Unified theory for a sheared gas–solid suspension: from rapid granular suspension to its small-Stokes-number limit
Unified theory for a sheared gas–solid suspension: from rapid granular suspension to its small-Stokes-number limit
复制标题
剪切气固悬浮液的统一理论：从快速颗粒悬浮液到其小斯托克斯数极限
DOI：
10.1017/jfm.2019.304
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发表时间：
2019
影响因子：
3.7
通讯作者：
R. Gupta
中科院分区：
文献类型：
--
作者：
M. Alam;S. Saha;R. Gupta
通过扩展Saha & Alam（J. Fluid Mech.，第833卷，2017年，pp. 206-246）。气固相互作用采用线性Stokes阻力定律，流体动力相互作用引起的粘性耗散通过密度修正的Stokes数纳入二阶矩方程。对于均匀剪切流，本理论提供了一个统一的治疗稀释到稠密的高度非弹性颗粒悬浮液，包括高斯托克斯数快速颗粒制度（$St\rightarrow \infty$）和它的小斯托克斯数对应，与定量协议的所有传输系数。结果表明，现有理论的基础上的剪切粘度和法向应力差的预测显着恶化，随着密度的增加，以及减少斯托克斯数和恢复系数。
A non-perturbative nonlinear theory for moderately dense gas–solid suspensions is outlined within the framework of the Boltzmann–Enskog equation by extending the work of Saha & Alam (J. Fluid Mech., vol. 833, 2017, pp. 206–246). A linear Stokes’ drag law is adopted for gas–particle interactions, and the viscous dissipation due to hydrodynamic interactions is incorporated in the second-moment equation via a density-corrected Stokes number. For the homogeneous shear flow, the present theory provides a unified treatment of dilute to dense suspensions of highly inelastic particles, encompassing the high-Stokes-number rapid granular regime ( $St\rightarrow \infty$ ) and its small-Stokes-number counterpart, with quantitative agreement for all transport coefficients. It is shown that the predictions of the shear viscosity and normal-stress differences based on existing theories deteriorate markedly with increasing density as well as with decreasing Stokes number and restitution coefficient.