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A three-dimensional model for particle-size segregation by shaking has been developed and used to study the upward motion of a large sphere in a random packing of smaller spheres. In this model segregation occurs only for values of the diameter ratio () above a critical value ₂2. 8. The ratio of the upward velocity of the large particles to their diameter is greatest for values of just larger than ₂. The simulation results can be understood in terms of a simple theoretical model that becomes exact in the limit.
Jullien et al. (Mon,) studied this question.
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