LLECMOD: A Bivariate Population Balance Simulation Tool for Liquid- Liquid Extraction Columns

LLECMOD: A Bivariate Population Balance Simulation Tool for Liquid- Liquid Extraction Columns
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LLECMOD:液-液萃取塔的双变量群体平衡模拟工具

DOI:
10.2174/1874123100802010010
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发表时间:
2008
期刊:
The Open Chemical Engineering Journal
影响因子:
--
通讯作者:
N. Faqir
N. Faqir
中科院分区:
--
文献类型:
--
作者:
Menwer Attarakih;H. Bart;T. Steinmetz;Markus Dietzen;N. Faqir

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在许多工程应用中,如气溶胶动力学、结晶、沉淀、造粒、液-液、气-液、燃烧过程和微生物系统,种群平衡方程在建模多分散系统中有许多应用。人口平衡为这类系统的复杂离散行为建模提供了一种现代方法。由于液-液萃取柱对于分离许多不能通过蒸馏分离的化学物质具有重要的工业意义,因此开发了一个基于Windows的程序,称为LLECMOD。由于液-液萃取柱中液滴数量的多变量性质(相对于大小和溶质浓度),建立了一个空间分布的数量平衡方程。LLECMOD的基础依赖于将计算流体动力学和种群平衡耦合在一起的现代数值算法。为了避免动量平衡方程(连续相和离散相)的求解,采用实验关联法估计了湍流能量耗散和运动液滴的滑移速度以及破碎和聚并的相互作用频率。LLECMOD的设计是灵活的,允许用户定义液滴终端速度,能量耗散,轴向弥散,破裂和合并频率以及柱的其他内部几何细节。用户输入对话框使LLECMOD成为一个用户友好的程序,用户可以方便地选择仿真参数和功能。该程序通过液滴聚结模型的参数估计包进行了增强。基于种群平衡模型的搅拌萃取塔的放大和仿真是该仿真工具的主要应用。
The population balance equation finds many applications in modelling poly-dispersed systems arising in many engineering applications such as aerosols dynamics, crystallization, precipitation, granulation, liquid-liquid, gas-liquid, combustion processes and microbial systems. The population balance lays down a modern approach for modelling the complex discrete behaviour of such systems. Due to the industrial importance of liquid-liquid extraction columns for the separation of many chemicals that are not amenable for separation by distillation, a Windows based program called LLECMOD is developed. Due to the multivariate nature of the population of droplets in liquid -liquid extraction columns (with respect to size and solute concentration), a spatially distributed population balance equation is developed. The basis of LLECMOD depends on modern numerical algorithms that couples the computational fluid dynamics and population balances. To avoid the solution of the momentum balance equations (for the continuous and discrete phases), experimen- tal correlations are used for the estimation of the turbulent energy dissipation and the slip velocities of the moving droplets along with interaction frequencies of breakage and coalescence. The design of LLECMOD is flexible in such a way that allows the user to define droplet terminal velocity, energy dissipation, axial dispersion, breakage and coalescence frequen- cies and the other internal geometrical details of the column. The user input dialog makes the LLECMOD a user-friendly program that enables the user to select the simulation parameters and functions easily. The program is reinforced by a pa- rameter estimation package for the droplet coalescence models. The scale-up and simulation of agitated extraction col- umns based on the populations balanced model leads to the main application of the simulation tool.