Some Remarks on the Validity of Reynolds Equation in the Modeling of Lubricant Film Flows on the Surface Roughness Scale

[+] Author and Article Information
T. Almqvist, R. Larsson

Division of Machine Elements, Luleå University of Technology, SE-971 87 Luleå, Sweden

J. Tribol 126(4), 703-710 (Nov 09, 2004) (8 pages) doi:10.1115/1.1760554 History: Received July 01, 2003; Revised March 25, 2004; Online November 09, 2004
Copyright © 2004 by ASME
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Grahic Jump Location
The denominator in the modified momentum equations for Newtonian (-) and Eyring (--) rheological models. The pressure is denoted beside the curves.
Grahic Jump Location
Pressure distribution for the two approaches when a Newtonian rheology is used. The CFD-solution denoted by (-) and the Reynolds solution by (* ), ω=2.5×10−3.
Grahic Jump Location
The CFD-solution (-) compared with the Reynolds equation solution (--) when the singularity influences the solution. The rheology is assumed to be Newtonian, ω=2.5×10−3.
Grahic Jump Location
The CFD and Reynolds equation solution for an Eyring rheological model, ω=2.5×10−3
Grahic Jump Location
The denominator in the modified momentum equations for a Newtonian (-) and an Eyring (--) rheological model. The Eyring stress τ0 is denoted beside the curves.
Grahic Jump Location
The ratio of the maximum deviation between the CFD and Reynolds equation and the maximum pressure. In the figure, three different ratios yr/h are shown versus ω.
Grahic Jump Location
The deviation in pressure between the CFD and Reynolds equation approaches versus ω. The ratio yr/h is held to a constant value yr/h=0.1.
Grahic Jump Location
The ratio of the maximum pressure difference across the fluid film and the maximum pressure along a trace in the middle of the film in the CFD-computations. In the figure, three different ratios yr/h are shown versus ω.



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