Abstract
The hydrodynamic and stirring characteristics of gas-slag-copper matte three-phase in side-blowing melt pool melting were numerically simulated using a combination of the volume of fluid (VOF) model in computational fluid dynamics and the realizable k-ε turbulence model. The study obtained macroscopic flow and gas-liquid two-phase distribution information of the flow field in the melting process. It also examined the effects of isokinetic blowing and nonlinear blowing on the fluid velocity, penetration depth, gas content, and turbulent eddy volume of the flow field, and compared the results. The results indicate that, for the same total gas volume, constant velocity blowing (CVS) inadequately agitates the molten pool, resulting in a large stirring dead zone within the flow field. In contrast, nonlinear blowing enhances the fluid velocity overall. Specifically, sinusoidal variable speed blowing (SWS) and rectangular variable speed blowing (RWS) reduce the stirring dead zone area by 79 and 73.5 %, respectively. This is attributed to the increase in maximum penetration depth and slag phase gas content, as well as the decrease in gas escape during nonlinear blowing. The vortex volume over the total calculated time for the three conditions is enhanced by 6.7 and 1.1 % for SWS and RWS, respectively. Additionally, the turbulent kinetic energy of the fluids is increased by 18.7 and 17 %, respectively.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 52166004
-
Research ethics: The research ethics and research integrity has been followed by all the authors.
-
Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission. Xintao Su: conceptualization, methodology, investigation, data collection and analysis, writing original draft and revisions, proof reading and editing of final version. Shibo Wang: intellectual content, interpretation of data, validation, supervision. Hua Wang: formal analysis, review and editing.
-
Competing interests: There are no conflicts of interest.
-
Research funding: National Natural Science Foundation of China (No. 52166004).
-
Data availability: Data will be made available on request.
References
[1] Y. N. Wang, et al.., “The state-of-the-art in the top submerged lance gas injection technology: A review,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 53, no. 6, pp. 3345–3363, 2022. https://doi.org/10.1007/s11663-022-02631-1.Search in Google Scholar
[2] B. J. Zhao and J. F. Liao, “Development of bottom-blowing copper smelting technology: A review,” Metals, vol. 12, no. 2, 2022. https://doi.org/ARTN19010.3390/met12020190.10.3390/met12020190Search in Google Scholar
[3] W. J. Li, et al.., “Numerical investigation of the enhanced stirring characteristics of a multi-lance top-blowing continuous converting furnace for lance arrangement and variable-velocity blowing,” Energies, vol. 16, no. 5, 2023. https://doi.org/ARTN241210.3390/en16052412.10.3390/en16052412Search in Google Scholar
[4] W. Díaz, G. Reyes, C. Toro, R. M. Li, E. Balladares, and R. Parra, “Radiometric temperature measurement of copper concentrates in flash smelting conditions simulated at laboratory scale coupled with a macroscopic chemical reaction model and automated mineralogical characterization,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 53, no. 6, pp. 3967–3978, 2022. https://doi.org/10.1007/s11663-022-02657-5.Search in Google Scholar
[5] K. Z. Song and A. Jokilaakso, “Transport phenomena in copper bath smelting and converting processes – A review of experimental and modeling studies,” Miner. Process. Extr. Metall. Rev., vol. 43, no. 1, pp. 107–121, 2022. https://doi.org/10.1080/08827508.2020.1806835.Search in Google Scholar
[6] L. I. Peng, Y. Xin, G. Tian-Yu, and L. I. Dong-Bo, “Numerical simulation research of the gas-liquid mixed characteristics of side-blown bath,” Nonferrous Metall. Equip., 2019.Search in Google Scholar
[7] Z. J. Liu, S. F. Lu, Y. Z. Wang, J. L. Zhang, Q. Cheng, and X. R. Song, “Optimization of hydrogen-based shaft furnace raw material parameters based on numerical simulation and Rist operation diagram,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 54, no. 4, pp. 2121–2136, 2023. https://doi.org/10.1007/s11663-023-02821-5.Search in Google Scholar
[8] Y. Yu, et al., “Simulation of ferrochrome settling behavior in a submerged arc furnace using a multiphysics and multiphase model,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 54, no. 4, pp. 2080–2094, 2023. https://doi.org/10.1007/s11663-023-02817-1.Search in Google Scholar
[9] H. L. Zhao, Y. D. Xiao, F. Q. Liu, and H. Y. Sohn, “Computational fluid dynamics simulation of gas-matte-slag three-phase flow in an ISASMELT furnace,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 52, no. 6, pp. 3767–3776, 2021. https://doi.org/10.1007/s11663-021-02290-8.Search in Google Scholar
[10] C. L. He, R. Zhu, K. Dong, Y. Q. Qiu, K. M. Sun, and G. L. Jiang, “Three-phase numerical simulation of oxygen penetration and decarburisation in EAF using injection system,” Ironmak. Steelmak., vol. 38, no. 4, pp. 291–296, 2011. https://doi.org/10.1179/1743281210y.0000000011.Search in Google Scholar
[11] X. Li, F. C. Xue, H. B. Zhang, and B. F. Bai, “Gas expansion patterns in the reacting submerged gas jet into liquid,” Appl. Thermal Eng., vol. 228, 2023. https://doi.org/ARTN12053610.1016/j.applthermaleng.2023.120536.10.1016/j.applthermaleng.2023.120536Search in Google Scholar
[12] C. Nakaya and E. Hasegawa, “Modes of a Submerged Jet,” Phys. Fluids, vol. 15, pp. 1715–1717, 1972.10.1063/1.1693767Search in Google Scholar
[13] E. Lothe and G. M. Faeth, “Structure of underexpanded round air jets submerged in water,” Int. J. Multiphas. Flow, vol. 15, no. 4, pp. 589–603, 1989, https://doi.org/10.1016/0301-9322(89)90055-4.Search in Google Scholar
[14] S. Zhu, Q. Y. Zhao, Y. Liu, M. Z. Zheng, X. L. Li, and T. A. Zhang, “Mixing behavior in a side-blown vortex smelting reduction reactor,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 52, no. 6, pp. 4082–4095, 2021. https://doi.org/10.1007/s11663-021-02326-z.Search in Google Scholar
[15] E. O. Hoefele and J. K. Brimacombe, “Flow regimes in submerged gas injection,” Metall. Trans. B, vol. 10, no. 4, pp. 631–648, 1979, https://doi.org/10.1007/bf02662566.Search in Google Scholar
[16] S. Zhu, Q. Y. Zhao, Y. Liu, X. L. Li, and T. A. Zhang, “Local bubble characteristics in a side-blown vortex smelting reduction reactor,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 53, no. 4, pp. 2303–2320, 2022. https://doi.org/10.1007/s11663-022-02530-5.Search in Google Scholar
[17] G. Reiter and K. Schwerdtfwger, “Observations of physical phenomena occurring during passage of bubbles through liquid/liquid interfaces,” ISIJ Int., vol. 32, no. 1, pp. 50–56, 1992, https://doi.org/10.2355/isijinternational.32.50.Search in Google Scholar
[18] H. L. Zhao, J. Q. Wang, W. L. Zhang, M. Z. Xie, F. Q. Liu, and X. C. Cao, “Bubble motion and interfacial phenomena during bubbles crossing liquid-liquid interfaces,” Processes, vol. 7, no. 10, 2019. https://doi.org/ARTN71910.3390/pr7100719.10.3390/pr7100719Search in Google Scholar
[19] Q. T. Xiao, Y. X. Zhang, X. L. Zhu, J. X. Xu, J. X. Pan, and H. Wang, “Novel 3-D homogeneity metrics of multiple components in gas-stirred liquid systems,” Powder Technol., vol. 336, pp. 210–219, 2018. https://doi.org/10.1016/j.powtec.2018.05.043.Search in Google Scholar
[20] Z. Y. Duan, et al.., “Numerical simulation and experimental study of an efficient multi-orifice-impinging transverse (MOIT) jet mixer,” Int. J. Chem. React. Eng., vol. 20, no. 8, pp. 791–803, 2022. https://doi.org/10.1515/ijcre-2021-0298.Search in Google Scholar
[21] H. Zhou, et al.., “Numerical simulation of inner characteristics in COREX shaft furnace with center gas distribution: Influence of bed structure,” Int. J. Chem. Reactor Eng., vol. 20, no. 10, pp. 1073–1081, 2022. https://doi.org/10.1515/ijcre-2022-0004.Search in Google Scholar
[22] W. J. Ni, et al.., “Numerical simulation of iron ore sintering process with coke oven gas injection and oxygen enrichment,” Int. J. Chem. Reactor Eng., vol. 20, no. 10, pp. 1035–1051, 2022. https://doi.org/10.1515/ijcre-2021-0284.Search in Google Scholar
[23] L. M. Li, X. J. Li, Z. C. Zhu, and B. K. Li, “Numerical modeling of multiphase flow in gas stirred ladles: From a multiscale point of view,” Powder Technol., vol. 373, pp. 14–25, 2020. https://doi.org/10.1016/j.powtec.2020.06.028.Search in Google Scholar
[24] L. M. Li, B. K. Li, and Z. Q. Liu, “Modeling of gas-steel-slag three-phase flow in ladle metallurgy: Part II. Multi-scale mathematical model,” ISIJ Int., vol. 57, no. 11, pp. 1980–9, 2017, https://doi.org/10.2355/isijinternational.isijint-2017-069.Search in Google Scholar
[25] Z. Q. Liu, L. M. Li, and B. K. Li, “Modeling of gas-steel-slag three-phase flow in ladle metallurgy: Part I. Physical modeling,” ISIJ Int., vol. 57, no. 11, pp. 1971–1979, 2017. https://doi.org/10.2355/isijinternational.ISIJINT-2016-710.Search in Google Scholar
[26] Y. N. Wang, M. Vanierschot, L. L. Cao, Z. F. Cheng, B. Blanpain, and M. X. Guo, “Hydrodynamics study of bubbly flow in a top-submerged lance vessel,” Chem. Eng. Sci., vol. 192, pp. 1091–1104, 2018. https://doi.org/10.1016/j.ces.2018.08.045.Search in Google Scholar
[27] Z. W. Bian, et al.., “Numerical simulation of multiphase flow in ironmaking process for oxygen-rich side-blown bath smelting furnace,” Metall. Mater. Trans. B Process Metall. Mater. Process. Sci., vol. 54, no. 3, pp. 1352–1367, 2023. https://doi.org/10.1007/s11663-023-02766-9.Search in Google Scholar
[28] Y. D. Xiao, et al.., “Computational fluid dynamics study on enhanced circulation flow in a side-blown copper smelting furnace,” JOM, vol. 73, no. 9, pp. 2724–2732, 2021. https://doi.org/10.1007/s11837-021-04800-0.Search in Google Scholar
[29] P. Liovic, J. L. Liow, and M. Rudman, “A volume of fluid (VOF) method for the simulation of metallurgical flows,” ISIJ Int., vol. 41, no. 3, pp. 225–233, 2001. https://doi.org/DOI10.2355/isijinternational.41.225.10.2355/isijinternational.41.225Search in Google Scholar
[30] Y. T. Liu, T. Z. Yang, Z. Chen, Z. Y. Zhu, L. Zhang, and Q. Huang, “Experiment and numerical simulation of two-phase flow in oxygen enriched side-blown furnace,” Trans. Nonferrous Metals Soc. China, vol. 30, no. 1, pp. 249–258, 2020. https://doi.org/10.1016/S1003-6326(19)65196-4.Search in Google Scholar
[31] Z. H. Wang, S. L. Yang, and D. S. Kong, “Numerical investigation of the stirring characteristics of gas-slag-cooper matte multiphase flow in the bath with top submerged lance,” Trans. Nonferrous Metals Soc. China, vol. 28, pp. 07–13, 2023.Search in Google Scholar
[32] X. Wu, et al.., “Analysis on phase distribution and flow field morphology in double side blown gas-liquid mixture flows with high temperature and high density melt,” Front. Energy Res., vol. 11, 2023. https://doi.org/10.3389/fenrg.2023.1175875.Search in Google Scholar
[33] Y. H. Wang, S. B. Wang, Y. G. Wei, T. F. Zhang, and S. W. Li, “Numerical simulation of gas-liquid mixed top blowing to enhance momentum diffusion,” Appl. Therm. Eng., vol. 181, 2020. https://doi.org/ARTN11597110.1016/j.applthermaleng.2020.115971.10.1016/j.applthermaleng.2020.115971Search in Google Scholar
[34] M. Akbari, B. Safaei, and T. Zarei, “Investigation of gas purging configuration in an industrial ladle by computational fluid dynamics,” Phys. Fluids, vol. 35, no. 5, 2023. https://doi.org/Artn05333410.1063/5.0151424.10.1063/5.0151424Search in Google Scholar
[35] B. A. Ali and S. Pushpavanam, “Analysis of unsteady gas-liquid flows in a rectangular tank: Comparison of Euler-Eulerian and Euler-Lagrangian simulations,” Int. J. Multiphas. Flow, vol. 37, no. 3, pp. 268–277, 2011. https://doi.org/10.1016/j.ijmultiphaseflow.2010.10.002.Search in Google Scholar
[36] J. U. Brackbill, D. B. Kothe, and C. A. Zemach, “A continuum method for modeling surface tension,” J. Comput. Phys., 1992, https://doi.org/10.1016/0021-9991(92)90240-y.Search in Google Scholar
[37] T. H. Shi, J. Zhu, and J. L. Lumely, “Calculation of wall-bounded complex flows and free shear flows,” Int. J. Numer. Methods Fluids, vol. 23, no. 11, pp. 1133–1144, 2015.10.1002/(SICI)1097-0363(19961215)23:11<1133::AID-FLD456>3.0.CO;2-ASearch in Google Scholar
[38] C. B. Da Silva and J. C. F. Pereira, “Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets,” Phys. Fluids, vol. 20, no. 5, 2008.10.1063/1.2912513Search in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Articles
- Molecular dynamics simulation of microstructure and thermophysical properties of LiCl–CaCl2 eutectic molten salt
- Extraction of 4-hydroxy benzoic acid from potato processing industrial waste
- Numerical simulation study of the effect of nonlinear side blowing on the flow of gas-liquid two-phase flow
- Design and performance optimization of diesel engine waste heat recovery methanol reforming hydrogen generation system
- Scale-up production of apple essences/hydroxypropyl-beta-cyclodextrin inclusion complexes: effects of the impeller type and the rotational speed on the characteristics of the inclusion complexes
- Investigations of the mixing efficiency of five novel micromixer designs with backward arrow inlet using the Villermaux Dushman protocol
- Preparation and flocculation performance of a cationic starch based flocculant
- Sustainable approach for catalytic epoxidation of oleic acid followed by in situ ring-opening hydrolysis with applied ion exchange resin
- Molecular dynamics simulations of the local structure and physicochemical properties of CaCl2 molten salt
- Modifications in impeller blades for high efficiency mixing of pseudoplastic fluid in a stirred tank
- Short Communications
- Areas of stability of the dynamic equilibrium points of a chemical reactor
Articles in the same Issue
- Frontmatter
- Articles
- Molecular dynamics simulation of microstructure and thermophysical properties of LiCl–CaCl2 eutectic molten salt
- Extraction of 4-hydroxy benzoic acid from potato processing industrial waste
- Numerical simulation study of the effect of nonlinear side blowing on the flow of gas-liquid two-phase flow
- Design and performance optimization of diesel engine waste heat recovery methanol reforming hydrogen generation system
- Scale-up production of apple essences/hydroxypropyl-beta-cyclodextrin inclusion complexes: effects of the impeller type and the rotational speed on the characteristics of the inclusion complexes
- Investigations of the mixing efficiency of five novel micromixer designs with backward arrow inlet using the Villermaux Dushman protocol
- Preparation and flocculation performance of a cationic starch based flocculant
- Sustainable approach for catalytic epoxidation of oleic acid followed by in situ ring-opening hydrolysis with applied ion exchange resin
- Molecular dynamics simulations of the local structure and physicochemical properties of CaCl2 molten salt
- Modifications in impeller blades for high efficiency mixing of pseudoplastic fluid in a stirred tank
- Short Communications
- Areas of stability of the dynamic equilibrium points of a chemical reactor