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- W2314896249 abstract "In this paper, we numerically investigate the statistical properties of the nonflowing areas of Bingham fluid in two-dimensional porous media. First, we demonstrate that the size probability distribution of the unyielded clusters follows a power-law decay with a large size cutoff. This cutoff is shown to diverge following a power law as the imposed pressure drop tends to a critical value. In addition, we observe that the exponents are almost identical for two different types of porous media. Finally, those scaling properties allow us to account for the quadratic relationship between the pressure gradient and velocity." @default.
- W2314896249 created "2016-06-24" @default.
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- W2314896249 date "2015-02-13" @default.
- W2314896249 modified "2023-09-25" @default.
- W2314896249 title "Generalization of Darcy's law for Bingham fluids in porous media: From flow-field statistics to the flow-rate regimes" @default.
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- W2314896249 doi "https://doi.org/10.1103/physreve.91.023011" @default.
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