Hydrodynamic model for particle size segregation in granular media

Details Hydrodynamic model for particle size segregation in granular media Hydrodynamic model for particle size segregation in granular media

2002-02-26

arxiv.org/abs/cond-mat/0202484v1

Physics

Condensed Matter

Statistical Mechanics

21 pages, 5 figures

Scientific paper

10.1016/S0378-4371(03)00621-6

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 collisions and this leads to a different behavior from what one would expect for an elastic system. Using our model we can explain the size ratio dependence of the upward velocity.

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