An ultrathin liquid film lubrication theory-calculation method of solvation pressure and its application to the ehl problem

Journal of Tribology

Volumn 119, Issue 1, 1997, Pages 217-226

  Matsuoka, Hiroshige ^a   Kato, Takahisa ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642427548     PISSN: 07424787     EISSN: 15288897     Source Type: Journal    
DOI: 10.1115/1.2832464     Document Type: Editorial

References (64)

1. Alder, B. J., Frankel, S. P., Lewinson, V. A., 1955, “Radial Distribution Function Calculated by the Monte-Carlo Method for a Hard Sphere Fluid,” Journal of Chemical Physics, Vol. 23, pp. 417-419.
2. Baxter, R. J., 1970, “Ornstein-Zernike Relation and Percus-Yevick Approximation for Fluid Mixtures,” Journal of Chemical Physics, Vol. 52, pp. 4559-4562.
3. Bitsanis, I., Magda, J. J., Trrell, M., and Davis, H. T., 1987, “Molecular Dynamics of Flow in Micropores,” Journal of Chemical Physics, Vol. 87, pp. 1733-1750.
4. Carson, G., Hu, H.-W., and Granick, S., 1992, “Molecular Tribology of Fluid Lubrication: Shear Thinning,” STLE Tribology Transactions, Vol. 35, pp. 405-410.
5. Chan, D. Y. C., and Horn, R. G., 1985, “The Drainage of Thin Liquid Films between Solid Surfaces,” Journal of Chemical Physics, Vol. 83, pp. 5311-5324.
6. Chittenden, R. J., Dowson, D., Dunn, J. F., and Taylor, C. M., 1985, “A Theoretical Analysis if the Isothermal Elastohydrodynamic Lubrication of Concentrated Contacts I. Direction of Lubricant Entrainment Coincident with the Major Axis of the Hertzian Contact Ellipse,” Proceedings of the Royal Society of London, Series A, Vol. 397, pp. 245-269.
7. Christenson, H. K., 1983, “Experimental Measurements of Solvation Forces in Nonpolar Liquids,” Journal of Chemical Physics, Vol. 78, pp. 6906-6913.
8. Christenson, H. K., Horn, R. G., and Israelachvili, J. N., 1982, “Measurement of Forces Due to Structure in Hydrocarbon Liquids,” Journal of Colloid and Interface Science, Vol. 88, pp. 79-88.
9. de Bruyne, F. A., and Bogy, D. B., 1994, “Numerical Simulation of the Lubrication of the Head-Disk Interface Using a Non-Newtonian Fluid,” ASME Journal of Tribology, Vol. 116, pp, 541-548.
10. Dowson, D., and Higginson, G. R., 1977, “Elasto-Hydrodynamic Lubrication,” SI edition, Pergamon Press.
11. Esfahanian, M., and Hamrock, B. J., 1991, “Fluid-Film Lubrication Regimes Revisited,” STLE Tribology Transactions, Vol. 34, pp. 628-632.
12. Evans, H.P., and Snidle, R.W., 1981, “The Isothermal Elastohydrodynamic Lubrication of Spheres,” ASME Journal of Lubrication Technology, Vol. 103, pp. 547-557.
13. Gaines, Jr., G. L., 1957, “The Ion-Exchange Properties of Muscovite Mica,” Journal of Physical Chemistry, Vol. 61, pp. 1408-1413.
14. Gee, M. L., McGuiggan, P. M., Israelachvili, J. N., and Homola, A. M., 1990, “Liquid to Solidlike Transition of Molecularly Thin Films under Shear,” Journal of Chemical Physics, Vol. 93, pp. 1895-1906.
15. Georges, J. M., Millot, S., Loubet, J. L., and Tonk, A., 1993(a), “Drainage of Thin Liquid Films between Relatively Smooth Surfaces,” Journal of Chemical Physics, Vol. 98, pp. 7345-7360.
16. Georges, J. M., Millot, S., Loubet, J. L., Tonk, A., and Mazuyer, D., 1993(b), “Surface Roughness and Squeezed Films at Molecular Level,” Proceedings of the 19th Leeds-Lyon Symposium on Tribology, pp. 443-452.
17. Georges, J. M., Tonk, A., Mazuyer, D., 1995, “Static and Dynamic Frictions of Compressed Polymer Layers,” Synopses of International Tribology Conference’95, Yokohama, pp. 1.
18. Granick, S., 1991, “Motions and Relaxations of Confined Liquids,” Science, Vol. 253, pp. 1374-1379.
19. Granick, S., and Hu, H.-W., 1994, “Nanorheology of Confined Polymer Melts. 1. Linear Shear Response at Strongly Adsorbing Surfaces,” iMngmuir, Vol. 10, pp. 3857-3866.
20. Granick, S., Demirel, A. L., Cai, L. L., and Peanasky, J., 1995, “Nanorheology of Confined Liquids and Block Copolymers,” Israel Journal of Chemistry, Vol. 35, pp. 75-84.
21. Guangteng, G., and Spikes, H. A., 1994, “Behavior of Lubricants in the Mixed Elastohydrodynamic Regime,” presented at the 21st Leeds-Lyon Symposium on Tribology.
22. Guangteng, G., and Spikes, H. A., 1995, “Boundary Film Formation by Lubricant Base Fluids,” presented at the 50th STLE Annual Meeting in Chicago, No. 95-NP-7D-3.
23. Hamrock, B. J., and Dowson, D., 1976, “Isothermal Elastohydrodynamic Lubrication of Point Contacts Part 1-Theoretical Formulation,” ASME Journal of Lubrication Technology, Vol. 98, pp. 223-229.
24. Hamrock, B. J., and Dowson, D., 1978, “Minimum Film Thickness in Elliptical Contacts for Different Regimes of Fluid Film Lubrication,” Proceedings of the 5th Leeds-Lyon Symposium on Tribology, pp. 22-27.
25. Henderson, D., and Lozada-Cassou, M., 1986, “A Simple Theory for the Force between Spheres Immersed in a Fluid,” Journal of Colloid and Interface Science, Vol. 114, pp. 180-183.
26. Heyes, D. M., Kim, J. J., Montrose, C. J., and Litovitz, T. A., 1980, “Time Dependent Nonlinear Shear Stress Effects in Simple Liquids: A Molecular Dynamics Study,” Journal of Chemical Physics, Vol. 73, pp. 3987-3996.
27. Homola, A. M., 1991, “The Role of Interfacial Forces and Lubrication in Thin-Film Magnetic Media,” Advences in Information Storage System, Vol. 1, pp. 279-308.
28. Homola, A. M., Israelachvili, J. N., Gee, M. L., and McGuiggan, P. M., 1989, “Measurement of and Relation between the Adhesion and Friction of Two Surfaces Separated by Molecularly Thin Liquid Films,” ASME Journal of Tribology, Vol. III, pp, 675-682.
29. Horn, R. G., and Israelachvili, J. N., 1981, “Direct Measurement of Structural Forces between Two Surfaces in a Nonpolar Liquid,” Journal of Chemical Physics, Vol. 75, pp. 1400-1411.
30. Ikcda, Y., and Tago, K., 1995, “Tribological Study on Molecularly Thin Films Using Non-Equilibrium Molecular Dynamics,” JAST Journal ofJapane.se Society of Tribologists, Vol. 40, pp. 253-259.
31. Israelachvili, J. N., 1972, “The Calculation of van der Waals Dispersion Forces between Macroscopic Bodies,” Proceedings of the Royal Society of London, Series A, Vol. 331, pp. 39-55.
32. israelachvili, J. N., 1992, “Intermolecular and Surface Forces,” 2nd edition. Academic Press.
33. Israelachvili, J. N., McGuiggan, P. M., and Homola, A. M., 1988, “Dynamic Properties of Molecularly Thin Liquid Films,” Science, Vol. 240, pp. 189-191.
34. Jang, S., and Tichy, J, A., 1995, “Rheological Models for Thin Film EHL Contacts,” ASME Journal of Tribology, Vol. 117, pp. 22-28.
35. Johnston, G. J., Wayte, R., and Spikes, H. A., 1991, “The Measurement and Study of Very Thin Lubricant Films in Concentrated Contacts,” STLE Tribology Transactions, Vol. 34, pp. 187-194.
36. Lifshitz, E. M., 1956, “The Theory of Molecular Attractive Forces between Solids,” Soviet Physics, JETP, Vol. 2, pp. 73-83.
37. Lin, J. F., and Chu, H. Y., 1991, “A Numerical Solution for Calculating Elastic Deformation in Elliptical-Contact EHL of Rough Surface,” ASME Journal of Tribology, Vol. 113, pp. 12-21.
38. Luo, J. B., Wen, S. Z., and Cao, N. J., 1995, “Study on the Characteristics of Lubricant Film at Nanometer Scale,” Synopses of International Tribology Conference’95, Yokohama, pp. 2.
39. Matsuoka, H., and Kato, T., 1996, “Discrete Nature of Ultrathin Lubrication Film Between Mica Surfaces,” ASME Journal of Tribology, to be published.
40. Ornstein, L. S., and Zernike, F., 1914, “Accidental Deviations of Density and Opalescence at the Critical Point of a Single Substance,” Proceedings of the Royal Academy, Amsterdam, Vol. 17, pp. 793-806.
41. Peachey, J., van Alsten, J., and Granick, S., 1991, “Design of an Apparatus to Measure the Shear Response of Ultrathin Liquid Films,” Review in Scientific Instruments, Vol. 62, pp. 463-473.
42. Percus, J. K., and Yevick, G. J., 1958, “Analysis of Classical Statistical Mechanics by Means of Collective Coordinates,” Physical Review, Vol. 110, pp. 1-13.
43. Perram, J. W., 1975, “Hard Sphere Correlation Functions in the Percus-Yevick Approximation,” Molecular Physics, Vol. 30, pp. 1505-1509.
44. Prieve, D. C., and Russel, W. B., 1988, “Simplified Predictions of Hamakcr Constants from Lifshitz Theory,” Journal of Colloid and Interface Science, Vol. 125, pp. 1-13.
45. Smeeth, M., Spikes, H. A., and Gunsel, S., 1995(a), “The Formation of Viscous Surface Films by Polymer Solutions: Boundary or Elastohydrodynamic Lubrication?,” presented at the 50th STLE Annual Meeting in Chicago, No. 95-NP-7D-2.
46. Smeeth, M., Spikes, H. A., and Günsel, S., 1995(b), “Boundary Film Formation by Viscosity Index Improvers,” presented at the STLE/ASME Tribology Conference in Florida, No. 95-TC-3C-1.
47. Smith, W. R., and Henderson, D., 1970, “Analytical Representation of the Percus-Yevick Hard-Sphere Radial Distribution Function,” Molecular Physics, Vol. 19, pp. 411-415.
48. Snook, I., and van Megen, W., 1979, “Structure of Dense Liquids at Solid Interfaces,” Journal of Chemical Physics, Vol. 70, pp. 3099-3105.
49. Snook, I. K., and van Megen, W., 1980, “Solvation Forces in Simple Dense Fluids. I,” Journal of Chemical Physics, Vol. 72, pp. 2907-2913.
50. Snook, I. K., and van Megen, W., 1981, “Calculation of Solvation Forces between Solid Particles Immersed in a Simple Liquid,” Journal of Chemical Society, Faraday Transactions II, Vol. 77, pp. 181-190.
51. Spikes, H., 1995, “The Thickness and Rheology of Boundary Lubricating Films,” Synopses of International Tribology Conference’95, Yokohama, pp. 3.
52. Tarazona, P., and Vicente, L., 1985, “A Model for Density Oscillations in Liquids between Solid Walls,” Molecular Physics, Vol. 56, pp. 557-572.
53. Throop, G. J., and Bearman, R. J., 1965, “Numerical Solutions of the Percus-Yevick Equation for the Hard-Sphere Potential,” Journal of Chemical Physics, Vol. 42, pp. 2408-2411.
54. Tichy, J. A., 1995(a), “Modeling of Thin Film Lubrication,” STLE Tribology Transactions, Vol. 38, pp. 108-118.
55. Tichy, J. A., 1995(b), “A Surface Layer Model for Thin Film Lubrication,” STLE Tribology Transactions, Vol. 38, pp. 577-582.
56. Tichy, J. A., 1995(c), “A Porous Media Model for Thin Film Lubrication,” ASME Journal of Tribology, Vol. 117, pp. 16-21.
57. van Alsten, J., and Granick, S., 1988, “Molecular Tribometry of Ultrathin Liquid Films,” Physical Review Letters, Vol. 61, pp. 2570-2573.
58. van Alsten, J., and Granick, S., 1990, “Tribology Studied Using Atomically Smooth Surfaces,” STLE Tribology Transactions, Vol. 33, pp. 436-446.
59. van Megen, W., and Snook, I., 1979, “Solvent Structure and Solvation Forces between Solid Bodies,” Journal of Chemical Society, Faraday Transactions II, Vol. 75, pp. 1095-1102.
60. Venner, C. H., and ten Napel, W. E., 1992(a), “Multilevel Solution of the Elastohydrodynamically Lubricated Circular Contact Problem Part 1: Theory and Numerical Argorithm,” Wear, Vol. 152, pp. 351-367.
61. Venner, C. H., and ten Napel, W. E., 1992(b), “Multilevel Solution of the Elastohydrodynamically Lubricated Circular Contact Problem Part 2: Smooth Surface Results,” Wear, Vol. 152, pp. 369-381.
62. Wertheim, M. S., 1963, “Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres,” Physical Review Letters, Vol. 10, pp. 321-323.
63. Wertheim, M. S., 1964, “Analytic Solution of the Percus-Yevick Equation,” Journal of Mathematical Physics, Vol. 5, pp. 643-651.
64. White, L. R., 1983, “On the Deryaguin Approximation for the Interaction of Macrobodies,” Journal of Colloid and Interface Science, Vol. 95, pp. 286-288.