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Kinetic theories of rapid granular flows of highly inelastic particles

机译：高弹性颗粒快速颗粒流动的动力学理论

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We review kinetic theories for rapid granular flows of highly inelastic spheres, which includes Richman (1989) for dilute limit of homogeneous shear flows, Richman and Marciniec (1989) for homogeneous shear flows. Chou (1995) for dense limit of homogeneous shear flows, and Chou and Richman (1996) for homogeneous shear flows. Different forms of single particle velocity distribution function, which is employed to derive the collisional production of the kinetic theory, are discussed, respectively. By comparing theoretical results by Richman and Marciniec (1989) with the computer simulation results by Hopkins and Shen (1992), it show that this simple theory could not precisely predict the flowing behavior of granular material in the highly dissipative systems. On the other hand, the theoretical results by Chou and Richman (1996) is in good agreement with numericla simulations carried out by Hopkins and Shen (1992). Most Striking, normal stress discrepancies which increase with particle inelasticity are observed by above kinetic theories.
机译：我们回顾了高度非弹性球体的快速颗粒流动的动力学理论，其中包括Richman（1989）的均质剪切流的稀释极限，Richman和Marciniec（1989）的均质剪切流。 Chou（1995）表示均质剪切流的密度极限，Chou和Richman（1996）表示均质剪切流。分别讨论了用于导出动力学理论碰撞产生的单粒子速度分布函数的不同形式。通过将Richman和Marciniec（1989）的理论结果与Hopkins和Shen（1992）的计算机模拟结果进行比较，表明该简单理论不能精确地预测高耗散系统中颗粒物质的流动行为。另一方面，Chou和Richman（1996）的理论结果与Hopkins和Shen（1992）进行的数值模拟非常吻合。通过上述动力学理论，可以观察到大多数与颗粒非弹性有关的惊人的法向应力差异。

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