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二维料仓中的软颗粒堵塞

Soft particle clogging in two-dimensional hoppers.

作者信息

Tao Ran, Wilson Madelyn, Weeks Eric R

机构信息

Department of Physics, Emory University, Atlanta, Georgia 30322, USA.

出版信息

Phys Rev E. 2021 Oct;104(4-1):044909. doi: 10.1103/PhysRevE.104.044909.

Abstract

We study the outflow of soft particles through quasi-two-dimensional hoppers with both experiments and simulations. The experiments utilize spheres made with hydrogel, silicone rubber, and glass. The hopper chamber has an adjustable exit width and tilt angle (the latter to control the magnitude of gravitational forcing). Our simulation mimics the experiments using purely two-dimensional soft particles with viscous interactions but no friction. Results from both simulations and experiments demonstrate that clogging is easier for reduced gravitational force or stiffer particles. For particles with low or no friction, the average number of particles in a clogging arch depends only on the ratio between hopper exit width and the mean particle diameter. In contrast, for the silicone rubber particles with larger frictional interactions, arches have more particles than the low friction cases. Additionally, an analysis of the number of particles left in the hopper when clogging occurs provides evidence for a hydrostatic pressure effect that is relevant for the clogging of soft particles, but less so for the harder (glass) or frictional (silicone rubber) particles.

摘要

我们通过实验和模拟研究了软颗粒通过准二维料斗的流出情况。实验使用了由水凝胶、硅橡胶和玻璃制成的球体。料斗腔有一个可调节的出口宽度和倾斜角度(后者用于控制重力强迫的大小)。我们的模拟使用纯二维软颗粒且具有粘性相互作用但无摩擦来模拟实验。模拟和实验结果均表明,对于减小的重力或更硬的颗粒,堵塞更容易发生。对于摩擦力低或无摩擦的颗粒,堵塞拱中的平均颗粒数仅取决于料斗出口宽度与平均颗粒直径的比值。相比之下,对于具有较大摩擦相互作用的硅橡胶颗粒,拱中的颗粒比低摩擦情况更多。此外,对堵塞发生时料斗中剩余颗粒数量的分析提供了证据,表明存在与软颗粒堵塞相关的静水压力效应,但对较硬(玻璃)或有摩擦(硅橡胶)颗粒的堵塞影响较小。

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