Rise time of spherical intruder in granular fluid

2011/05/16 by Sparisoma Viridi, Viridi, Sparisoma, Nuning Nuraini +11
Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Granular flow and fluidized beds #Soft Condensed Matter (cond-mat.soft) #Sports Dynamics and Biomechanics

paper · pdf · doi:10.48550/arxiv.1105.2987

openalex publication_date 2011/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 = R₀ n, n = 1 .. 10. An approximation for t << τ 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 α and also transformation from T to T' 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' against n are presented and discussed.

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