Pattern-transition, microstructure and dynamics in two-dimensional vibrofluidized granular bed

Abstract

Experiments are conducted in a two-dimensional mono-layer vibrofluidized bed of glass beads, with a goal to understand the transition scenario and the underlying microstructure and dynamics in different patterned-states. At small shaking accelerations ($\Gamma =A{\omega }^2/g<1$), the particles remain attached with the base of the vibrating container -- this is known as the solid bed (SB). With increasing $\Gamma$ (at large enough shaking amplitude $A/d$) and/or with increasing $A/d$ (at large enough $\Gamma$), the sequence of transitions/bifurcations unfolds as follows: SB to BB ("bouncing bed") to LS ("Leidenfrost state") to "2-roll Convection" to "1-roll Convection" and finally to a gas-like state. For a given length of the container, the coarsening of multiple convection rolls leading to the genesis of a "single-roll" structure (dubbed the {\it multi-roll transition}), and its subsequent transition to a granular-gas are two novel findings of this work. We show that the critical shaking intensity (${\Gamma }_{BB}^{LS}$) for "$BB\to LS$"-transition has a power-law dependence on the particle loading ($F=h_0/d$, where $h_0$ is the number of particle layers at rest and $d$ is the particle diameter) and the shaking amplitude ($A/d$). The characteristics of $BB$ and $LS$ states are studied by calculating (i) the coarse-grained density and temperature profiles and (ii) the pair correlation function. It is shown that while the contact network of particles in the BB represents a hexagonal-packed structure, the contact network within the LS resembles a liquid-like state. An unsteadiness of the LS has been uncovered wherein the interface (between the floating-cluster and the dilute gas underneath) and the top of the bed are found to oscillate sinusoidally, with its oscillation frequency closely matching with the frequency of external shaking.

arXiv comment18 pages (Physical Review E)

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