A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds

doi:10.1016/j.cjche.2024.07.022

中国化学工程学报 ›› 2024, Vol. 76 ›› Issue (12): 147-156.DOI: 10.1016/j.cjche.2024.07.022

A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds

Junjie Wang, Lin Sheng, Jiang Deng, Guangsheng Luo

The State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China

收稿日期:2024-06-17 修回日期:2024-07-15 接受日期:2024-07-29 出版日期:2024-12-28 发布日期:2024-09-16
通讯作者: Guangsheng Luo,E-mail:gsluo@tsinghua.edu.cn
基金资助:
We gratefully acknowledge the financial support from the National Natural Science Foundation of China (21991104).

A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds

Junjie Wang, Lin Sheng, Jiang Deng, Guangsheng Luo

The State Key Laboratory of Chemical Engineering, Department of Chemical Engineering, Tsinghua University, Beijing 100084, China

Received:2024-06-17 Revised:2024-07-15 Accepted:2024-07-29 Online:2024-12-28 Published:2024-09-16
Contact: Guangsheng Luo,E-mail:gsluo@tsinghua.edu.cn
Supported by:
We gratefully acknowledge the financial support from the National Natural Science Foundation of China (21991104).

摘要/Abstract

摘要： The understanding of the gas-liquid flow characteristics in a micro-packed bed reactor is still immature, especially for many gas-organic working systems commonly used in industry. Accordingly, this study proposes a platform to investigate the gas-liquid flow characteristics in a micro-packed bed reactor and presents a unified expression for these characteristics of both organic and aqueous liquid phase. The influence of two-phase flow rate, working solution viscosity, and packing particle size on the liquid holdup and pressure drop were studied. The gas-organic working systems results show that the liquid holdup ranges between 0.5 and 0.8 and pressure drop ranges from 50 to 350 kPa·m^-1. In particular, a strong correlation between the two flow characteristics parameters (liquid holdup and pressure drop) was proposed for the first time. Finally, a general pressure drop mathematical prediction model in micro-packed bed were developed.

关键词: Gas-liquid flow, Micro-packed bed reactors, Liquid holdup, Pressure drop, Mathematical model

Abstract: The understanding of the gas-liquid flow characteristics in a micro-packed bed reactor is still immature, especially for many gas-organic working systems commonly used in industry. Accordingly, this study proposes a platform to investigate the gas-liquid flow characteristics in a micro-packed bed reactor and presents a unified expression for these characteristics of both organic and aqueous liquid phase. The influence of two-phase flow rate, working solution viscosity, and packing particle size on the liquid holdup and pressure drop were studied. The gas-organic working systems results show that the liquid holdup ranges between 0.5 and 0.8 and pressure drop ranges from 50 to 350 kPa·m^-1. In particular, a strong correlation between the two flow characteristics parameters (liquid holdup and pressure drop) was proposed for the first time. Finally, a general pressure drop mathematical prediction model in micro-packed bed were developed.

Key words: Gas-liquid flow, Micro-packed bed reactors, Liquid holdup, Pressure drop, Mathematical model

Junjie Wang, Lin Sheng, Jiang Deng, Guangsheng Luo. A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds[J]. 中国化学工程学报, 2024, 76(12): 147-156.

Junjie Wang, Lin Sheng, Jiang Deng, Guangsheng Luo. A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds[J]. Chinese Journal of Chemical Engineering, 2024, 76(12): 147-156.

参考文献

[1] K.F. Jensen, Flow chemistry-Microreaction technology comes of age, AlChE. J. 63 (3) (2017) 858-869.
[2] B.Y. Zhou, X.Y. Lin, K. Wang, G.S. Luo, Technology for an energy-saving and fast synthesis of polyvinyl butyral in a microreactor system, Ind. Eng. Chem. Res. 56 (49) (2017) 14463-14470.
[3] A. Madhawan, A. Arora, J. Das, A. Kuila, V. Sharma, Microreactor technology for biodiesel production: a review, Biomass Convers. Biorefin. 8 (2) (2018) 485-496.
[4] L. Sheng, Y. Chang, J.J. Wang, J. Deng, G.S. Luo, Hydrodynamics of gas-liquid microfluidics: a review, Chem. Eng. Sci. 285 (2024) 119563.
[5] J.S. Zhang, A.R. Teixeira, K.F. Jensen, Automated measurements of gas-liquid mass transfer in micropacked bed reactors, AlChE. J. 64 (2) (2018) 564-570.
[6] T.Y. Tang, J.X. Tian, J. Deng, G.S. Luo, An integrated microreaction system for controllable continuous synthesis of polysilsesquioxane microspheres, Powder Technol. 413 (2023) 118055.
[7] G. Vile, N. Almora-Barrios, N. Lopez, J. Perez-Ramirez, Structure and reactivity of supported hybrid platinum nanoparticles for the flow hydrogenation of functionalized nitroaromatics, ACS Catal. 5 (6) (2015) 3767-3778.
[8] T. Hattori, A. Tsubone, Y. Sawama, Y. Monguchi, H. Sajiki, Systematic evaluation of the palladium-catalyzed hydrogenation under flow conditions, Tetrahedron 70 (32) (2014) 4790-4798.
[9] C.X. Yang, A.R. Teixeira, Y.X. Shi, S.C. Born, H.K. Lin, Y.L. Song, B. Martin, B. Schenkel, M. Peer Lachegurabi, K.F. Jensen, Catalytic hydrogenation of N-4-nitrophenyl nicotinamide in a micro-packed bed reactor, Green Chem. 20 (4) (2018) 886-893.
[10] M.J. Shang, T. Noel, Q. Wang, Y.H. Su, K. Miyabayashi, V. Hessel, S. Hasebe, 2- and 3-Stage temperature ramping for the direct synthesis of adipic acid in micro-flow packed-bed reactors, Chem. Eng. J. 260 (2015) 454-462.
[11] M. Shang, T. Noel, Q. Wang, V. Hessel, Packed-bed microreactor for continuous-flow adipic acid synthesis from cyclohexene and hydrogen peroxide, Chem. Eng. Technol. 36 (6) (2013) 1001-1009.
[12] M.W. Losey, M.A. Schmidt, K.F. Jensen, Microfabricated multiphase packed-bed reactors: characterization of mass transfer and reactions, Ind. Eng. Chem. Res. 40 (12) (2001) 2555-2562.
[13] N. Al-Rifai, F. Galvanin, M. Morad, E.H. Cao, S. Cattaneo, M. Sankar, V. Dua, G. Hutchings, A. Gavriilidis, Hydrodynamic effects on three phase micro-packed bed reactor performance-Gold-palladium catalysed benzyl alcohol oxidation, Chem. Eng. Sci. 149 (2016) 129-142.
[14] J.J. Wang, J. Song, L. Sheng, J. Deng, G.S. Luo, Microdispersion of gas or water in an anthraquinone working solution for the H₂O₂ synthesis process intensification, Ind. Eng. Chem. Res. 62 (3) (2023) 1695-1705.
[15] Mohammed, I. Mohammed, T. Bauer, M. Schubert, R. Lange, Hydrodynamic multiplicity in a tubular reactor with solid foam packings, Chem. Eng. J. 231 (2013) 334-344.
[16] R. Prakash, S.K. Majumder, A. Singh, Bubble-slurry interfacial shear stress and frictional pressure drop in a rectangular column in the presence and absence of a surface-active agent, Powder Technol. 366 (2020) 761-775.
[17] A. Ajani, M. Kelkar, C. Sarica, E. Pereyra, Foam flow in vertical gas wells under liquid loading: critical velocity and pressure drop prediction, Int. J. Multiph. Flow 87 (2016) 124-135.
[18] D. van Herk, M.T. Kreutzer, M. Makkee, J.A. Moulijn, Scaling down trickle bed reactors, Catal. Today 106 (1-4) (2005) 227-232.
[19] N. Marquez, P. Castano, M. Makkee, J.A. Moulijn, M.T. Kreutzer, Dispersion and holdup in multiphase packed bed microreactors, Chem. Eng. Technol. 31 (8) (2008) 1130-1139.
[20] A. Attou, C. Boyer, G. Ferschneider, Modelling of the hydrodynamics of the cocurrent gas-liquid trickle flow through a trickle-bed reactor, Chem. Eng. Sci. 54 (6) (1999) 785-802.
[21] J.S. Zhang, A.R. Teixeira, L.T. Kogl, L. Yang, K.F. Jensen, Hydrodynamics of gas-liquid flow in micropacked beds: pressure drop, liquid holdup, and two-phase model, AlChE. J. 63 (10) (2017) 4694-4704.
[22] H.B. Wang, T. Zhou, S.P. Han, L. Duan, L. Sang, Z.P. Zhao, Hydrodynamics and mass transfer enhancement of gas-liquid flow in micropacked bed reactors: effect of contact angle, AlChE. J. 69 (2) (2023) e17846.
[23] N. Marquez, P. Castano, J.A. Moulijn, M. Makkee, M.T. Kreutzer, Transient behavior and stability in miniaturized multiphase packed bed reactors, Ind. Eng. Chem. Res. 49 (3) (2010) 1033-1040.
[24] L. Sang, J.C. Tu, H. Cheng, G.S. Luo, J.S. Zhang, Hydrodynamics and mass transfer of gas-liquid flow in micropacked bed reactors with metal foam packing, AlChE. J. 66 (2) (2020) e16803.
[25] A. Faridkhou, F. Larachi, Hydrodynamics of gas-liquid cocurrent flows in micropacked beds-wall visualization study, Ind. Eng. Chem. Res. 51 (50) (2012) 16495-16504.
[26] Iliuta, M. Hamidipour, D. Schweich, F. Larachi, Two-phase flow in packed-bed microreactors: experiments, model and simulations, Chem. Eng. Sci. 73 (2012) 299-313.
[27] H. Liu, C.O. Vandu, R. Krishna, Hydrodynamics of Taylor flow in vertical capillaries: flow regimes, bubble rise velocity, liquid slug length, and pressure drop, Ind. Eng. Chem. Res. 44 (14) (2005) 4884-4897.
[28] R.Z. Liang, X.N. Duan, J.S. Zhang, Z.H. Yuan, Bayesian based reaction optimization for complex continuous gas-liquid-solid reactions, React. Chem. Eng. 7 (3) (2022) 590-598.
[29] X.N. Duan, J.B. Yin, M.M. Huang, P.X. Wang, J.S. Zhang, Hydrogenation kinetics of halogenated nitroaromatics over Pt/C in a continuous Micro-packed bed reactor, Chem. Eng. Sci. 251 (2022) 117483.
[30] L. Sheng, J.J. Wang, Y. Chang, J. Deng, G.S. Luo, N-shape pressure drop curve of gas-liquid microchannel reactor and modeling, AlChE. J. 69 (8) (2023) e18107.
[31] W. Liu, B.Q. Xie, C.H. Zhang, X.N. Duan, J.S. Zhang, Nature and characteristics of gas-liquid flow regimes in a micro-packed bed reactor, AlChE. J. 69 (7) (2023) e18004.
[32] S. Haase, D.Y. Murzin, T. Salmi, Review on hydrodynamics and mass transfer in minichannel wall reactors with gas-liquid Taylor flow, Chem. Eng. Res. Des. 113 (2016) 304-329.
[33] C.P. Stemmet, F. Bartelds, J. van der Schaaf, B.F.M. Kuster, J.C. Schouten, Influence of liquid viscosity and surface tension on the gas-liquid mass transfer coefficient for solid foam packings in co-current two-phase flow, Chem. Eng. Res. Des. 86 (10) (2008) 1094-1106.

A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds

A general pressure drop model based on liquid holdup of gas-liquid flow in micro-packed beds

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