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 (PHI) above a critical value PHI(c) congruent-to 2.8. The ratio of the upward velocity of the large particles to their diameter is greatest for values of PHI just larger than PHI(c). The simulation results can be understood in terms of a simple theoretical model that becomes exact in the limit PHI --> infinity.
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WEIDENBAUM SS, 1965, CHEM ENG PROG, V51, pT27