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Constitutive theory for homogeneous granular shear flows of highly inelastic spheres

机译：高非弹性球体均质颗粒剪切流的本构理论

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A constitutive theory is developed in this present steady, homogeneous, granular shear flows of identical, smooth and highly inelastic spheres. The important mean fields in these flows are the solid fraction, mean velocity and full second moment of fluctuation velocity. The constitutive theory, which consists of the pressure tensor and the collisional source of second moment, is based upon an anisotropic Maxwellian velocity distribution function. The constitutive relation for the pressure tensor contains contribution coming from both kinetic transport between collisions and collisional transport between particles. Consequently, it applies toward the full range of the solid fractions. The constitutive theory is combined in this study with the balance equation for full second moment so as to determine each component of the second moment and the pressure tensor. Most strikingly, normal pressure discrepancies, which increase with particle inelasticity, are observed here. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 16]
机译：本构理论是在目前存在的，均匀，光滑和高度非弹性球体的稳定，均质，颗粒状剪切流中发展的。在这些流中，重要的平均场是固体分数，平均速度和全二阶波动速度。由压力张量和第二矩的碰撞源组成的本构理论基于各向异性麦克斯韦速度分布函数。压力张量的本构关系包含来自碰撞之间的动力学传输和粒子之间的碰撞传输的贡献。因此，它适用于固体成分的整个范围。在本研究中，本构理论与第二个完整力矩的平衡方程相结合，以确定第二个力矩的各个组成部分和压力张量。最引人注目的是，这里观察到常压差异，该差异随颗粒的非弹性而增加。 （C）1998 Elsevier Science B.V.保留所有权利。 [参考：16]

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