2005
DOI: 10.1137/040616164
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Volume of Suspension That Flows through a Small Orifice Before It Clogs

Abstract: We consider the following experiment. A container is filled with a suspension consisting of particles immersed in an incompressible liquid. An opening is made on the container wall and the suspension flows through the opening. We develop a mathematical model to compute the expected volume of suspension extracted before particles clog the opening. Our studies are relevant to the understanding of clogging of pore throats in porous media, which plays an important role in geomaterials, biological systems, and indu… Show more

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Cited by 8 publications
(2 citation statements)
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“…We first rely on a discrete stochastic model following the approach developed in Refs. [29] and [68] 29,68 . To do so, we generate numerically a random distribution of particles with a surface fraction φ in the channel.…”
Section: Discrete Stochastic Modelmentioning
confidence: 99%
“…We first rely on a discrete stochastic model following the approach developed in Refs. [29] and [68] 29,68 . To do so, we generate numerically a random distribution of particles with a surface fraction φ in the channel.…”
Section: Discrete Stochastic Modelmentioning
confidence: 99%
“…It is shown that both samples are susceptible to internal erosion. In this study, the suspension particles are assumed to come from the upstream soil (Goldsztein, 2005). The suspension particle size distribution in the influent is the same as that of the fine fraction of the sample.…”
Section: Simulation Programmentioning
confidence: 99%