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TECHNICAL PAPERS

Modeling of Line Contacts With Degrading Lubricant

[+] Author and Article Information
Ilya I. Kudish, Ruben G. Airapetyan

Kettering University, Flint, MI 48504

J. Tribol 125(3), 513-522 (Jun 19, 2003) (10 pages) doi:10.1115/1.1538193 History: Received March 12, 2002; Revised October 08, 2002; Online June 19, 2003
Copyright © 2003 by ASME
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References

Crail,  I. R. H., and Neville,  A. L., 1969, “The Mechanical Shear Stability of Polymeric VI Improvers,” J. Inst. Pet., 55(542), pp. 100–108.
Casale,  A., and Porter,  R. S., 1971, “The Mechanochemistry of High Polymers,” Rubber Chem. Technol., 44(2), pp. 534–577.
Walker,  D. L., Sanborn,  D. M., and Winer,  W. O., 1975, “Molecular Degradation of Lubricants in Sliding Elastohydrodynamic Contacts,” ASME J. Lubr. Technol., 97, pp. 390–397.
Yu,  J. F. S., Zakin,  J. L., and Patterson,  G. K., 1979, “Mechanical Degradation of High Molecular Weight Polymers in Dilute Solution,” J. Appl. Polym. Sci., 23, pp. 2493–2512.
Odell,  J. A., Keller,  A., and Rabin,  Y., 1988, “Flow-Induced Scission of Isolated Macromolecules,” AIP, J. of Chemical Physics, 88(6), pp. 4022–4028.
Covitch, M. J., 1998, “How Polymer Architecture Affects Permanent Viscosity Loss of Multigrade Lubricants,” SAE Technical Paper Series, Paper No. 982638.
Ziff,  R. M., and McGrady,  E. D., 1985, “The Kinetics of Cluster Fragmentation and Depolymerization,” J. Phys. A: Math. Gen., 18, pp. 3027–3037.
Ziff,  R. M., and McGrady,  E. D., 1986, “Kinetics of Polymer Degradation,” Macromolecules, 19, pp. 2513–2519.
McGrady,  E. D., and Ziff,  R. M., 1988, “Analytical Solutions to Fragmentation Equations with Flow,” AIChE Journal, 34(12), pp. 2073–2076.
Montroll,  E. W., and Simha,  R., 1940, “Theory of Depolymerization of Long Chain Molecules,” J. Chem. Phys., 8, pp. 721–727.
Saito,  O., 1958, “On the Effect of High Energy Radiation to Polymers. I, Cross-Linking and Degradation,” J. Phys. S of Japan 13, pp. 198–206.
Kudish, I. I., and Ben-Amotz, D., 1999, “Modeling Polymer Molecule Scission in EHL Contacts,” The Advancing Frontier of Engineering Tribology, Proc. of the 1999 STLE/ASME H.S. Cheng Tribology Surveillance, Q. Wang, J. Netzel, and F. Sadeghi, eds., pp. 176–182.
Kudish,  I. I., Airapetyan,  R. G., and Covitch,  M. J., 2002, “Modeling of Kinetics of Strain-Induced Degradation of Polymer Additives in Lubricants,” Math. Methods Appl. Sci., 12(6), pp. 1–11.
Kudish,  I. I., Airapetyan,  R. G., and Covitch,  M. J., 2003, “Modeling of Kinetics of Stress-Induced Degradation of Polymer Additives in Lubricants and Viscosity Loss,” STLE Tribol. Trans., 46(1), pp. 11.
Billmeyer, F. W., Jr., 1966, Textbook of Polymer Science, John Wiley & Sons, New York.
Crespi, G., Valvassori, A., and Flisi, U., 1977, “Olefin Copolymers,” The Stereo Rubbers, W. M. Saltman, ed., pp. 365–431.
Ayrapetov,  E. L., Kudish,  I. I., and Panovko,  M. Ya., 1992, “Numerical Solution of Heavily Loaded Elastohydrodynamic Contact,” Soviet J. of Friction and Wear,13(6), pp. 1–7.
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Figures

Grahic Jump Location
The map of the flow streamlines for the degrading lubricant under pure rolling conditions (s0=0)
Grahic Jump Location
The map of the horizontal component u of the velocity of the degrading lubricant under pure rolling conditions (s0=0) along its flow streamlines
Grahic Jump Location
The pressure distributions p(x) for the degrading (solid line) and nondegrading (dashed-dotted line) lubricants for s0=0 and the Hertzian pressure distribution (dashed line)
Grahic Jump Location
The distribution of the gap h(x) in the contact region for s0=0: nondegrading lubricant (dashed line), degrading lubricant (solid line)
Grahic Jump Location
The distribution of the reciprocal of the lubricant viscosity μ(x,z) in the lubrication film under pure rolling conditions, s0=0,(z is the stretched z-coordinate across the film thickness, z=zh(a)/h(x))
Grahic Jump Location
The distribution of the reciprocal of the lubricant viscosity μ(x,z) along the flow streamlines under pure rolling conditions, s0=0
Grahic Jump Location
The distribution of the polymer molecular weight W(x,z(x),l) along the flow streamline z48(x) that is running through the whole contact and is next to the first turning around flow streamline under pure rolling conditions (s0=0)
Grahic Jump Location
The map of the flow streamlines for the degrading lubricant under pure sliding conditions (s0=−2)
Grahic Jump Location
The map of the horizontal component u of the flow velocity for the degrading lubricant along the flow streamlines under pure sliding conditions (s0=−2)
Grahic Jump Location
The pressure distributions p(x) for the degrading (solid line) and nondegrading (dashed-dotted line) lubricants for s0=−2 and the Hertzian pressure distribution (dashed line)
Grahic Jump Location
The distribution of the reciprocal of the lubricant viscosity μ(x,z) in the lubrication film under pure sliding conditions, s0=−2,(z is the stretched z-coordinate across the film thickness, z=zh(a)/h(x))
Grahic Jump Location
The distribution of the reciprocal of the lubricant viscosity μ(x,z) along the flow streamlines under pure sliding conditions, s0=−2
Grahic Jump Location
The distribution of the polymer molecular weight W(x,z(x),l) along the flow streamline z48(x) that is running through the whole contact and is next to the first turning around flow streamline under pure sliding conditions (s0=−2)

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