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运用有限扩散凝聚模型对絮凝体的成长过程进行了三维模拟。在三维空间下,分别运用密度函数法、球体的回转半径法、沉降法推导了均匀沙、非均匀沙絮凝体分形维数的计算方法,建立模型计算并比较了各分形维数方法的计算值。结果表明:三种方法计算得出的分形维数均为1.75~2.19,回转半径法得到的分形维数略大于密度函数法和沉降法;均匀沙、非均匀沙维数均随颗粒数的增加而降低;非均匀沙絮团的分形维数略大于均匀沙絮团维数值。研究结果对黄河等高浊度细颗粒含沙水流的治理与处理具有一定的理论和实际应用价值。
The finite element model of flocculation was used to simulate the growth of flocs. In the three-dimensional space, the fractal dimension of uniform sand and inhomogeneous sediment was deduced by using the density function method, the radius of gyration of the sphere and the sedimentation method respectively. The calculated values of each fractal dimension method were compared and calculated . The results show that the fractal dimensions calculated by the three methods are all from 1.75 to 2.19. The fractal dimension obtained by the radius of gyration method is slightly larger than that of the density function method and the sedimentation method. The average sand and non-uniform sand dimension increase with the number of particles But decreased. The fractal dimension of non-uniform flocks was slightly larger than that of uniform flocks. The results of this study have certain theoretical and practical value for the treatment and treatment of sandy silt flow with high turbidity and fine particles in the Yellow River.