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In this work, we numerically study the elastic contact between isotropic andanisotropic, rigid, randomly rough surfaces and linearly elastic counterfacesas well as the subsequent Reynolds flow through the gap between the twocontacting solids. We find the percolation threshold to depend on thefluid-flow direction when the Peklenik number indicates anisotropy unless thesystem size clearly exceeds the roll-off wave length parallel to the easy flowdirection. A critical contact area near 0.415 is confirmed. Heuristicallycorrected effective-medium treatments satisfactorily provide Reynoldsfluid-flow conductances, e.g., for isotropic roughness, we identify accurateclosed-form expressions, which only depend on the mean gap and the relativecontact area.

Percolation and Reynolds flow in elastic contacts of isotropic and anisotropic, randomly rough surface