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水浸颗粒床的法拉第倾斜

Faraday tilting of water-immersed granular beds.

作者信息

Milburn R J, Naylor M A, Smith A J, Leaper M C, Good K, Swift Michael R, King P J

机构信息

School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1 Pt 1):011308. doi: 10.1103/PhysRevE.71.011308. Epub 2005 Jan 28.

Abstract

Under low-frequency vertical vibration, a system of fine grains within a fluid is observed to tilt or to form piles, an effect studied by Faraday for grains in air. Here, we investigate the physical mechanisms behind Faraday tilting in a bed of vertically vibrated bronze spheres fully immersed in water. Experimental observations of surface tilting and bulk convection are compared with the results of molecular dynamics simulations in which the water is treated as an incompressible fluid. Our simulations reproduce the main features observed experimentally. Most tilt construction is shown to be due to horizontal fluid flow within the bed, principally occurring when the gap between the bed and the supporting platform is close to a maximum. Tilt destruction occurs by granular surface flow and in the bulk of the bed at times during each vibratory cycle close to and just later than bed impact. Destruction becomes more important for higher values of frequency and vibration amplitude, leading to lower tilt angles, partial tilting, or the symmetric domed geometry of Muchowski flow.

摘要

在低频垂直振动下,观察到流体中细颗粒系统会倾斜或形成堆积,法拉第曾针对空气中的颗粒研究过这种效应。在此,我们研究完全浸没在水中的垂直振动青铜球床中法拉第倾斜背后的物理机制。将表面倾斜和整体对流的实验观测结果与分子动力学模拟结果进行比较,在模拟中把水视为不可压缩流体。我们的模拟再现了实验观测到的主要特征。结果表明,大多数倾斜结构是由床内的水平流体流动引起的,主要发生在床与支撑平台之间的间隙接近最大值时。在每个振动周期中,靠近床撞击时刻及撞击后不久,颗粒表面流动和床体内部会出现倾斜破坏。对于较高的频率和振动幅度值,破坏变得更加重要,导致倾斜角度变小、部分倾斜或出现穆乔夫斯基流的对称圆顶几何形状。

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