基于CFD−DEM耦合法的絮团分形成长行为研究

Study on the Fractal Growth Behavior of Flocs by the CFD−DEM Coupling Approach

  • 摘要: 絮团分形结构特征对絮团沉降和压密脱水行为有着重要的影响,目前传统实验方法难以精确解析微观絮凝过程。为了克服这一局限性难题,基于计算流体力学−离散元法(Computational Fluid Dynamic−Discrete Element Method,CFD−DEM)耦合,在实验验证基础上建立了絮团分形成长数值模型。应用所建立的数值模型,对实验型絮凝搅拌器典型区域内微细矿物颗粒絮凝行为进行了数值模拟研究。通过考察不同搅拌转速条件下颗粒配位数统计量、絮团的空隙率、絮团的有效密度等重要参数,揭示絮团的分形成长演变规律、运动变化规律以及沉降机制。结果表明:固定搅拌转速下且颗粒配位数小于3时,颗粒配位数和搅拌转速总体呈正相关性;颗粒配位数大于5时,颗粒配位数和搅拌转速呈负相关性;在研究搅拌转速范围内(250−450 r/min),絮团平均粒径随搅拌转速增加而降低,空隙率随絮团中子颗粒数的增加而增加,而有效密度与絮团等效直径呈幂减函数关系。研究结果不仅为深入理解絮团分形成长机制以及过程调控提供理论依据,同时对絮凝工艺过程强化提供技术指导。

     

    Abstract: The fractal structure characteristics of flocs have a significant impact on floc sedimentation and compaction dewatering behavior. Currently, conventional experimental methods struggle to accurately analyze the micro−flocculation process. To overcome this limitation, a numerical model and simulation approach of floc fractal growth was established by the Computational Fluid Dynamic−Discrete Element Method (CFD−DEM) coupling approach based on the experiment validation. By employing the proposed numerical model, the flocculation behavior of fine mineral particles in a typical zone of a lab−scale flocculation stirrer was numerically investigated. The typical zone was identified at the outer edge of the impeller, which exhibits the highest turbulent intensity. By analyzing important parameters such as the statistical number of particle coordination number, the voidage and effective density of flocs under different stirring speeds, the fractal growth and evolution laws of flocs, the motion behavior of flocs and the settling mechanisms were revealed deeply. The results show that under a certain stirring speed, when the particle coordination number is less than 3, there is a positive correlation between the particle coordination number and the stirring speed; When the particle coordination number is greater than 5, there is a negative correlation. Within the range of studied stirring speeds from 250 r/min to 450 r/min, the mean floc size presents a decreasing tend with the increase in stirring speed. The voidage of flocs is positively correlated with the number of sub−particles in the flocs, exactly exhibiting a power function relationship with an exponent less than 1. However, the effective density is in a power−law decreasing function relationship with the equivalent diameter of flocs. This study can not only provide a strong theoretical basis for a deeper understanding of the mechanism of fractal growth of flocs and flocculation process regulation, but also provide the technical guidance for the industrial flocculation process.

     

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