基于统计力学和无标度网络框架分析了絮凝过程,并从物理角度导出了絮体的分形结构,探讨了分形维数与外界控制条件的关系.在此基础之上,根据能量守恒对模型进行了理论计算,发现在湍流条件或外界能量交换强烈的情况下,分形维数较高;反之,若在层流条件或能量交换较弱的条件下,则分形维数较低.将理论计算结果与实验结果进行比较,二者较为一致.
A new statistical dynamic framework was employed to analyze coagulation processes. The fractal dimensions of floc structure were physically derived, and the relationship between fractal dimensions and certain controlling factors is discussed. In order to check the reliability of the theoretical framework, theoretical calculations are provided and compared with experimental results. This paper not only gives a reasonable description of floc structure but also reveals the dynamic mechanisms of floc formation.