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Collisional source of the second moment and pressure tensor for inhomogeneous rapid granular flows of highly inelastic spheres

机译:高非弹性球体非均匀快速颗粒流的第二矩和压力张量的碰撞源

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摘要

By extending the constitutive theories for homogeneous granular flows of highly inelastic spheres by Richman (J. Rheol 33 (1989) 1293), Chou (J. CSME 16-6 (1995) 577), and Chou and Richman (Physica A 259 (1998) 430), the collisional source of the second moment of fluctuation velocity and pressure tensor were developed in this study for inhomogeneous rapid granular flows of identical smooth highly inelastic spheres. The important mean fields in this flow are the solid fraction, mean velocity, and full second moment of fluctuation velocity. The collisional source of second moment and the collisional flux of momentum are based upon an anisotropic Maxwellian velocity distribution function. The constitutive theory was combined with the experimental results measured by Hsiau and Jang (Exp. Thermal Fluid Sci. 17 (1998) 202) so as to determine the profiles of pressure tensor and collision source of second moment in the inhomogeneous rapid granular shear flows of inelastic spheres. The normal pressure discrepancies were also observed. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 32]
机译:通过扩展Richman(J.Rheol 33(1989)1293),Chou(J.CSME 16-6(1995)577),Chou和Richman(Physica A 259(1998))的高非弹性球体均质颗粒流的本构理论430),在本研究中开发了相同速度的高度非弹性球体的不均匀快速颗粒流的第二速度波动和压力张量的碰撞源。在该流中重要的平均场是固体分数,平均速度和波动速度的全秒矩。第二矩的碰撞源和动量的碰撞通量基于各向异性的麦克斯韦速度分布函数。本构理论与Hsiau和Jang(Exp。Thermal Fluid Sci。17(1998)202)所测得的实验结果相结合,从而确定了非均匀快速颗粒剪切流中压力张量和第二矩碰撞源的分布。非弹性球体。还观察到正常压力差异。 (C)2001 Elsevier Science B.V.保留所有权利。 [参考:32]

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