The experimental conditions for the determination of drop size and size distribution in the presence of silica nanoparticles (0.025 and 0.05 wt%) were studied by using the pilot plant Oldshue-Rushton extraction column. The effects of the three parameters such as rotor speed, dispersed phase flow rate as well as continuous phase flow rate were investigated by means of the central composite design (CCD), which is a subcategory of response surface methodology (RSM). The experiment was carried out by using toluene-water system and the results indicated that the nanoparticles reduce the Sauter mean drop size in the extraction column, albeit with a slight variation in the drop size distribution observed in the column. The operating parameters and the drop size is correlated by using central composite design and then tested on the basis of the goodness-of-fit statistics by the analysis of the variance. A new family of the probability distribution function based on the principle of the pre-exponential term to the maximum entropy method was studied for the prediction of drop size distribution. As a result, we found that MEP and pre-exponential term of MEP can provide a better alternative for the prediction of drop size distribution.

使用中试设备Oldshue-Rushton萃取柱研究了在存在二氧化硅纳米颗粒（0.025和0.05 wt％）的情况下确定液滴尺寸和尺寸分布的实验条件。通过中央复合设计（CCD）研究了三个参数（例如转子速度，分散相流速和连续相流速）的影响，CCD是响应面方法（RSM）的子类别。通过使用甲苯-水系统进行实验，结果表明，纳米颗粒降低了萃取塔中Sauter的平均液滴尺寸，尽管在色谱柱中观察到的液滴尺寸分布略有变化。通过使用中央复合设计将运行参数和墨滴大小进行关联，然后根据拟合优度统计数据通过方差分析对它们进行测试。研究了基于前指数项到最大熵的原理的概率分布函数的新族，用于预测液滴尺寸的分布。结果，我们发现MEP和MEP的指数前项可以为预测液滴尺寸分布提供更好的选择。