Resonant phenomena and mechanism in vibrated granular systems

Cai, Hui; Miao, Guoqing

doi:10.1103/physreve.101.032902

Cited by 7 publications

(6 citation statements)

References 44 publications

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“…They concluded that a granular bed has a natural resonant frequency according to grains' density and size. This intrinsic characteristic was validated by subsequent experiments [46,47], in which continuous input energy led to a series of periodical resonant waves. Furthermore, the saw-tooth bottom exerts a great influence on the induced horizontal flow of grains due to resonance.…”

Section: Introductionmentioning

confidence: 68%

Resonance-induced acceleration of the RBNE-BNE segregation inversion of granular mixtures

Shao¹,

Li²,

Wang³

et al. 2022

Preprint

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This paper presents the experiments and simulations on the resonance-induced acceleration of the reverse Brazil nut effect (RBNE)-Brazil nut effect (BNE) segregation inversion of binary mixtures in flat-bottom and circular-bottom containers. Both experimental and simulation results indicate that the starting location of the sinkage of heavier grains at the top layer is triggered with certain randomness in the flat-bottom container, whereas it first occurs at either of the lateral edges of the bottom in the circular-bottom container. The quantified segregation factors in simulations show that the transition from the RBNE segregation state to the BNE segregation state happens faster in the circular-bottom container than that in the flat-bottom container. The occurrence of standing-wave resonant spots of higher and lower granular temperature accelerates the RBNE-BNE segregation inversion. From the elastic collision model of single grain, the bottom with a larger angle leads to more energy transfer from the vertical direction to the horizontal direction. The theoretical predictions are confirmed by the simulations of a monodisperse granular bed. The flatbottom container has a uniform distribution with a standing-wave period of granular temperature and packing density, whereas the circular-bottom container possesses a higher granular temperature in the horizontal direction and a lower packing density at the lateral edges of the circular bottom. Owing to the buoyancy effect, heavier grains easily sink first at the resonant spots with higher temperature.

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Section: Introductionmentioning

confidence: 68%

Resonance-induced acceleration of the RBNE-BNE segregation inversion of granular mixtures

Shao¹,

Li²,

Wang³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…48,49 They concluded that a granular bed has a natural resonant frequency according to grains' density and size. This intrinsic characteristic was validated by subsequent experiments, 50,51 in which continuous input energy led to a series of periodical resonant waves. Furthermore, the saw-tooth bottom exerts a great influence on the induced horizontal flow of grains due to resonance.…”

mentioning

confidence: 68%

“…consideration. 30,37,51,[56][57][58] As sketched in Figure 9A, no energy from vertical to horizontal directions is transferred because of the collision between the grain and the flat bottom. The grains far from the bottom mainly obtain the agitated energy in horizontal direction by frequent grain-grain collisions.…”

Section: (A) (B)mentioning

confidence: 99%

“…For the development of the resonant effect, one precondition is the energy transfer from the vertical vibration of the container to the horizontal motion of the grains, which stems from frequent grain–grain and grain–bottom collisions. The rotational degree of freedom is always ignored for the theoretical consideration 30,37,51,56–58 . As sketched in Figure 9A, no energy from vertical to horizontal directions is transferred because of the collision between the grain and the flat bottom.…”

Section: Acceleration Mechanism Of the Segregation Inversion And Disc...mentioning

confidence: 99%

“…As discussed in Ref. 51, the former may be more suitable for the mild vibration conditions, whereas the latter is a good choice for a strong vibration intensity because the intrinsic length scale needs to be considered. In this work, f and

Γ

are set to 20 Hz and 3.8, respectively.…”

Section: Experimental Setup and Simulation Modelmentioning

confidence: 99%

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Resonance‐induced acceleration of theRBNE‐BNEsegregation inversion

Shao

Wang

et al. 2023

AIChE Journal

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The experimental and simulation results indicate that the reverse Brazil nut effect (RBNE)-Brazil nut effect (BNE) segregation inversion happens faster in the circularbottom container than that in the flat-bottom container. The starting location of the sinkage of heavier grains at the top layer is triggered with certain randomness in the latter, whereas it first occurs at either of the lateral edges of the bottom in the former. The occurrence of standing-wave resonant spots of higher and lower granular temperature accelerates the RBNE-BNE transition. From the elastic collision model of single grain, the bottom with a larger angle leads to more energy transfer from the vertical direction. The simulation results of a monodisperse granular bed confirm that the circular-bottom container possesses a higher granular temperature and a lower packing density at the lateral edges of the circular bottom, whereas the flat-bottom container has a uniform distribution with a standing-wave period.

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Laminar and turbulent flows in a vibrated granular system

Cai

Miao

2021

Powder Technology

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Resonant phenomena and mechanism in vibrated granular systems

Cited by 7 publications

References 44 publications

Resonance-induced acceleration of the RBNE-BNE segregation inversion of granular mixtures

Resonance-induced acceleration of the RBNE-BNE segregation inversion of granular mixtures

Resonance‐induced acceleration of theRBNE‐BNEsegregation inversion

Laminar and turbulent flows in a vibrated granular system

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