Abstract A dynamic cluster structure-dependent (CSD) drag coefficient model is proposed to be consistent with the temporal-spatial characteristics of dynamic clusters through the convective accelerations and temporal accelerations of the dense phase and the dilute phase. The CSD drag coefficient is determined by a nonlinear micro-meso-grid scales equation set which consists of three momentum conservation equations, two mass balance equations, one equation for volume fraction balance, and an extreme value of a function in combination with the bivariate extreme value (BEV) theory. Flow behavior of gas and particles is predicted by means of gas-solid two-fluid model coupled with CSD drag model and kinetic theory of granular flow. The distributions of independent variables of dense phase and dilute phase are predicted in the riser. Numerical analysis suggests that the inertial difference between the dense phase and the dilute phase affects flow behavior of dynamically temporal-spatial clusters in risers. The simulated solids volume fraction, cluster existence time fraction and frequency of cluster occurrence are compared to experimental measurements in the literature.

中文翻译：

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应用于气固立管的动态簇状结构相关阻力系数模型

摘要 通过稠相和稀相的对流加速度和时间加速度，提出了一种动态团簇结构相关（CSD）阻力系数模型，以符合动态团簇的时空特性。CSD 阻力系数由非线性微细网格尺度方程组确定，该方程组由三个动量守恒方程、两个质量平衡方程、一个体积分数平衡方程和一个函数的极值与双变量极值组成价值（BEV）理论。利用气固二流模型结合CSD拖曳模型和颗粒流动力学理论预测气体和颗粒的流动行为。在立管中预测了密相和稀相自变量的分布。数值分析表明，密相和稀相之间的惯性差异​​会影响立管中动态时空簇的流动行为。将模拟的固体体积分数、簇存在时间分数和簇出现频率与文献中的实验测量值进行比较。