Fluid dynamics at the interface between contacting elastic solids with randomly rough surfaces

Persson, B. N. J.

doi:10.1088/0953-8984/22/26/265004

Journal Article

PreJuSER-12962

Fluid dynamics at the interface between contacting elastic solids with randomly rough surfaces

Persson, B. N. J.FZJ*

2010
IOP Publ. Bristol

Journal of physics / Condensed matter 22, 265004 (2010) [10.1088/0953-8984/22/26/265004]

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Please use a persistent id in citations: http://hdl.handle.net/2128/23204 doi:10.1088/0953-8984/22/26/265004

Abstract: We study fluid dynamics at the interface between elastic solids with randomly rough surfaces. The contact mechanics model of Persson is used to take into account the elastic interaction between the solid walls, and the Bruggeman effective medium theory to account for the influence of the disorder on the fluid flow. We calculated the flow tensor which determines the pressure flow factor and, for example, the leak rate of static seals. It is shown how the perturbation treatment of Tripp can be extended to arbitrary order in the ratio between the root-mean-square roughness amplitude and the average interfacial surface separation. We introduce a matrix D(ζ), determined by the surface roughness power spectrum, which can be used to describe the anisotropy of the surface at any magnification ζ. Results are presented for the asymmetry factor γ(ζ) (generalized Peklenik number) for grinded steel and sandblasted PMMA surfaces.

Keyword(s): Anisotropy (MeSH) ; Elasticity (MeSH) ; Hydrodynamics (MeSH) ; Microscopy, Atomic Force: methods (MeSH) ; Microscopy, Scanning Tunneling: methods (MeSH) ; Models, Statistical (MeSH) ; Pressure (MeSH) ; Surface Properties (MeSH) ; J

Classification:

Physics, Condensed Matter

Note: I thank G Carbone and M Scaraggi for interesting discussions. I thank A Wohlers for supplying the AFM and STM topography data for the grinded steel surface and for discussions. This work, as part of the European Science Foundation EUROCORES Program FANAS, was supported from funds by the DFG and the EC Sixth Framework Program, under contract N ERAS-CT-2003-980409.

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