Scale‐up of Mini‐Plant Extractors on Energy Dissipation‐Based Population Balances

Scale‐up of Mini‐Plant Extractors on Energy Dissipation‐Based Population Balances
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基于能量耗散的群体平衡的小型植物提取器的规模化

DOI:
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发表时间:
2009
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影响因子:
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通讯作者:
H. Bart
H. Bart
中科院分区:
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文献类型:
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作者:
T. Steinmetz;H. Bart

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萃取塔的新放大概念依赖于保持三个等同,即总比流量、能量耗散和液滴在隔室中的平均停留时间。基于液滴种群平衡的模型允许在不同的几何形状中保持流体动力学相似性,就像在微型或中试工厂中一样。这导致了相似的破碎和合并概率,从而提供了类似的液滴尺寸分布,从而获得了传质面积和萃取效率。新的破坏频率项依赖于能量耗散率,因此与几何约束无关。传统的放大规则要么基于恒定的尖端速度(≈N),要么基于恒定的能量输入(=N3),而在这里它遵循恒定的能量耗散(≈N 2)。文中给出了用实例证明新方法的详细步骤。来自文献先导实验的数据可以通过计算机模拟来验证,而不需要使用适当的参数。关联式中的所有参数都是在实验室装置上得到的,而聚结参数是在小型工厂实验中获得的。模拟中试数据与实验数据之间的偏差小于14%,操作参数(转速N、处理量)被低估了4%,导致测量的HETS(传质级高度当量)值略小,对塔高的影响不到1%。
The new scale-up concept for extraction columns relies on three identities being kept idem, as is the total specific flow rate, energy dissipation, and mean droplet residence time in a compartment. The droplet population balance-based model allows maintaining hydrodynamic similarity in different geometries, as is in a mini- or a pilot plant. This leads to similar breakage and coalescence probabilities giving comparable droplet size distributions, thus mass transfer area and extraction efficiency. A new breakage frequency term has been developed relying on the energy dissipation rate and is thus independent from geometric constraints. The traditional scale-up rules are based either on a constant tip velocity (≈ N) or on a constant energy input (= N 3 ), whereas here it follows a constant energy dissipation (≈ N 2 ). A step-by-step approach to the new procedure proved by case samples is given. Data from literature pilot experiments could be verified by computer simulations, without using adaptable parameters. All parameters in the correlations where derived in a lab-scale apparatus and the coalescence parameters were obtained in the mini-plant experiments. Derivation between simulated and experimental pilot data for stage numbers was less than 14 %, operating parameters (rotational speed N, throughput) were underestimated by 4 % leading to a slightly smaller HETS (Height Equivalent of Transfer Stages) value as measured, affecting the column height with less than 1 %.