Turbulent droplet breakage probability: Analysis of fitting parameters for two commonly used models
Turbulent droplet breakage probability: Analysis of fitting parameters for two commonly used models
复制标题
湍流液滴破裂概率：两种常用模型的拟合参数分析
DOI：
10.1016/j.ces.2022.118311
复制
发表时间：
2023
影响因子：
4.7
通讯作者：
Dennis Vigil, R.
中科院分区：
文献类型：
--
作者：
Ravichandar, Krishnamurthy;Olsen, Michael G.;Dennis Vigil, R.
液-液系统中的液滴破碎是整个化学、食品和制药工业中制造操作中的重要物理过程。虽然已经开发了几种数学模型来描述搅拌液体乳液中的液滴破碎，但这些模型的实用性受到以下事实的限制，即它们结合了多个拟合参数，这些拟合参数必须针对特定的流体对和流动条件凭经验确定。在这项工作中，可以评估，而不需要进行液滴破碎实验的解析表达式已开发的参数与液滴破碎概率在两个常用的破碎模型。这些表达式是通过应用量纲分析和通过使用关于破碎概率的假设推导出来的，该假设基于液滴上的破坏性和恢复性应力之间的竞争。用于验证所提出的方程的破碎概率参数的数据是从以前发表的报告中的液滴破碎的非均质流装置，以及从实验中进行的冯卡门盒设计，以产生均匀的湍流。液滴破碎概率的预测，使用推导出的破碎参数的表达式的比较一般与实验数据吻合得很好。
Droplet breakage in liquid–liquid systems is an important physical process in manufacturing operations throughout the chemical, food, and pharmaceutical industries. Although several mathematical models have been developed to describe droplet breakage in agitated liquid emulsions, the utility of these models is limited by the fact that they incorporate multiple fitting parameters that must be determined empirically for specified fluid pairs and flow conditions. In this work, analytical expressions that can be evaluated without need to perform droplet breakage experiments have been developed for parameters associated with droplet breakage probability in two commonly used breakage models. These expressions were derived by applying dimensional analysis and by using a hypothesis regarding breakage probability that is based upon competition between disruptive and restorative stresses on droplets. Data used for validation of the proposed equations for the breakage probability parameters were obtained from previously published reports of droplet breakage in heterogeneous flow devices, as well as from experiments performed in a von Kármán box designed to produce homogeneous turbulence. Comparison of the droplet breakage probability predictions using the derived expressions for the breakage parameters show generally good agreement with experimental data.