2003
DOI: 10.1016/s0378-4371(03)00621-6
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Hydrodynamic model for particle size segregation in granular media

Abstract: We present a hydrodynamic theoretical model for "Brazil nut" size segregation in granular materials. We give analytical solutions for the rise velocity of a large intruder particle immersed in a medium of monodisperse fluidized small particles. We propose a new mechanism for this particle size-segregation due to buoyant forces caused by density variations which come from differences in the local "granular temperature". The mobility of the particles is modified by the energy dissipation due to inelastic collisi… Show more

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Cited by 29 publications
(19 citation statements)
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“…Furthermore, in Figure 2, one sees that the larger the size of the impurities is, the larger is their speed for rising or sinking at t ′ < 600; this should account for the size grading. It is known that impurities are subjected to a granular viscous force from randomly moving matrix particles when the impurities move relative to matrix particles [ Zik et al , 1992], and that the viscous force is a function of the impurity size [ Albert et al , 1999; Trujillo and Herrmann , 2003]. Therefore, the dependence in the rising‐ and sinking‐speeds on the size of the impurities is expected to be caused by the granular viscous force.…”
Section: Discussionmentioning
confidence: 99%
“…Furthermore, in Figure 2, one sees that the larger the size of the impurities is, the larger is their speed for rising or sinking at t ′ < 600; this should account for the size grading. It is known that impurities are subjected to a granular viscous force from randomly moving matrix particles when the impurities move relative to matrix particles [ Zik et al , 1992], and that the viscous force is a function of the impurity size [ Albert et al , 1999; Trujillo and Herrmann , 2003]. Therefore, the dependence in the rising‐ and sinking‐speeds on the size of the impurities is expected to be caused by the granular viscous force.…”
Section: Discussionmentioning
confidence: 99%
“…[117]. This way, the validity of the pair correlation functions can be extended to higher densities They can be used to predict mixing and segregation of two species [124,[214][215][216][217][218].…”
Section: Particle Size-distributionsmentioning
confidence: 99%
“…More recently, new behavior was discovered for the limit of very small bed particles ("dust"), in particular the sinking of light intruders [6,7], and a non-monotonic dependence of the rise time on density [8,9,10]. A number of theory and experimental papers explored different aspects of this surprising behavior [11,12,13,14,15,16], but so far there has been no consensus about either the underlying mechanisms or the relative importance of various system parameters in driving the intruder motion.Here we present results from a systematic investigation of both the intruder motion and the bed particle flow. Our central finding is that there is a phase diagram which delineates rising and sinking behavior of the intruder as a function of interstitial gas pressure, intruder density, and initial intruder height within the container.…”
mentioning
confidence: 99%
“…As a consequence, our findings directly contrast with the mechanisms proposed in Refs. [6,10,14,16] that neglect interstitial gas flow.We placed granular material inside an acrylic cylinder (inner diameter 8.2 cm) mounted on a shaker and used individual, well-spaced sine wave cycles ("taps") of frequency f and amplitude A to vibrate the vessel vertically. The cell could be evacuated to a gas pressure, P .…”
mentioning
confidence: 99%