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Hydrodynamic model for particle size segregation in granular media

Author

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  • Trujillo, Leonardo
  • Herrmann, Hans J.

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 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.

Suggested Citation

  • Trujillo, Leonardo & Herrmann, Hans J., 2003. "Hydrodynamic model for particle size segregation in granular media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 330(3), pages 519-542.
    • Handle: RePEc:eee:phsmap:v:330:y:2003:i:3:p:519-542
    DOI: 10.1016/S0378-4371(03)00621-6
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