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振动颗粒床中的反向浮力:计算机模拟

Reverse buoyancy in a vibrated granular bed: Computer simulations.

作者信息

Idler Vladimir, Sánchez Iván, Paredes Ricardo, Botet Robert

机构信息

Departamento de Física, Universidad Simón Bolívar, Apartado 89000, Caracas 1080-A, Venezuela.

出版信息

Eur Phys J E Soft Matter. 2012 Oct;35(10):106. doi: 10.1140/epje/i2012-12106-x. Epub 2012 Oct 24.

DOI:10.1140/epje/i2012-12106-x
PMID:23096151
Abstract

We have performed molecular dynamics simulations of an intruder in a vibrated granular bed including interstitial fluid effects to account for the phenomenon of reverse buoyancy. We show that our model is able to reproduce the overall behaviour observed by previous experimental works and is the first finite-elements simulation to show the sinking of intruders lighter than the granular bed. To further advance our comprehension of this phenomenon, we studied the motion of the intruders in a single vibration cycle with respect to the bottom of the granular column, finding a substantial qualitative difference for heavy and light intruders and we compare these results with experiments using fine-sized glass beads. We show that, though heavy intruders seem unaffected by the force due to the fluid, the effect on light intruders is remarkable.

摘要

我们对振动颗粒床中的侵入体进行了分子动力学模拟,其中包括间隙流体效应,以解释反向浮力现象。我们表明,我们的模型能够重现先前实验工作中观察到的整体行为,并且是第一个显示比颗粒床轻的侵入体下沉的有限元模拟。为了进一步加深我们对这一现象的理解,我们研究了侵入体在单个振动周期内相对于颗粒柱底部的运动,发现重侵入体和轻侵入体存在显著的定性差异,并将这些结果与使用细粒度玻璃珠的实验进行了比较。我们表明,虽然重侵入体似乎不受流体作用力的影响,但对轻侵入体的影响却很显著。

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1
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本文引用的文献

1
Sinking of light intruders in a shaken granular bed.摇晃颗粒床中轻质侵入体的沉降
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Jun;81(6 Pt 1):062301. doi: 10.1103/PhysRevE.81.062301. Epub 2010 Jun 23.
2
Effects of gas flow on granular size separation.气流对颗粒粒度分离的影响。
Phys Rev Lett. 2010 May 7;104(18):188001. doi: 10.1103/PhysRevLett.104.188001. Epub 2010 May 3.
3
Three-dimensional simulations of a vertically vibrated granular bed including interstitial air.包含间隙空气的垂直振动颗粒床的三维模拟。
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 May;79(5 Pt 1):051301. doi: 10.1103/PhysRevE.79.051301. Epub 2009 May 6.
4
Dynamics and structures of segregation in a dense, vibrating granular bed.致密振动颗粒床中分离的动力学与结构
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Dec;74(6 Pt 1):061307. doi: 10.1103/PhysRevE.74.061307. Epub 2006 Dec 18.
5
Granular species segregation under vertical tapping: effects of size, density, friction, and shaking amplitude.垂直敲击下颗粒物种的分离:尺寸、密度、摩擦力和振动幅度的影响。
Phys Rev Lett. 2006 Feb 10;96(5):058001. doi: 10.1103/PhysRevLett.96.058001. Epub 2006 Feb 8.
6
Energy partition and segregation for an intruder in a vibrated granular system under gravity.重力作用下振动颗粒系统中侵入体的能量分配与分离
Phys Rev Lett. 2005 Aug 26;95(9):098001. doi: 10.1103/PhysRevLett.95.098001. Epub 2005 Aug 23.
7
Effect of air on granular size separation in a vibrated granular bed.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jul;72(1 Pt 1):011304. doi: 10.1103/PhysRevE.72.011304. Epub 2005 Jul 22.
8
Intruders in the dust: air-driven granular size separation.
Phys Rev Lett. 2004 Nov 5;93(19):198001. doi: 10.1103/PhysRevLett.93.198001. Epub 2004 Nov 1.
9
Vibration-induced granular segregation: a phenomenon driven by three mechanisms.
Phys Rev Lett. 2004 Mar 19;92(11):114301. doi: 10.1103/PhysRevLett.92.114301. Epub 2004 Mar 18.
10
Numerical simulations of air-driven granular separation.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Nov;68(5 Pt 1):050301. doi: 10.1103/PhysRevE.68.050301. Epub 2003 Nov 18.