Rise time of spherical intruder in granular fluid

Abstract

A model is developed to explain rise time of a spherical intruder placed in a granular bed, which is considered as fluid. Phenomenon of rising intruder in a granular bed is well known as Brazil nut effect. Radius of the intruder is varied with $R_n=R_{0}n,n=\mathrm{1..10}$. An approximation for $t<<\tau$ is chosen in order to simplify the solution of second order differential equation of intruder vertical position to obtain the rise time T. A non-physical parameter $\alpha$ and also transformation from $T$ to $T^{\prime }$ are needed to be introduced in order to control the results to mimic reported experiment qualitatively. Several forms of rise time $T_n$ and also transformed rise time $T_n^{\prime }$ against $n$ are presented and discussed.

7 pages, 4 figures, conference paper

Cited by in corpus (1)

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