Theory of the leak-rate of seals

Details Theory of the leak-rate of seals Theory of the leak-rate of seals

2008-05-06

arxiv.org/abs/0805.0699v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 19 figures

Scientific paper

10.1088/0953-8984/20/31/315011

Seals are extremely useful devices to prevent fluid leakage. However, the exact mechanism of roughness induced leakage is not well understood. We present a theory of the leak-rate of seals, which is based on percolation theory and a recently developed contact mechanics theory. We study both static and dynamics seals. We present molecular dynamics results which show that when two elastic solids with randomly rough surfaces are squeezed together, as a function of increasing magnification or decreasing squeezing pressure, a non-contact channel will percolate when the (relative) projected contact area, A/A_0, is of order 0.4, in accor dance with percolation theory. We suggest a simple experiment which can be used to test the theory.

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