Mathematical modeling and analysis of the flocculation process in chambers in series
Mathematical modeling and analysis of the flocculation process in chambers in series
复制标题
串联室絮凝过程的数学建模与分析
DOI：
10.1007/s00449-012-0791-4
复制
发表时间：
2013
影响因子：
3.8
通讯作者：
S. C. Oliveira
中科院分区：
文献类型：
--
作者：
R. Moruzzi;S. C. Oliveira
采用Argaman和考夫曼提出的凝聚和破碎的经典动力学模型，对串联池连续系统中的絮凝过程进行了分析，该模型包含两个主要参数：KaandKb。使用这些参数的典型值，即。即，Ka = 3.68 × 10 − 5 - 1.83 × 10 − 4和Kb = 1.83 × 10 − 7 - 2.30 × 10 − 7s − 1。该分析包括在不同操作条件下对系统行为进行模拟，包括所用腔室数量的变化以及单元中固定或缩放速度梯度的利用。在所有模拟中分析的响应变量是实现给定絮凝效率所需的总保留时间，其通过非线性代数方程的常规求解方法确定，对应于系统上的物料平衡。采用1 - 5个室的数量，20 - 60 s-1的速度梯度和50 - 90%的絮凝效率。
In this study, the flocculation process in continuous systems with chambers in series was analyzed using the classical kinetic model of aggregation and break-up proposed by Argaman and Kaufman, which incorporates two main parameters:KaandKb. Typical values for these parameters were used, i. e.,Ka= 3.68 × 10−5–1.83 × 10−4andKb= 1.83 × 10−7–2.30 × 10−7s−1. The analysis consisted of performing simulations of system behavior under different operating conditions, including variations in the number of chambers used and the utilization of fixed or scaled velocity gradients in the units. The response variable analyzed in all simulations was the total retention time necessary to achieve a given flocculation efficiency, which was determined by means of conventional solution methods of nonlinear algebraic equations, corresponding to the material balances on the system. Values for the number of chambers ranging from 1 to 5, velocity gradients of 20–60 s−1and flocculation efficiencies of 50–90 % were adopted.