Reducing segregation in vibrated binary-sized granular mixtures by excessive small particle introduction

IF 2.4 3区工程技术 Granular Matter Pub Date : 2024-11-20 DOI:10.1007/s10035-024-01476-6

Fumiaki Nakai, Kiwamu Yoshii

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Abstract

We numerically examine binary-sized granular mixtures confined between two parallel walls subjected to vertical vibration using the discrete element method. For a size ratio of 3 between large and small particles, we study the structure of large particles in moderately dense regimes where the combined two-dimensional packing fractions of both particle sizes exceed 1. When the fraction of small particles is small, segregation of the large particles occurs. In contrast, as the fraction of small particles increases, an effective repulsion between the large particles emerges over distances greater than the large particle diameter, suppressing their segregation. The emergence of reduction in segregation is confirmed for another size ratio, vibrational acceleration, system size, and for a case of bidisperse size distribution. Additionally, at the size ratio of 3, the effective repulsion induces a hexagonal phase of the large particles at packing fractions lower than in mono-component systems. This work will provide a fresh insight into granular physics, prompting further experimental and theoretical study.

Graphical Abstract

This article numerically investigates the structures of quasi-two-dimensional binary-sized granular mixtures under vibration, and finds that segregation is reduced with increasing packing fraction of small particles

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通过过度引入小颗粒减少振动双元粒状混合物中的偏析现象

我们使用离散元方法对封闭在两平行壁之间、受到垂直振动的二元颗粒混合物进行了数值研究。当大颗粒和小颗粒的尺寸比为 3 时，我们研究了大颗粒在中等密度状态下的结构，此时两种颗粒尺寸的二维堆积分数之和超过 1。相反，随着小颗粒比例的增加，大颗粒之间会在大于大颗粒直径的距离上产生有效斥力，从而抑制它们的分离。偏析减少的现象在另一种粒度比、振动加速度、系统粒度以及双分散粒度分布的情况下都得到了证实。此外，在粒度比为 3 时，有效斥力诱导大颗粒形成六方相，其堆积分数低于单组分系统。本文通过数值方法研究了振动下准二维二元粒状混合物的结构，发现偏析会随着小颗粒堆积分数的增加而减少。

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来源期刊

Granular Matter MATERIALS SCIENCE, MULTIDISCIPLINARY-MECHANICS

CiteScore

4.30

自引率

8.30%

发文量

期刊介绍： Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.