Dynamic modelling of Kühni liquid extraction columns using the sectional quadrature method of moments (SQMOM)
Dynamic modelling of Kühni liquid extraction columns using the sectional quadrature method of moments (SQMOM)
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使用截面求积矩法 (SQMOM) 对 Kühni 液体萃取塔进行动态建模
DOI：
10.1016/j.compchemeng.2016.08.003
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
H. Bart
中科院分区：
文献类型：
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作者：
Samer Alzyod;Menwer Attarakih;H. Bart
在这项工作中，将截面求积矩量法（SQMOM）扩展到一维物理空间域并使用有限体积法求解。为了关闭数学模型，使用基于由Attarakih等人（Attarakih，M.，Drumm，C.，& Bart，H.- J.，（2009），使用截面矩量法求解人口平衡方程。Chemical Engineering Science，64，742-752）。通过将有限体积法应用于空间域，我们最终得到了一个半离散常微分方程系统，该系统使用MATLAB标准ODE求解器（ode 45）求解。作为一个案例研究，SQTRONIC被用来研究一个Kühni DN 150液-液萃取塔的动态行为。作为一个独立的验证步骤，SQUARE预测与PPBLab软件，利用扩展的固定枢轴技术作为一个内置的人口平衡模型求解器进行比较。此外，SQTANG验证使用可用的动态实验数据从Kühni液体萃取柱使用水-丙酮-甲苯化学测试系统。Kühni柱的动态分析显示了非常有趣的特征，包括柱流体力学和传质的耦合以及液滴的破碎和聚结。
In this work, the Sectional Quadrature Method Of Moments (SQMOM) is extended to a one-dimensional physical spatial domain and resolved using the finite volume method. To close the mathematical model, the required quadrature nodes and weights are calculated using the analytical solution based on the Two Unequal Weights Quadrature (TUEWQ) formula derived by Attarakih et al. (Attarakih, M., Drumm, C., & Bart, H.-J., (2009), Solution of the population balance equation using the Sectional Quadrature Method of Moments (SQMOM). Chemical Engineering Science, 64, 742–752). By applying the finite volume method to the spatial domain, we end up with a semi-discreet ordinary differential equation system which is solved using the MATLAB standard ODE solvers (ode45). As a case study, the SQMOM is used to investigate the dynamic behavior of a Kühni DN150 liquid–liquid extraction column. As an independent validation step, the SQMOM prediction is compared with the PPBLab software which utilizes the extended fixed pivot technique as a built-in population balance model solver. Furthermore, the SQMOM is validated using the available dynamic experimental data from a Kühni liquid extraction column using water-acetone-toluene chemical test system. The dynamic analyses of the Kühni column show very interesting features concerning the coupled column hydrodynamics and mass transfer and the droplet breakage and coalescence as well.