2011
DOI: 10.1103/physreve.83.061302
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Morphology of air invasion in an immersed granular layer

Abstract: We report a study of the paths formed by a finite volume of air gently injected at the base of an immersed granular material. A two-dimensional model, based on experimental observations, shows that the typical height and width of the region explored by the branched path depends not only on the injected volume V, but also on a dimensionless parameter χ which accounts for the relative effects of the gravity and capillarity. For a given injected volume V, larger gravity effects lead to taller and narrower structu… Show more

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Cited by 17 publications
(40 citation statements)
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“…This parabolic shape has already been described in the literature [17,21,37,46], although for many years a cone-shape invasion zone has also been reported [17]. More recent works have pointed out the robustness of the parabolic shape, whichever the initial invasion regime, i.e., whichever the injection flow-rate, both in 2D and 3D experiments [42][43][44]. Based on these results and our experiments, we propose the tentative diagram displayed in Figure 2, where for a given immersed granular bed, the state of the system will be mainly governed by the injection flow rate, Q, as well as the volume of gas V(t) which has crossed the grain layer at time t.…”
Section: Methodsmentioning
confidence: 87%
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“…This parabolic shape has already been described in the literature [17,21,37,46], although for many years a cone-shape invasion zone has also been reported [17]. More recent works have pointed out the robustness of the parabolic shape, whichever the initial invasion regime, i.e., whichever the injection flow-rate, both in 2D and 3D experiments [42][43][44]. Based on these results and our experiments, we propose the tentative diagram displayed in Figure 2, where for a given immersed granular bed, the state of the system will be mainly governed by the injection flow rate, Q, as well as the volume of gas V(t) which has crossed the grain layer at time t.…”
Section: Methodsmentioning
confidence: 87%
“…Previous studies have described the fluidized zone (FZ) parabolic contour by the equation |x| = √ Dz, where D can be seen as the analog of a diffusion coefficient-here, D is a characteristic "diffusive" length [42]. Typically, in similar experiments, D was found of the order of 4 cm [44].…”
Section: Dependence On Q and Dmentioning
confidence: 84%
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