Numerical Simulation of the Kurtosis Effect on the EHL Problem
In this study, a computational fluid dynamics (CFD)
model has been developed for studying the effect of surface
roughness profile on the EHL problem. The cylinders contact
geometry, meshing and calculation of the conservation of mass and
momentum equations are carried out using the commercial software
packages ICEMCFD and ANSYS Fluent. The user defined functions
(UDFs) for density, viscosity and elastic deformation of the cylinders
as the functions of pressure and temperature are defined for the CFD
model. Three different surface roughness profiles are created and
incorporated into the CFD model. It is found that the developed CFD
model can predict the characteristics of fluid flow and heat transfer in
the EHL problem, including the main parameters such as pressure
distribution, minimal film thickness, viscosity, and density changes.
The results obtained show that the pressure profile at the center of the
contact area directly relates to the roughness amplitude. A rough
surface with kurtosis value of more than 3 has greater influence over
the fluctuated shape of pressure distribution than in other cases.
[1] O. Reynolds, “On the theory of lubrication and its application to Mr.
Beauchamp Tower's experiments, including an experimental
determination of the viscosity of olive oil,” Philosophical Transactions
of the Royal Society of London, vol. 177, pp. 157-234, 1886.
[2] A. I. Petrusevich, “Fundamental conclusions from the contacthydrodynamic
theory of lubrication,” Izv. Akad. Nauk. SSSR (OTN), vol.
2, pp. 209-223, 1951.
[3] D. Dowson and G. R. Higginson, “A numerical solution to the elastohydrodynamic
problem,” Journal of Mechanical Engineering Science,
vol. 1, pp. 6-15, 1959.
[4] H. Okamura, “A contribution to the numerical analysis of isothermal
elastohydrodynamic lubrication,” Proc. 9th Leeds-Lyon Symp. on
Tribology, pp. 313-320, 1983.
[5] B. J. Hamrock and D. Dowson, “Isothermal elastohydrodynamic
lubrication of point contacts, Part 1- Theoretical formulation. Journal of
tribology,” Transactions of the ASME, vol. 98, pp. 223-229, 1976.
[6] A. A. Lubrecht, T. N. W.E., and R. Bosma, “Multigrid, an alternative
method of solution for two-dimensional elastohydrodynamically
lubricated point contact calculations,” Trans. ASME. Journal of
Tribology, vol. 109, pp. 437-443, 1987.
[7] N. Patir and H. S. Cheng, “An Average Flow Model for Determining
Effects of Three-Dimensional Roughness on Partial Hydrodynamic
Lubrication,” ASME, Journal of Lubrication Technology, vol. 100, pp.
12-17, 1978.
[8] C. H. Venner and W. E. Ten Napel, “Surface Roughness Effects in an
EHL Line Contact,” ASME, Journal of Tribology, vol. 114, pp. 616-622,
1992.
[9] T. Almqvist and R. Larsson, “The Navier-Stokes approach for thermal
EHL line contact solutions,” Tribology International, vol. 35, pp. 163-
170, 2002.
[10] M. Hartinger, M. L. Dumont, S. Ioannides, D. Gosman, and H. Spikes,
“CFD modeling of a thermal and shear-thinning elastohydrodynamic
line contact,” Journal of Tribology, vol. 130, pp. 179-180, 2008.
[11] S. Gao and S. Srirattayawong, “CFD Prediction of the Effects of Surface
Roughness on Elastohydrodynamic Lubrication under Rolling/Sliding
Conditions,” Applied Mechanics and Materials, vol. 184, pp. 86-89,
2012.
[12] K. L. Johnson and J. L. Tevaarwerk, “The shear behaviour of
elastohydrodynamic oil films,” Proc. R. Soc. London, vol. 356, pp. 215-
236, 1977.
[13] R. Gohar, Elastohydrodynamics, England: Ellis horwood limited, 1988.
[14] D. Dowson, G. Higginson, and A. Whitaker, “Elasto-hydrodynamic
lubrication: a survey of isothermal solutions,” Journal of Mechanical
Engineering Science, vol. 4, pp. 121-126, 1962.
[15] A.K. Singhal, M.M. Athavale, L. Huiying, L. Jiang, “Mathematical
bases and validation of the full cavitation model,” Journal Fluids
Engineering, vol. 124, pp. 617-624, 2002.
[1] O. Reynolds, “On the theory of lubrication and its application to Mr.
Beauchamp Tower's experiments, including an experimental
determination of the viscosity of olive oil,” Philosophical Transactions
of the Royal Society of London, vol. 177, pp. 157-234, 1886.
[2] A. I. Petrusevich, “Fundamental conclusions from the contacthydrodynamic
theory of lubrication,” Izv. Akad. Nauk. SSSR (OTN), vol.
2, pp. 209-223, 1951.
[3] D. Dowson and G. R. Higginson, “A numerical solution to the elastohydrodynamic
problem,” Journal of Mechanical Engineering Science,
vol. 1, pp. 6-15, 1959.
[4] H. Okamura, “A contribution to the numerical analysis of isothermal
elastohydrodynamic lubrication,” Proc. 9th Leeds-Lyon Symp. on
Tribology, pp. 313-320, 1983.
[5] B. J. Hamrock and D. Dowson, “Isothermal elastohydrodynamic
lubrication of point contacts, Part 1- Theoretical formulation. Journal of
tribology,” Transactions of the ASME, vol. 98, pp. 223-229, 1976.
[6] A. A. Lubrecht, T. N. W.E., and R. Bosma, “Multigrid, an alternative
method of solution for two-dimensional elastohydrodynamically
lubricated point contact calculations,” Trans. ASME. Journal of
Tribology, vol. 109, pp. 437-443, 1987.
[7] N. Patir and H. S. Cheng, “An Average Flow Model for Determining
Effects of Three-Dimensional Roughness on Partial Hydrodynamic
Lubrication,” ASME, Journal of Lubrication Technology, vol. 100, pp.
12-17, 1978.
[8] C. H. Venner and W. E. Ten Napel, “Surface Roughness Effects in an
EHL Line Contact,” ASME, Journal of Tribology, vol. 114, pp. 616-622,
1992.
[9] T. Almqvist and R. Larsson, “The Navier-Stokes approach for thermal
EHL line contact solutions,” Tribology International, vol. 35, pp. 163-
170, 2002.
[10] M. Hartinger, M. L. Dumont, S. Ioannides, D. Gosman, and H. Spikes,
“CFD modeling of a thermal and shear-thinning elastohydrodynamic
line contact,” Journal of Tribology, vol. 130, pp. 179-180, 2008.
[11] S. Gao and S. Srirattayawong, “CFD Prediction of the Effects of Surface
Roughness on Elastohydrodynamic Lubrication under Rolling/Sliding
Conditions,” Applied Mechanics and Materials, vol. 184, pp. 86-89,
2012.
[12] K. L. Johnson and J. L. Tevaarwerk, “The shear behaviour of
elastohydrodynamic oil films,” Proc. R. Soc. London, vol. 356, pp. 215-
236, 1977.
[13] R. Gohar, Elastohydrodynamics, England: Ellis horwood limited, 1988.
[14] D. Dowson, G. Higginson, and A. Whitaker, “Elasto-hydrodynamic
lubrication: a survey of isothermal solutions,” Journal of Mechanical
Engineering Science, vol. 4, pp. 121-126, 1962.
[15] A.K. Singhal, M.M. Athavale, L. Huiying, L. Jiang, “Mathematical
bases and validation of the full cavitation model,” Journal Fluids
Engineering, vol. 124, pp. 617-624, 2002.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:69664", author = "S. Gao and S. Srirattayawong", title = "Numerical Simulation of the Kurtosis Effect on the EHL Problem", abstract = "In this study, a computational fluid dynamics (CFD)
model has been developed for studying the effect of surface
roughness profile on the EHL problem. The cylinders contact
geometry, meshing and calculation of the conservation of mass and
momentum equations are carried out using the commercial software
packages ICEMCFD and ANSYS Fluent. The user defined functions
(UDFs) for density, viscosity and elastic deformation of the cylinders
as the functions of pressure and temperature are defined for the CFD
model. Three different surface roughness profiles are created and
incorporated into the CFD model. It is found that the developed CFD
model can predict the characteristics of fluid flow and heat transfer in
the EHL problem, including the main parameters such as pressure
distribution, minimal film thickness, viscosity, and density changes.
The results obtained show that the pressure profile at the center of the
contact area directly relates to the roughness amplitude. A rough
surface with kurtosis value of more than 3 has greater influence over
the fluctuated shape of pressure distribution than in other cases.
", keywords = "CFD, EHL, Kurtosis, Surface roughness.", volume = "8", number = "12", pages = "2112-5", }
