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Method of Taylor Expansion Moment Incorporating Fractal Theories for Brownian Coagulation of Fine Particles

机译:结合分形理论的泰勒膨胀矩方法用于微粒的布朗凝血

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摘要

Fine particles aggregating into larger units or flocculation body is a random combination process. Increasing the size and density of flocculation body is the main approach to rapid particle removal or sedimentation in water. Aiming at the Brownian coagulation of fine particles, a new method of Taylor expansion moment construction of fractal flocs has been developed in this paper, incorporating the Taylor expansion approach based on the moment method and the fractal dimension of the floc structure originated from fractal theories. This method successfully overcomes the limit of previous moment methods that require pre-assumed particle size distribution. Results of the zero and second order moments of Brownian flocs from the proposed method are compared with those from the Laguerre method, integral moment method and finite element method. It is found that the higher accuracy and efficiency of computation have been achieved by the new method, compared to the previous ones. Effects of the fractal dimension on the zero and second order moments, geometric average volume and standard deviation are also analyzed using this method. The self-conservation characteristics of particle distribution is observed without presumption of initial distributions.
机译:细颗粒聚集成较大的单元或絮凝体是随机组合过程。增加絮凝体的大小和密度是快速去除水中的颗粒或沉降的主要方法。针对细颗粒的布朗凝聚,本文提出了一种新的分形絮凝物泰勒膨胀矩构造方法,该方法结合了基于矩量法的泰勒膨胀法和源自分形理论的絮体结构的分形维数。该方法成功地克服了以前的矩方法的局限性,该方法需要预先假定的粒径分布。将所提方法的布朗絮状物的零阶矩和二阶矩结果与拉盖尔方法,积分矩方法和有限元方法的结果进行了比较。发现与以前的方法相比,新方法已经实现了更高的计算精度和效率。分形维数对零阶和二阶矩,几何平均体积和标准偏差的影响也使用该方法进行了分析。在不假定初始分布的情况下观察到了颗粒分布的自保守特性。

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