Oscillatory and steady shear viscosity: The Cox-Merz rule, superposition, and application to EHL friction

Tribology International

Volumn 79, Issue , 2014, Pages 126-131

  Bair, Scott ^a   Yamaguchi, Tsuyoshi ^b   Brouwer, Ludwig ^c   Schwarze, Hubert ^c   Vergne, Philippe ^d   Poll, Gerhard ^e  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b NAGOYA UNIVERSITY   (Japan)

^c CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

^d UNIVERSITÉ DE LYON   (France)

^e LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

Cox Merz rule; Elastohydrodynamic lubrication; Shear thinning; Time temperature pressure superposition

Indexed keywords

FRICTION; NON NEWTONIAN FLOW; SHEAR THINNING; VISCOMETERS; VISCOSITY MEASUREMENT;

COX-MERZ RULES; CYCLIC HYDROCARBONS; FREQUENCY DEPENDENT; IMPEDANCE SPECTROMETER; LOW MOLECULAR WEIGHT; QUANTITATIVE APPROACH; STEADY SHEAR VISCOSITY; TIME TEMPERATURE;

ELASTOHYDRODYNAMIC LUBRICATION;

EID: 84903644007     PISSN: 0301679X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.triboint.2014.06.001     Document Type: Article

References (40)

1. M.G.J.H.A. Aderin, G.J. Johnston, H.A. Spikes, and G. Caporiccio The elastohydrodynamic properties of some advanced non hydrocarbon-based lubricants Lubr Eng 48 8 1992 633 638
2. A.V. Olver, and H.A. Spikes Prediction of traction in elastohydrodynamic lubrication Proc Inst Mech Eng Part J: J Eng Tribol 212 5 1998 321 332
3. H.A. Spikes Sixty years of EHL Lubr Sci 18 4 2006 265 291 (Pubitemid 44663299)
4. S. Bair, P. Vergne, and M. Querry A unified shear-thinning treatment of both film thickness and traction in EHD Tribol Lett 18 2 2005 145 152 (Pubitemid 40374121)
5. Y. Liu, Q.J. Wang, S. Bair, and P. Vergne A quantitative solution for the full shear-thinning EHL point contact problem including traction Tribol Lett 28 2 2007 171 181
6. P.W. Bridgman The effect of pressure on the viscosity of forty-three pure liquids Proc Am Acad Arts Sci 1926 57 99
7. P.W. Bridgman The viscosity of liquids under pressure Proc Ntl Acad Sci USA 11 10 1925 603 606
8. H.H. Winter Viscous dissipation in shear flows of molten polymers Adv Heat Transf 13 1977 205 267
9. P.A. Kottke, S.S. Bair, and W.O. Winer Cavitation in creeping shear flows AIChE J 51 8 2005 2150 2170 (Pubitemid 41328513)
10. S. Bair, and C. McCabe A study of mechanical shear bands in liquids at high pressure Tribol Int 37 10 2004 783 789
11. S. Bair, and M.M. Khonsari On the choking of the flow of piezoviscous liquids J Fluids Eng 120 3 1998 621 625
12. S.S. Bair High pressure rheology for quantitative elastohydrodynamics vol. 54 2007 Elsevier Amsterdam 227 236
13. R.B. Bird, R.C. Armstrong, and O. Hassager Dynamics of polymeric liquids. Volume: fluid mechanics 1987 A Wiley-Interscience Publication, John Wiley & Sons 150
14. W. Hirst, and A.J. Moore Elastohydrodynamic lubrication at high pressures. II. Non-Newtonian behaviour Proc R Soc. Lond Math Phys Sci 365 1723 1979 537 565 (Pubitemid 9447121)
15. J.F. Hutton Reassessment of rheological properties of LVI 260 oil measured in a disk machine J Tribol 106 4 1984 536 537 (Pubitemid 14668484)
16. S. Bair, and M. Kotzalas The contribution of roller compliance to elastohydrodynamic traction Tribol Trans 49 2 2006 218 224
17. A.F. Collings, and E. McLaughlin Torsional crystal technique for the measurement of viscosities of liquids at high pressure Trans Faraday Soc 67 1971 340 352
18. R.F. Hafer, and A. Laesecke Extension of the torsional crystal viscometer to measurements in the time domain Meas Sci Technol 14 5 2003 663 673 (Pubitemid 36650307)
19. W.P. Cox, and E.H. Merz Correlation of dynamic and steady flow viscosities J Polym Sci 28 118 1958 619 622
20. K.R. Harris 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 9 2009 2729 2738
21. S.K. Mylona, M.J. Assael, M.J. Comuñas, X. Paredes, F.M. Gaciño, and J. Fernández et al. Reference correlations for the density and viscosity of squalane from 273 to 473 K at pressures to 200 MPa J Phys Chem Ref Data 43 1 2014 013104
22. W. Gleissle Two simple time-shear rate relations combining viscosity and first normal stress coefficient in the linear and non-linear flow range G. Astarita, G. Marruci, L. Nicolais, Rheology (Proceedings of the 8th International Congress on Rheology) vo1. 2 1980 Plenum Press New York 457 462
23. J.F. Hutton Theory of rheology P.M. Ku, Interdisciplinary approach to liquid lubricant technology 1973 NASA Washington 187 261
24. A. Dyson Flow properties of mineral oils in elastohydrodynamic lubrication Philos Trans R Soc Lond Ser A Math Phys Sci 258 1093 1965 529 564
25. Dyson A, Wilson AR.Paper 3: film thicknesses in elastohydrodynamic lubrication by silicone fluids. In: Proceedings of the institution of mechanical engineers, conference proceedings, SAGE Publications. 1965, June; vol. 180(11): p. 97-112).
26. A. Dyson Frictional traction and lubricant rheology in elastohydrodynamic lubrication Philos Trans R Soc Lond Ser A Math Phys Sci 266 1170 1970 1 33
27. S. Bair, C.M. Roland, and R. Casalini Fragility and the dynamic crossover in lubricants Proc Inst Mech Eng Part J: J Eng Tribol 221 7 2007 801 811 (Pubitemid 350300980)
28. K.H. Hellwege, W. Knappe, F. Paul, and V. Semjonow Druckabhängigkeit der viskosität einiger polystyrolschmelzen Rheol Acta 6 2 1967 165 170
29. S. Bair The high pressure rheology of some simple model hydrocarbons Proc Inst Mech Eng Part J: J Eng Tribol 216 3 2002 139 149 (Pubitemid 34718600)
30. 4 - propylene carbonate systems in 100 MHz region J Phys Chem B 113 35 2009 11988 11998
31. B. Bode Entwicklung eines Quarzviskosimeters für Messungen bei hohen Drücken Tribol Schmier 35 5 1988 256 261
32. T. Yamaguchi, T. Akatsuka, and S. Koda Rheological basis for empirical rules on shear viscosity of lubrication oils J Phys Chem B 117 11 2013 3232 3239
33. W. Habchi, S. Bair, and P. Vergne On friction regimes in quantitative elastohydrodynamics Tribol Int 58 2013 107 117
34. M. Björling, W. Habchi, S. Bair, R. Larsson, and P. Marklund Towards the true prediction of ehl friction Tribol Int 66 2013 19 26
35. S. Bair Shear thinning correction for rolling/sliding elastohydrodynamic film thickness Proc Inst Mech Eng Part J: J Eng Tribol 219 1 2005 69 74 (Pubitemid 40390297)
36. Bair S. Ordinary shear-thinning behavior in liquids and its effect upon EHL traction. Tribology series 39, Tribology research: from model experiment to industrial problem. Amsterdam: Elsevier; 2001. p. 733-742. (Pubitemid 32926309)
37. S. Bair Reference liquids for quantitative elastohydrodynamics: selection and rheological characterization Tribol Lett 22 2 2006 197 206 (Pubitemid 44018874)
38. W. Philippoff Stress-optical properties of silicones Trans Soc Rheol 4 1 1960 169 177
39. J.D. Moore, S.T. Cui, H.D. Cochran, and P.T. Cummings Rheology of lubricant basestocks: a molecular dynamics study of C30 isomers J Chem Phys 113 19 2000 8833 8840
40. H. Mizuno, and R. Yamamoto Mechanical responses and stress fluctuations of a supercooled liquid in a sheared non-equilibrium state Eur Phys J E 35 4 2012 1 14