Toward a mesoscale-structure-based kinetic theory for heterogeneous gas-solid flow: Particle velocity distribution function
Toward a mesoscale-structure-based kinetic theory for heterogeneous gas-solid flow: Particle velocity distribution function
复制标题
DOI：
10.1002/aic.15244
复制
发表时间：
2016-08
期刊：
影响因子：
3.7
通讯作者：
Junwu Wang;Bidan Zhao;Jinghai Li
中科院分区：
文献类型：
--
作者：
Junwu Wang;Bidan Zhao;Jinghai Li
介观科学最近被提出作为描述远离平衡态的复杂系统的一个可能的一般概念，然而，需要具体的公式，特别是，介观科学的统计力学基础仍有待探索。为此，将随机几何的数学理论与中观科学概念下的能量最小化多尺度（EMMS）原理相结合，提出了一个统计力学框架。基于EMMS的粒子速度分布函数，然后作为一个例子，以显示所提出的框架是如何工作的，更重要的是，作为第一个关键的一步，对非均质气固流动的广义动力学理论。结果表明，基于EMMS的分布是双峰分布，而不是广泛使用的麦克斯韦分布，但它降低到麦克斯韦分布时，气固系统是均匀的。最后，通过与文献中的实验数据进行比较，验证了基于EMMS的分布预测的固体浓度波动和颗粒温度的方差。© 2016美国化学工程师学会AIChE J，62：2649-2657，2016
Mesoscience has recently been proposed as a possible general concept for describing complex systems far from equilibrium, however, concrete formulations are needed, and particularly, a statistical mechanics foundation of mesoscience remains to be explored. To this end, the mathematical theory of stochastic geometry is combined with the energy minimization multi-scale (EMMS) principle under the concept of mesoscience to propose a statistical mechanics framework. An EMMS-based particle velocity distribution function is then derived as an example to show how the proposed framework works, and more importantly, as a first key step toward a generalized kinetic theory for heterogeneous gas-solid flow. It was shown that the resultant EMMS-based distribution is bimodal, instead of the widely-used Maxwellian distribution, but it reduces to the Maxwellian distribution when the gas-solid system is homogeneous. The EMMS-based distribution is finally validated by comparing its prediction of the variance of solid concentration fluctuation and granular temperature with experimental data available in literature. © 2016 American Institute of Chemical Engineers AIChE J, 62: 2649–2657, 2016