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preprint · Scientific Reports · 2016

Fluid leakage near the percolation threshold

Wolf B. Dapp, Martin H. Müser

Cited by 0Open access

Abstract

Percolation is a concept widely used in many fields of research and refers to the propagation of substances through porous media (e.g., coffee filtering), or the behaviour of complex networks (e.g., spreading of diseases). Percolation theory asserts that most percolative processes are universal, that is, the emergent powerlaws only depend on the general, statistical features of the macroscopic system, but not on specific details of the random realisation. In contrast, our computer simulations of the leakage through a seal--applying common assumptions of elasticity, contact mechanics, and fluid dynamics--show that the critical behaviour (how the flow ceases near the sealing point) solely depends on the microscopic details of the last constriction. It appears fundamentally impossible to accurately predict from statistical properties of the surfaces alone how strongly we have to tighten a water tap to make it stop dripping and also how it starts dripping once we loosen it again.

Cite this paper

APA 7

Dapp, W. B., & Müser, M. H. (2016). Fluid leakage near the percolation threshold. Scientific Reports, 6(1), 19513. https://doi.org/10.1038/srep19513

MLA 9

Dapp, Wolf B., and Martin H. Müser. “Fluid leakage near the percolation threshold.” Scientific Reports, vol. 6, no. 1, 2016, p. 19513, https://doi.org/10.1038/srep19513.

Chicago

Dapp, Wolf B., and Martin H. Müser. 2016. “Fluid leakage near the percolation threshold.” Scientific Reports 6 (1): 19513. https://doi.org/10.1038/srep19513.

Harvard

Dapp, W.B. and Müser, M.H. (2016) ‘Fluid leakage near the percolation threshold’, Scientific Reports, 6(1), p. 19513. Available at: https://doi.org/10.1038/srep19513.

BibTeX
@misc{dapp2016fluid,
  title = {{Fluid leakage near the percolation threshold}},
  author = {Dapp, Wolf B. and Müser, Martin H.},
  journal = {Scientific Reports},
  volume = {6},
  number = {1},
  pages = {19513},
  year = {2016},
  doi = {10.1038/srep19513}
}

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