Reynolds equations for common generalized Newtonian models and an approximate Reynolds-Carreau equation

Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology

Volumn 220, Issue 4, 2006, Pages 365-374

  Bair, Scott ^a   Khonsari, M M ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b Louisiana State University   (United States)

Author keywords

Elastohydrodynamics; Film thickness; Generalized Newtonian models; Hydrodynamic lubrication; Reynolds equation; Shear thinning

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; ELASTOHYDRODYNAMICS; LUBRICANTS; MATHEMATICAL MODELS; REYNOLDS NUMBER;

FILM THICKNESS; GENERALIZED NEWTONIAN MODELS; HYDRODYNAMIC LUBRICATION; SHEAR THINNING;

ELASTOHYDRODYNAMIC LUBRICATION;

COMPUTER SIMULATION; ELASTICITY; ELASTOHYDRODYNAMIC LUBRICATION; ELASTOHYDRODYNAMICS; LUBRICANTS; MATHEMATICAL MODELS; REYNOLDS NUMBER;

EID: 33746605546     PISSN: 13506501     EISSN: None     Source Type: Journal    
DOI: 10.1243/13506501JET79     Document Type: Article

References (19)

1. Dyson, A. and Wilson, A. R. Film thickness in elastohydrodynamic lubrication by silicone fluids. Proc. Instn Mech. Engrs, Part K: J. Multi-body Dynamics, 1965-66, 180(K3), 97-105.
2. Novak, J. D. and Winer, W. O. Some measurements of high pressure lubricant rheology. ASME J. Lubr. Technol., 1968, 90(3), 580-591.
3. Bair, S. Elastohydrodynamic film forming with shear thinning liquids. ASME J. Tribol., 1998, 120, 173-178.
4. Bair, S., Vergne, P., and Querry, M. A unified shear-thinning treatment of both film thickness and traction in EHD. Tribol. Lett., 2005, 18(1), 145-152.
5. Bair, S., Qureshi, F., and Kotzalas, M. The low shear stress rheology of a traction fluid and the influence on film thickness. Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2004, 218, 95-98.
6. Schultheisz, C. R. and Leight, S. D. Certification of the rheological behavior of SRM 2490, polyisobutylene dissolved in 2,6,10,14-tetramethylpentadecane. NIST special publication 260-143, 2002, pp. 2-27.
7. Bair, S. The shear rheology of thin compressed liquid films. Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2002, 216, 1-17.
8. Villechaise, B., Dalmaz, G., Makala, J., and Chaomleffel, J. P. On the traction fluid behavior in concentrated contacts. Boundary and mixed lubrication: science and applications (Eds D. Dowson et al.), 2002, pp. 401-412 (Elsevier, Amsterdam).
9. Bair, S. Shear-thinning correction for rolling/sliding elastohydrodynamic film thickness. Proc. IMechE, Part J: J. Engineering Tribology, 2005, 219, 69-74.
10. Kleinschmidt, R. V., Bradbury, D., and Mark, M. Viscosity and density of over forty lubricating fluids of known composition at pressures to 150 000 psi and temperatures to 425° F, 1953 (ASME, New York).
11. Bair, S. and Qureshi, F. The generalized newtonian fluid model and elastohydrodynamic film thickness. ASME J. Tribol., 2003, 125, 70-75.
12. Bair, S., Khonsari, M., and Winer, W. O. High-pressure rheology of lubricants and limitations of the Reynolds equation. Tribol. Int., 1998, 31(10), 573-586.
13. Rajagopal, K. R. and Szeri, A. Z. On an inconsistency in the derivation of the equations of elastohydrodynamic lubrication. Proc. R. Soc. Lond. A, 2003, 459, 2771-2786.
14. Bair, S. A Reynolds-Ellis equation for line contact with shear-thinning. Tribol. Int., 2006, 39, 310-316.
15. Bair, S. and Khonsari, M. Generalized Reynolds equations for line contact with double-Newtonian shear-thinning. Tribol. Lett., 2005, 18,(4), 513-520.
16. Greenwood, J. A. Two-dimensional flow of a non-Newtonian lubricant. Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2000, 214, 29-41.
17. Greenwood, J. A. and Kauzlarich, J. J. Elastohydrodynamic film thickness for shear-thinning lubricants. Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 1998, 212, 179-191.
18. Bair, S. The high-pressure rheology of some simple model hydrocarbons. Proc. Instn Mech. Engrs, Part J: J. Engineering Tribology, 2002, 216, 139-149.
19. Bair, S. and Khonsari, M. An EHD inlet zone analysis incorporating the second newtonian. ASME J. Tribol., 1996, 118, 341-343.