Fluid-mediated sources of granular temperature at finite Reynolds numbers
Fluid-mediated sources of granular temperature at finite Reynolds numbers
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DOI：
10.1017/jfm.2022.351
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发表时间：
2021-08
影响因子：
3.7
通讯作者：
A. Lattanzi;Vahid Tavanashad;S. Subramaniam;J. Capecelatro
中科院分区：
文献类型：
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作者：
A. Lattanzi;Vahid Tavanashad;S. Subramaniam;J. Capecelatro
摘要我们推导了有限雷诺数下中等密度弹性颗粒悬浮液中流体动力学源和汇到颗粒温度的解析解。用朗之万方程模拟相邻诱导阻力扰动，可以得到联合脉动加速度-速度分布函数P（v^{\prime }，a^{\prime };t）的精确解。象限条件的协方差积分$P（v^{\prime }，a^{\prime };t）$产生的流体动力学源和汇，决定了颗粒温度的演变，可用于欧拉双流体模型。分析预测同意从粒子分辨直接数值模拟的基准数据，并显示作为一个一般的理论，从气固泡状流的承诺。
Abstract We derive analytical solutions for hydrodynamic sources and sinks to granular temperature in moderately dense suspensions of elastic particles at finite Reynolds numbers. Modelling the neighbour-induced drag disturbances with a Langevin equation allows an exact solution for the joint fluctuating acceleration–velocity distribution function $P(v^{\prime },a^{\prime };t)$. Quadrant-conditioned covariance integrals of $P(v^{\prime },a^{\prime };t)$ yield the hydrodynamic source and sink that dictate the evolution of granular temperature that can be used in Eulerian two-fluid models. Analytical predictions agree with benchmark data from particle-resolved direct numerical simulations and show promise as a general theory from gas–solid to bubbly flows.