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Population Balance Modeling of Volume and Time Dependent Spray Fluidized Bed Aggregation Kernel Using Monte Carlo Simulation Results
Applied Mathematical Modelling ( IF 4.4 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.apm.2020.11.020
Ashok Das , Jitendra Kumar

Abstract This work develops a comprehensive population balance modeling of the spray fluidized bed aggregation process based on the process specific microscopic mechanisms. A sophisticated constant number Monte Carlo algorithm is used to virtually simulate all important micro-mechanisms (e.g., droplet addition, droplet drying, volume dependent particle collisions, aggregation, and rebound, etc.) of spray fluidized bed granulation process and analyze their effects on the aggregation behavior. Volume dependency in particle collisions is used for the first time while mimicking the aggregation events in spray fluidized bed granulator. Then the model for the aggregation kernel and rate equations of other process related parameters are derived by taking into account all the micro-mechanisms. The developed aggregation kernel takes care of the time dependency in particle selections along with the volume dependency. Furthermore, the volume and time dependent probability of successful wet position collisions was successfully extracted using Monte Carlo simulations and then transferred to the development of population balance model. Finally, the accuracy of the proposed population balance model is verified by comparing its results against the predictions of the Monte Carlo simulations.

中文翻译:

使用蒙特卡罗模拟结果的体积和时间相关喷雾流化床聚集核的种群平衡建模

摘要 这项工作基于过程特定的微观机制开发了喷雾流化床聚集过程的综合种群平衡模型。复杂的常数蒙特卡罗算法用于虚拟模拟喷雾流化床造粒过程的所有重要微观机制(例如,液滴添加、液滴干燥、体积相关的粒子碰撞、聚集和反弹等)并分析它们对聚合行为。在模拟喷雾流化床造粒机中的聚集事件时,首次使用了粒子碰撞中的体积相关性。然后通过考虑所有微观机制推导出聚集核模型和其他过程相关参数的速率方程。开发的聚合内核处理粒子选择中的时间依赖性以及体积依赖性。此外,成功的湿位置碰撞的体积和时间相关概率使用蒙特卡罗模拟成功提取,然后转移到人口平衡模型的开发中。最后,通过将其结果与蒙特卡罗模拟的预测进行比较,验证了所提出的人口平衡模型的准确性。
更新日期:2021-04-01
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