Abstract
We propose a model for describing the Brazil-nut segregation time based on the experimental results of a three-dimensional “intruder model system” consisting of an intruder and numerous background small particles. The model reflects the influence of the vibration acceleration, the vibration frequency, the height of a granular bed and the mass density of intruder and small particles on the segregation time; and the theoretical values by the model are in good agreement with the experimental ones. The parameter in the model, the minimum vibration acceleration \(\varGamma _C\), beyond which the segregation can be observed, is related to the coefficient of restitution (COR) of collision between the intruder and background small particles. A smaller COR corresponds to a larger \(\varGamma _C\). The elasticity of the intruder and small particles can influence not only the segregation mechanism but also the segregation time. The COR should be taken into consideration when discussing the segregation phenomenon.
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