arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1306.6279cond-mat.soft
收藏

颗粒料仓卸料的连续介质模拟:粘塑性流动定律的验证试验

Continuum simulation of the discharge of the granular silo: a validation test for the mu(I)-visco-plastic flow law

L. Staron, P. -Y. Lagrée, S. Popinet

摘要:

使用连续Navier-Stokes方程求解器,采用mu(I)流动定律模拟粘性行为,以及离散接触动力学算法,从排放的早期阶段直到材料完全释放,在二维上模拟颗粒筒仓的排放。在这两种情况下,Beverloo缩放恢复。首先,我们不试图定量比较,但专注于定性行为的速度和压力在不同位置的流动。一个很好的协议是在快速流动的地区,而缓慢蠕变的地区没有完全捕获的连续模型。压力场显示出一般良好的协议。自由表面的演变意味着差异,然而,在这两种方法中,体变形基本上是相同的。系统地研究了μ(I)-流动定律的参数的影响,显示了依赖于惯性数I的重要性,以实现连续和离散放电之间的定量协议。连续模型的一般能力,以再现定性的颗粒行为被发现是非常令人鼓舞的。

英文摘要:

Using both a continuum Navier-Stokes solver, with the mu(I)-flow-law implemented to model the viscous behavior, and the discrete Contact Dynamics algorithm, the discharge of granular silos is simulated in two dimensions from the early stages of the discharge until complete release of the material. In both cases, the Beverloo scaling is recovered. We first do not attempt quantitative comparison, but focus on the qualitative behavior of velocity and pressure at different locations in the flow. A good agreement is obtained in the regions of rapid flows, while areas of slow creep are not entirely captured by the continuum model. The pressure field shows a general good agreement. The evolution of the free surface implies differences, however, the bulk deformation is essentially identical in both approaches. The influence of the parameters of the mu(I)-flow-law is systematically investigated, showing the importance of the dependence on the inertial number I to achieve quantitative agreement between continuum and discrete discharge. The general ability of the continuum model to reproduce qualitatively the granular behavior is found to be very encouraging.

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。

↑