arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1302.0572cond-mat.softnlin.PS
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低密度颗粒流与周围流体相互作用的简单颗粒模型

Simple particle model for low-density granular flow interacting with ambient fluid

Hirofumi Niiya, Akinori Awazu, Hiraku Nishimori

摘要:

为了理解低密度颗粒流中斑图形成的过程,我们提出了一个简单的颗粒模型。该模型考虑球形颗粒基于三种力在倾斜平面上移动:重力作为驱动力,由于颗粒碰撞产生的排斥力,以及作为颗粒通过周围流体的相互作用的阻力。该模型的数值模拟在两种不同类型的二维平面中进行,即,处理单层。在平行于斜坡的水平面内,颗粒在颗粒流的运动前沿聚集,随后,流动不稳定性以波浪形模式发生。这种流型是由拖曳力引起的颗粒间相互作用引起的。此外,在聚集体内部形成颗粒的涡旋对流。同时,在坡面上的垂直面内,在颗粒流的运动前沿也发现了颗粒的聚集现象。聚集体类似于头-尾结构,其中随着时间的推移,对斜坡的正面角度从更大的角度接近60度。通过改变颗粒尺寸的数值结果比较,颗粒流的定性动力学与尺寸无关。为了阐明这个原因,我们对这个模型进行了无量纲化。结果表明,我们的模型可以简化为一个无量纲的方程,一个无量纲的参数,代表的比例,重力项的排除体积效应。

英文摘要:

To understand the process of pattern formation in a low-density granular flow, we propose a simple particle model. This model considers spherical particles moving over an inclined flat surface based on three forces: gravity as the driving force, repulsive force due to particle collision, and drag force as the particle-- interaction through the ambient fluid. Numerical simulations of this model are conducted in two different types of two-dimensional planes, i.e., the monolayer was treated. In the horizontal plane parallel to the slope, particles aggregate at the moving front of the granular flow; and subsequently, flow instability occurs as a wavy pattern. This flow pattern is caused by the interparticle interaction arising from the drag force. Additionally, a vortex convection of particles is formed inside the aggregations. Meanwhile, in the vertical plane on the slope, particle aggregation is also found at the moving front of the granular flow. The aggregation resembles a head--tail structure, where the frontal angle against the slope approaches 60 degree from a larger angle as time progresses. Comparing the numerical result by varying the particle size, the qualitative dynamics of the granular flow are independent of size. To elucidate this reason, we perform a nondimensionalization for this model. The result indicates that our model can be simplified to dimensionless equations with one dimensionless parameter that represents the ratio of the gravity term to the excluded volume effect.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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