl. Phys. 26, 793–800 (1955)
71.
Zurück zum Zitat Ree, F., Ree, T., Eyring, H.: Relaxation theory of transport problems in condensed systems. Ind. Eng. Chem. 50, 1036–1040 (1958) Ree, F., Ree, T., Eyring, H.: Relaxation theory of transport problems in condensed systems. Ind. Eng. Chem. 50, 1036–1040 (1958)
72.
Zurück zum Zitat Bell, J.C.: Lubrication of rolling surfaces by a Ree–Eyring fluid. ASLE Trans. 5, 160–171 (1962) Bell, J.C.: Lubrication of rolling surfaces by a Ree–Eyring fluid. ASLE Trans. 5, 160–171 (1962)
73.
Zurück zum Zitat Bair, S.: Actual Eyring models for thixotropy and shear-thinning: experimental validation and application to EHD. Trans ASME J. Tribol. 126, 728–732 (2004) Bair, S.: Actual Eyring models for thixotropy and shear-thinning: experimental validation and application to EHD. Trans ASME J. Tribol. 126, 728–732 (2004)
74.
Zurück zum Zitat Prandtl, L.: Ein Gedankenmodell zur kinetischen Theorie der festen Körper. Z. für Angew. Math. und Mech. 8, 85–106 (1928) Prandtl, L.: Ein Gedankenmodell zur kinetischen Theorie der festen Körper. Z. für Angew. Math. und Mech. 8, 85–106 (1928)
75.
Zurück zum Zitat Popov, V.L., Gray, J.A.T.: Prandtl‐Tomlinson model: history and applications in friction, plasticity, and nanotechnologies. ZAMM‐J. Appl. Math. Mech. 92, 683–708 (2012) Popov, V.L., Gray, J.A.T.: Prandtl‐Tomlinson model: history and applications in friction, plasticity, and nanotechnologies. ZAMM‐J. Appl. Math. Mech. 92, 683–708 (2012)
76.
Zurück zum Zitat Sutterby, J.L.: Laminar converging flow of dilute polymer solutions in conical sections: part I. Viscosity data, new viscosity model, tube flow solution. AIChE J. 12, 63–68 (1966) Sutterby, J.L.: Laminar converging flow of dilute polymer solutions in conical sections: part I. Viscosity data, new viscosity model, tube flow solution. AIChE J. 12, 63–68 (1966)
77.
Zurück zum Zitat Cross, M.M.: Rheology of non-Newtonian fluids: a new flow equation for pseudoplastic systems. J. Coll. Sci. 20, 417–443 (1965) Cross, M.M.: Rheology of non-Newtonian fluids: a new flow equation for pseudoplastic systems. J. Coll. Sci. 20, 417–443 (1965)
78.
Zurück zum Zitat Morris, E.R.: Shear-thinning of ‘random coil’ polysaccharides: characterisation by two parameters from a simple linear plot. Carbohydr. Polym. 13, 85–96 (1990) Morris, E.R.: Shear-thinning of ‘random coil’ polysaccharides: characterisation by two parameters from a simple linear plot. Carbohydr. Polym. 13, 85–96 (1990)
79.
Zurück zum Zitat Powell, R.E., Eyring, H.: Mechanism for relaxation theory of viscosity. Nature 154, 427–428 (1944) Powell, R.E., Eyring, H.: Mechanism for relaxation theory of viscosity. Nature 154, 427–428 (1944)
80.
Zurück zum Zitat Lodge, A.S.: Constitutive equations from molecular network theories for polymer solutions. Rheol. Acta 7, 379–392 (1968) Lodge, A.S.: Constitutive equations from molecular network theories for polymer solutions. Rheol. Acta 7, 379–392 (1968)
81.
Zurück zum Zitat Carreau, P.J.: Rheological equations from molecular network theories. Trans. Soc. Rheol. 16, 99–127 (1972) Carreau, P.J.: Rheological equations from molecular network theories. Trans. Soc. Rheol. 16, 99–127 (1972)
82.
Zurück zum Zitat Yasuda, K.Y., Armstrong, R.C., Cohen, R.E.: Shear flow properties of concentrated solutions of linear and star branched polystyrenes. Rheol. Acta 20, 163–178 (1981) Yasuda, K.Y., Armstrong, R.C., Cohen, R.E.: Shear flow properties of concentrated solutions of linear and star branched polystyrenes. Rheol. Acta 20, 163–178 (1981)
83.
Zurück zum Zitat Bair, S.: Measurement of real non-Newtonian response for liquid lubricants under moderate pressures. Proc. Inst. Mech. Eng. J215, 223–233 (2001) Bair, S.: Measurement of real non-Newtonian response for liquid lubricants under moderate pressures. Proc. Inst. Mech. Eng. J215, 223–233 (2001)
84.
Zurück zum Zitat Warburg, E., Sachs, J.: Ueber den Einfluss der Dichtigkeit auf die Viscosität tropfbarer Flüssigkeiten. Ann. der Physik 258, 518–522 (1884) Warburg, E., Sachs, J.: Ueber den Einfluss der Dichtigkeit auf die Viscosität tropfbarer Flüssigkeiten. Ann. der Physik 258, 518–522 (1884)
85.
Zurück zum Zitat Barus, C.: Isothermals, isopiestics and isometrics relative to viscosity. Am. J. Sci. 266, 87–96 (1893) Barus, C.: Isothermals, isopiestics and isometrics relative to viscosity. Am. J. Sci. 266, 87–96 (1893)
86.
Zurück zum Zitat Pressure-viscosity Report, A.S.M.E.: Viscosity and density of over 40 lubricating fluids of known composition at pressures to 150, 000 psi and temperatures to 425F. ASME, New York (1953) Pressure-viscosity Report, A.S.M.E.: Viscosity and density of over 40 lubricating fluids of known composition at pressures to 150, 000 psi and temperatures to 425F. ASME, New York (1953)
87.
Zurück zum Zitat Roelands, C.J.A.: Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils. PhD thesis, Techn. Univ. of Delft (1966) Roelands, C.J.A.: Correlational aspects of the viscosity-temperature-pressure relationship of lubricating oils. PhD thesis, Techn. Univ. of Delft (1966)
88.
Zurück zum Zitat Paluch, M., Dendzik, Z., Rzoska, S.J.: Scaling of high-pressure viscosity data in low-molecular-weight glass-forming liquids. Phys. Rev. B 60, 2979–2982 (1999) Paluch, M., Dendzik, Z., Rzoska, S.J.: Scaling of high-pressure viscosity data in low-molecular-weight glass-forming liquids. Phys. Rev. B 60, 2979–2982 (1999)
89.
Zurück zum Zitat Doolittle, A.K.: Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free‐space. J. Appl. Phys. 22, 1471–1475 (1951) Doolittle, A.K.: Studies in Newtonian flow. II. The dependence of the viscosity of liquids on free‐space. J. Appl. Phys. 22, 1471–1475 (1951)
90.
Zurück zum Zitat Cohen, M.H., Turnbull, D.: Molecular transport in liquids and glasses. J. Chem. Phys. 31, 1164–1169 (1959) Cohen, M.H., Turnbull, D.: Molecular transport in liquids and glasses. J. Chem. Phys. 31, 1164–1169 (1959)
91.
Zurück zum Zitat Yasutomi, S., Bair, S., Winer, W.O.: An application of a free volume model to lubricant rheology I—dependence of viscosity on temperature and pressure. Trans. ASME J. Tribol. 106, 291–302 (1984) Yasutomi, S., Bair, S., Winer, W.O.: An application of a free volume model to lubricant rheology I—dependence of viscosity on temperature and pressure. Trans. ASME J. Tribol. 106, 291–302 (1984)
92.
Zurück zum Zitat Bair, S., Kottke, P.: Pressure-viscosity relationships for elastohydrodynamics. Tribol. Trans. 46, 289–295 (2003) Bair, S., Kottke, P.: Pressure-viscosity relationships for elastohydrodynamics. Tribol. Trans. 46, 289–295 (2003)
93.
Zurück zum Zitat Larsson, R., Anderson, O.: Lubricant thermal conductivity and heat capacity under high pressure. Proc. Inst. Mech. Eng. J. 214, 337–342 (2000) Larsson, R., Anderson, O.: Lubricant thermal conductivity and heat capacity under high pressure. Proc. Inst. Mech. Eng. J. 214, 337–342 (2000)
94.
Zurück zum Zitat Bair, S., Khonsari, M., Winer, W.O.: High-pressure rheology of lubricants and limitations of the Reynolds equation. Tribol. Intern. 31, 573–586 (1998) Bair, S., Khonsari, M., Winer, W.O.: High-pressure rheology of lubricants and limitations of the Reynolds equation. Tribol. Intern. 31, 573–586 (1998)
95.
Zurück zum Zitat Bair, S.: Reference liquids for quantitative elastohydrodynamics: selection and rheological characterization. Tribol. Lett. 22, 197–206 (2006) Bair, S.: Reference liquids for quantitative elastohydrodynamics: selection and rheological characterization. Tribol. Lett. 22, 197–206 (2006)
96.
Zurück zum Zitat Harris, K.R.: Temperature and pressure dependence of the viscosities of 2-ethylhexyl benzoate, bis (2-ethylhexyl) phthalate, 2, 6, 10, 15, 19, 23-hexamethyltetracosane (squalane), and diisodecyl phthalate. J. Chem. Eng. Data 54, 2729–2738 (2009) Harris, K.R.: Temperature and pressure dependence of the viscosities of 2-ethylhexyl benzoate, bis (2-ethylhexyl) phthalate, 2, 6, 10, 15, 19, 23-hexamethyltetracosane (squalane), and diisodecyl phthalate. J. Chem. Eng. Data 54, 2729–2738 (2009)
97.
Zurück zum Zitat Harris, K.R., Bair, S.: Temperature and pressure dependence of the viscosity of diisodecyl phthalate at temperatures between (0 and 100) C and at pressures to 1 GPa. J. Chem. Eng. Data 52, 272–278 (2007) Harris, K.R., Bair, S.: Temperature and pressure dependence of the viscosity of diisodecyl phthalate at temperatures between (0 and 100) C and at pressures to 1 GPa. J. Chem. Eng. Data 52, 272–278 (2007)
98.
Zurück zum Zitat Bair, S.: The high-pressure, high-shear stress rheology of a polybutene. J. Non-Newt. Fluid Mech. 97, 53–65 (2001) Bair, S.: The high-pressure, high-shear stress rheology of a polybutene. J. Non-Newt. Fluid Mech. 97, 53–65 (2001)
99.
Zurück zum Zitat Clifton, R.J.: Discussion to paper Bair, S., Winer, W.O.: The high shear stress rheology of liquid lubricants at pressures of 2 to 200 MPa. Trans. ASME J. Tribol. 112, 253–256 (1990) Clifton, R.J.: Discussion to paper Bair, S., Winer, W.O.: The high shear stress rheology of liquid lubricants at pressures of 2 to 200 MPa. Trans. ASME J. Tribol. 112, 253–256 (1990)
100.
Zurück zum Zitat Bair, S., Winer. W.O.: The pressure-viscosity coefficient at Hertz pressure and its relation to concentrated contact traction. Proceedings of 26th Leeds-Lyon Symposium on Tribology, Thinning Films and Tribological Interfaces. Elsevier Science B.V., Tribology Series vol. 38, pp. 433–443. Elsevier Science B.V., Amsterdam (2001) Bair, S., Winer. W.O.: The pressure-viscosity coefficient at Hertz pressure and its relation to concentrated contact traction. Proceedings of 26th Leeds-Lyon Symposium on Tribology, Thinning Films and Tribological Interfaces. Elsevier Science B.V., Tribology Series vol. 38, pp. 433–443. Elsevier Science B.V., Amsterdam (2001)
101.
Zurück zum Zitat Bair, S., Vergne, P., Marchetti, M.: The effect of shear-thinning on film thickness for space lubricants. Tribol. Trans. 45, 330–333 (2002) Bair, S., Vergne, P., Marchetti, M.: The effect of shear-thinning on film thickness for space lubricants. Tribol. Trans. 45, 330–333 (2002)
102.
Zurück zum Zitat Bair, S., Qureshi, F.: The generalised Newtonian fluid model and elastohydrodynamic film thickness. Trans. ASME J. Tribol. 125, 70–75 (2003) Bair, S., Qureshi, F.: The generalised Newtonian fluid model and elastohydrodynamic film thickness. Trans. ASME J. Tribol. 125, 70–75 (2003)
103.
Zurück zum Zitat Eyring, H., Ree, T., Hirai, N.: The viscosity of high polymers—the random walk of a group of connected segments. Proc. Nat. Acad. Sci. USA 44, 1213–1217 (1958) Eyring, H., Ree, T., Hirai, N.: The viscosity of high polymers—the random walk of a group of connected segments. Proc. Nat. Acad. Sci. USA 44, 1213–1217 (1958)
104.
Zurück zum Zitat Muraki, M., Konishi, S.: Shear behavior of low-viscosity fluids in EHL contacts (Part 1): theoretical analysis with a thermal Eyring model. Jpn. J. Tribol. 38, 1085–1096 (1993) Muraki, M., Konishi, S.: Shear behavior of low-viscosity fluids in EHL contacts (Part 1): theoretical analysis with a thermal Eyring model. Jpn. J. Tribol. 38, 1085–1096 (1993)
105.
Zurück zum Zitat Bair, S., Qureshi, F., Winer, W.O.: Observations of shear localization in liquid lubricants under pressure. Trans. ASME J. Tribol. 115, 507–514 (1993) Bair, S., Qureshi, F., Winer, W.O.: Observations of shear localization in liquid lubricants under pressure. Trans. ASME J. Tribol. 115, 507–514 (1993)
106.
Zurück zum Zitat Ponjavic, A., Mare, L., Wong, J.S.: Effect of pressure on the flow behavior of polybutene. J. Polym. Sci., Part B: Polym. Phys. 52, 708–715 (2014) Ponjavic, A., Mare, L., Wong, J.S.: Effect of pressure on the flow behavior of polybutene. J. Polym. Sci., Part B: Polym. Phys. 52, 708–715 (2014)
107.
Zurück zum Zitat Ponjavic, A., Wong, J.S.: The effect of boundary slip on elastohydrodynamic lubrication. RSC Adv. 4, 20821–20829 (2014) Ponjavic, A., Wong, J.S.: The effect of boundary slip on elastohydrodynamic lubrication. RSC Adv. 4, 20821–20829 (2014)
108.
Zurück zum Zitat Todd, B.D., Daivis, P.J.: Homogeneous non-equilibrium molecular dynamics simulations of viscous flow: techniques and applications. Mol. Simul. 33, 189–229 (2007) Todd, B.D., Daivis, P.J.: Homogeneous non-equilibrium molecular dynamics simulations of viscous flow: techniques and applications. Mol. Simul. 33, 189–229 (2007)
109.
Zurück zum Zitat Ashurst, W.T., Hoover, W.G.: Shear viscosity via periodic nonequilibrium molecular dynamics. Phys. Lett. 61A, 175–177 (1977) Ashurst, W.T., Hoover, W.G.: Shear viscosity via periodic nonequilibrium molecular dynamics. Phys. Lett. 61A, 175–177 (1977)
110.
Zurück zum Zitat Berker, A., Chynoweth, S., Klomp, U.C., Michopoulos, Y.: Non-equilibrium molecular dynamics (NEMD) simulations and the rheological properties of liquid n-hexadecane. J. Chem. Soc., Faraday Trans. 88, 1719–1725 (1992) Berker, A., Chynoweth, S., Klomp, U.C., Michopoulos, Y.: Non-equilibrium molecular dynamics (NEMD) simulations and the rheological properties of liquid n-hexadecane. J. Chem. Soc., Faraday Trans. 88, 1719–1725 (1992)
111.
Zurück zum Zitat Kioupis, L.I., Maginn, E.J.: Impact of molecular architecture on the high-pressure rheology of hydrocarbon fluids. J. Phys. Chem. B 104, 7774–7783 (2000) Kioupis, L.I., Maginn, E.J.: Impact of molecular architecture on the high-pressure rheology of hydrocarbon fluids. J. Phys. Chem. B 104, 7774–7783 (2000)
112.
Zurück zum Zitat Lacks, D.J.: Energy landscapes and the non-Newtonian viscosity of liquids and glasses. Phys. Rev. Lett. 87, 225–502 (2001) Lacks, D.J.: Energy landscapes and the non-Newtonian viscosity of liquids and glasses. Phys. Rev. Lett. 87, 225–502 (2001)
113.
Zurück zum Zitat Rottler, J., Robbins, M.O.: Shear yielding of amorphous glassy solids: effect of temperature and strain rate. Phys. Rev. E 68.1, 011507 (2003) Rottler, J., Robbins, M.O.: Shear yielding of amorphous glassy solids: effect of temperature and strain rate. Phys. Rev. E 68.1, 011507 (2003)
114.
Zurück zum Zitat Borzsak, I., Cummings, P.T., Evans, D.J.: Shear viscosity of a simple fluid over a wide range of strain rates. Mol. Phys. 100, 2735–2738 (2002) Borzsak, I., Cummings, P.T., Evans, D.J.: Shear viscosity of a simple fluid over a wide range of strain rates. Mol. Phys. 100, 2735–2738 (2002)
115.
Zurück zum Zitat Bair, S., McCabe, C., Cummings, P.T.: Calculation of viscous EHL traction for squalane using molecular simulation and rheometry. Tribol. Lett. 13, 251–254 (2002) Bair, S., McCabe, C., Cummings, P.T.: Calculation of viscous EHL traction for squalane using molecular simulation and rheometry. Tribol. Lett. 13, 251–254 (2002)
Metadaten
Titel
History, Origins and Prediction of Elastohydrodynamic Friction
verfasst von
Hugh Spikes
Zhang Jie
Publikationsdatum
01.10.2014
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 1/2014
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-014-0396-y

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