The pulsed disc-doughnut column is used in various industrial applications. Knowing size distributions of the dispersed phase droplets through this column is necessary to management decisions for better extraction efficiency. To address this, we used various operational parameters, traditional sampling, characterizations, and maximum entropy modeling, and population balance equations to propose species distribution models for the size of droplets in the extraction zone. This paper is devoted studying the size distribution of the dispersed phase using three various liquid feeds in the absence of mass transfer at three operating variables, including the pulse intensity (Af) and flow rates of both liquid phases. The new correlations are proposed to describe Lagrange multipliers of the maximum entropy model regarding operating factors and the physical properties of phases. The population balance model was used to describe the distribution of droplets with main parameters in the breakage and coalescence functions. The comparison appears excellent agreement between these models and the experimental data. The maximum entropy principle has been a straightforward strategy that has successfully described droplet sizes.

脉冲圆盘-甜甜圈柱用于各种工业应用。了解通过此柱的分散相液滴的尺寸分布对于管理决策以提高萃取效率是必要的。为了解决这个问题，我们使用各种操作参数、传统采样、表征和最大熵建模以及种群平衡方程来提出提取区液滴大小的物种分布模型。本文致力于在三个操作变量（包括脉冲强度 (Af) 和两种液相的流速）下，使用三种不同的液体进料在没有传质的情况下研究分散相的尺寸分布。提出了新的相关性来描述最大熵模型关于操作因素和相的物理性质的拉格朗日乘数。种群平衡模型用于描述液滴的分布，主要参数是破碎和聚结功能。这些模型与实验数据之间的比较似乎非常吻合。最大熵原理是一种成功描述液滴大小的简单策略。