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本文采用有限扩散集团凝聚(Diffusion-Limited Cluster-Cluster Aggregation,DLCA)模型,编写反应概率置限二维DLCA模型程序,模拟絮凝体分形生长过程,计算其分形维数和空隙率等参数,探究在反应概率各向同性及各向异性条件下不同反应概率对絮凝体分形模拟结果的影响。在反应概率控制下的分形模拟更加符合实际絮凝体的生长过程,该模拟方法对探究絮凝体的生长机理及提高沉降分离效率有重要的理论指导价值。模拟结果表明:反应概率对絮凝体的形态及分形特征影响较大,反应概率越小,絮凝体团簇尺寸越小,团簇数目越多,团簇分布越稀疏,表现为空隙率增大,分形维数减小;反应概率越大,絮凝体团簇尺寸越大,团簇数目越少,团簇分布越密集,表现为空隙率减小,分形维数增大;反应概率各向异性直接影响絮凝体的形貌,絮凝体会偏向反应概率较大的方向聚集生长,絮凝体团簇形状十分细长,团簇数目较少,团簇分布较密集,但偏向不同方向生长絮凝体的分形维数相差不大,是同一性质的分形。
In this paper, a DLCA model based on the Diffusion-Limited Cluster-Cluster Aggregation (DLCA) model was established to simulate the fractal growth of flocs and calculate the fractal dimension and porosity of the flocs. Effect of Different Reaction Probabilities on Fractal Simulation Results of Flocs under Isotropic and Anisotropic Reacting Conditions. The fractal simulation under the control of reaction probability is more in line with the actual floc growth process. The simulation method has important theoretical guiding value for exploring the growth mechanism of flocs and improving the separation efficiency. The simulation results show that the reaction probability has a great influence on the morphology and fractal characteristics of the flocs. The smaller the reaction probability, the smaller the size of the flocs. The larger the number of the flocs, the more sparse the clusters. The porosity increases, The fractal dimension decreases. The larger the reaction probability, the larger the size of the flocs. The smaller the number of the clusters, the more dense the clusters. The porosity decreases and the fractal dimension increases. The anisotropy of reaction probability The flocs will tend to aggregate and grow in the direction of larger reaction probability. The shape of the flocs is very slender, the number of clusters is small, the clusters are densely distributed, but the fractal dimension The difference between the number of small, is the same nature of the fractal.