CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods
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 metho...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Chemical Engineering |
| Online Access: | http://dx.doi.org/10.1155/2019/4836213 |
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| author | Dan Zheng Wei Zou Chuanfeng Peng Yuhang Fu Jie Yan Fengzhen Zhang |
| author_facet | Dan Zheng Wei Zou Chuanfeng Peng Yuhang Fu Jie Yan Fengzhen Zhang |
| author_sort | Dan Zheng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-22a8073bde6948a3b602398bf14264d0 |
| institution | OA Journals |
| issn | 1687-806X 1687-8078 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Chemical Engineering |
| spelling | doaj-art-22a8073bde6948a3b602398bf14264d02025-08-20T02:04:37ZengWileyInternational Journal of Chemical Engineering1687-806X1687-80782019-01-01201910.1155/2019/48362134836213CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical MethodsDan Zheng0Wei Zou1Chuanfeng Peng2Yuhang Fu3Jie Yan4Fengzhen Zhang5Department of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaDepartment of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaDepartment of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaDepartment of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaDepartment of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaDepartment of Chemical Engineering, Sichuan University of Science and Engineering, Zigong, Sichuan 643000, ChinaA 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.http://dx.doi.org/10.1155/2019/4836213 |
| spellingShingle | Dan Zheng Wei Zou Chuanfeng Peng Yuhang Fu Jie Yan Fengzhen Zhang CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods International Journal of Chemical Engineering |
| title | CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods |
| title_full | CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods |
| title_fullStr | CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods |
| title_full_unstemmed | CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods |
| title_short | CFD-PBM Coupled Simulation of Liquid-Liquid Dispersions in Spray Fluidized Bed Extractor: Comparison of Three Numerical Methods |
| title_sort | cfd pbm coupled simulation of liquid liquid dispersions in spray fluidized bed extractor comparison of three numerical methods |
| url | http://dx.doi.org/10.1155/2019/4836213 |
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