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arXiv 2005.09887cond-mat.softphysics.flu-dyn
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沿斜坡向下的高速受限颗粒流的再研究

High-speed confined granular flows down inclines revisited

Y. Zhu, R. Delannay, A. Valance

摘要:

最近的数值研究表明,沿斜坡向下的高速受限颗粒流表现出多种流型,包括致密单向流、纵向涡流流和支撑流,其特征在于被稀释的热颗粒气体包围的致密核心(Brodu等人,JFM 2015)。在这里,我们重新审视了Brodu等人获得的结果。(JFM,2015),并提出了表征这些流动的新特征。特别是,我们提供了垂直和横向的档案的包装分数,速度和颗粒的温度。我们还仔细描述了不同的流动状态之间的过渡,并表明,包装分数和涡量可以成功地用来描述这些过渡。此外,我们强调,在基底和侧壁的有效摩擦可以描述由一个独特的功能的无量纲数,这是一个模拟的弗劳德数:$Fr=V/\sqrt{gH\cos θ}$其中$V$是颗粒速度在墙壁上,$θ$是倾角和$H$的颗粒滞留(定义为深度积分颗粒体积分数)。该通用函数与稠密颗粒流的$μ(I)$流变曲线有相似之处。

英文摘要:

Recent numerical work has shown that high-speed confined granular flows down inclines exhibit a rich variety of flow patterns, including dense unidirectional flows, flows with longitudinal vortices and supported flows characterized by a dense core surrounded by a dilute hot granular gas (Brodu et al, JFM 2015). Here, we revisit the results obtained by Brodu et al. (JFM, 2015) and present new features characterizing these flows. In particular, we provide vertical and transverse profiles for the packing fraction, velocity and granular temperature.We also characterize carefully the transition between the different flow regimes and show that the packing fraction and the vorticity can be successfully used to describe these transitions. Additionally, we emphasize that the effective friction at the basal and side walls can be described by a unique function of a dimensionless number which is the analog of a Froude number: $Fr=V/\sqrt{gH\cos θ}$ where $V$ is the particle velocity at the walls, $θ$ is the inclination angle and $H$ the particle holdup (defined as the depth-integrated particle volume fraction). This universal function bears some similarities with the $μ(I)$ rheological curve derived for dense granular flows.

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