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• W2901888081 abstract "Predicting the flow of non-Newtonian fluids in a porous structure is still a challenging issue due to the interplay between the microscopic disorder and the nonlinear rheology. In this Letter, we study the case of a yield stress fluid in a two-dimensional structure. Thanks to an efficient optimization algorithm, we show that the system undergoes a continuous phase transition in the behavior of the flow, controlled by the applied pressure difference. In analogy with studies of plastic depinning of vortex lattices in $mathrm{high}text{ensuremath{-}}{T}_{c}$ superconductors, we characterize the nonlinearity of the flow curve and relate it to the change in the geometry of the open channels. In particular, close to the transition, a universal scale-free distribution of the channel length is observed and explained theoretically via a mapping to the Kardar-Parisi-Zhang equation." @default.
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• W2901888081 date "2019-06-21" @default.
• W2901888081 modified "2023-10-17" @default.
• W2901888081 title "Darcy’s Law for Yield Stress Fluids" @default.
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• W2901888081 doi "https://doi.org/10.1103/physrevlett.122.245502" @default.
• W2901888081 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31322393" @default.
• W2901888081 hasPublicationYear "2019" @default.
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