Abstract
A coupled numerical code of the Euler-Euler model and the population balance model (PBM) of the liquid-liquid dispersions in a spray fluidized bed extractor (SFBE) has been performed to investigate the hydrodynamic behavior. A classes method (CM) and two representatively numerical moment-based methods, namely, a quadrature method of moments (QMOM) and a direct quadrature method of moments (DQMOM), are used to solve the PBE for evaluating the effect of the numerical method. The purpose of this article is to compare the results achieved by three methods for solving population balance during liquid-liquid two-phase mixing in a SFBE. The predicted results reveal that the CM has the advantage of computing the droplet size distribution (DSD) directly, but it is computationally expensive if a large number of intervals are needed. The MOMs (QMOM and DQMOM) are preferable to coupling the PBE solution with CFD codes for liquid-liquid dispersions simulations due to their easy application, reasonable accuracy, and high reliability. Comparative results demonstrated the suitability of the DQMOM for modeling the spray fluidized bed extractor with simultaneous droplet breakage and aggregation. This work increases the understanding of the chemical engineering characteristics of multiphase systems and provides a theoretical basis for the quantitative design, scale-up, and optimization of multiphase devices.
Highlights
Liquid-liquid dispersions are widely used in the chemical industry for conducting several operations with significant implications in the agrochemical, clinical medicine, and biopharmaceutical fields [1]
The method of classes (CM) and two representative MOMs (QMOM and direct quadrature method of moments (DQMOM)) are used to solve the population balance equation (PBE) in the coupled mode in the ANSYS Fluent solution platform. e purpose of this study is to investigate on the liquid-liquid dispersion characteristics in a spray fluidized bed extractor
The highest values of droplets mean diameter are deduced from DQMOM, the second largest values of droplets mean diameter are deduced from classes method (CM), and the lowest values of droplets mean diameter are found in quadrature method of moments (QMOM)
Summary
Liquid-liquid dispersions are widely used in the chemical industry for conducting several operations with significant implications in the agrochemical, clinical medicine, and biopharmaceutical fields [1] One of such processes is spray fluidized bed extractor (SFBE) which is widespread in chemical industry because the disperse phase in a SFBE has several special characteristics such as stable flow behavior and excellent capability of exchanging mass (energy or momentum) with the continuous phase. Some knowledge regarding disperse phase distribution and continuous phase flow patterns is very difficult to achieve with experiments It can be obtained by numerical simulations. The method of classes (CM) and two representative MOMs (QMOM and DQMOM) are used to solve the PBE in the coupled mode in the ANSYS Fluent solution platform. The method of classes (CM) and two representative MOMs (QMOM and DQMOM) are used to solve the PBE in the coupled mode in the ANSYS Fluent solution platform. e purpose of this study is to investigate on the liquid-liquid dispersion characteristics in a spray fluidized bed extractor
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