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TECHNICAL PAPERS

Viscoelastic Lubrication With Phan-Thein-Tanner Fluid (PTT)

[+] Author and Article Information
F. Talay Akyildiz

Department of Mathematics, Ondokuz Mayis University, Samsun, 55139, Turkey

Hamid Bellout

Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115

J. Tribol 126(2), 288-291 (Apr 19, 2004) (4 pages) doi:10.1115/1.1651536 History: Received May 06, 2003; Revised September 11, 2003; Online April 19, 2004
Copyright © 2004 by ASME
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References

Tichy,  J. A., 1996, “Non-Newtonian Lubrication With the Convective Maxwell Model,” ASME J. Tribol., 118(2), pp. 344–349.
Sawyer,  W. G., and Tichy,  J. A., 1998, “Non-Newtonian Lubrication With the Second-Order Fluid,” ASME J. Tribol., 120, pp. 622–628.
Huang,  P., Li,  Zhi-Heng, Meng,  Yong-Gang, and Wen,  Shi-Zhu, 2002, “Study on Thin Film Lubrication With Second-Order Fluid,” ASME J. Tribol., 124, pp. 547–552.
Phan-Thein,  N., and Tanner,  R. I., 1977, “A New Constitutive Equation Derived From Network Theory,” J. Non-Newtonian Fluid Mech., 2, pp. 353–365.
Bird,  R. B., Dotson,  P. J., and Johnson,  N. L., 1980, “Polymer Solution Rheology Based on a Finitely Extensible Bead-Spring Chain Model,” J. Non-Newtonian Fluid Mech., 7, pp. 213–235.
Giesekus,  H., 1982, “A Simple Constitutive Equation for Polymer Based on the Concept of the Deformation Dependent Tensorial Mobility,” J. Non-Newtonian Fluid Mech., 11, pp. 69–109.
Quinzani,  L., Armstrong,  R. C., and Brown,  R. A., 1995, “Use of Coupled Birefringence and LDV Studies of Flow Through a Planar Contraction to Test Constitutive Equations for Concentrated Polymer Solutions,” J. Rheol., 39, pp. 1201–1228.
Baaijens,  F. P. T., 1993, “Numerical Analysis of Start-Up Planar and Axisymmetric Contraction Flows Using Multi-Mode Differential Constitutive Models,” J. Non-Newtonian Fluid Mech., 48, pp. 147–180.
Azaiez,  J., Guenette,  R., and Aït-Kadi,  A., 1996, “Numerical Simulation of Viscoelastic Flows Through a Planar Contraction,” J. Non-Newtonian Fluid Mech., 62, pp. 253–277.
Bolach,  H., Townsend,  P., and Webster,  M. F., 1996, “On Vortex Development in Viscoelastic Expansion and Contraction Flows,” J. Non-Newtonian Fluid Mech., 65, pp. 133–149.
White,  S. A., and Baird,  D. G., 1988, “Numerical Simulation Studies of the Planar Entry Flow of Polymer Melts,” J. Non-Newtonian Fluid Mech., 30, pp. 47–71.
Phan-Thein,  N., 1978, “A Nonlinear Network Viscoelastic Model,” J. Rheol., 22, pp. 259–283.
O’Brien, S. B. G., and Schwartz, L. W., 2002, “Theory and Modeling of Thin Film Flows,” Encyclopedia of Surface and Colloid Science, pp. 5283–5297.

Figures

Grahic Jump Location
General one-dimensional contact geometry
Grahic Jump Location
Difference between exact and approximate solution for the pressure profile with film thickness h(x)=1−0.8x+0.5(x2−x)
Grahic Jump Location
Pressure deviation for very small Deborah number
Grahic Jump Location
Pressure distribution for small Deborah number
Grahic Jump Location
Pressure distribution for large Deborah number

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