Abstract
The geometric structure of the suspended carrier is an important factor that directly affects the effluent quality of the moving bed biofilm reactor, and it should be a valuable mathematical solution to solve the nonlinear equation through numerical simulation and experimental research. Therefore, this study has designed and prepared a coral-shaped fractal suspension carrier based on nonlinear equations and verified the effectiveness of the new carrier for sewage treatment through FLUENT numerical simulation and domestic sewage treatment experiments. The experimental results show that the coral-shaped fractal suspension carrier has a significant effect on the velocity, vortex distribution, and gas-phase distribution of the flow field in the reactor. The mass transfer dead area in the reactor is reduced, the number of vortices is significantly increased, and the fractal dimension of the carrier is negatively correlated with the flow velocity and pressure drop of the fluid. After stabilization, the average removal rates of COD and NH4+-N by the reactor are 89.5% and 93.21%, respectively; the effluent quality reaches the national first-class A standard; and the sewage treatment performance is good. At the same time, this research provides a preliminary research basis for the method of solving nonlinear equations through numerical simulation and experimental research.
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References
Achilli A, Marchand EA, Childress AE (2011) A performance evaluation of three membrane bioreactor systems: aerobic, anaerobic, and attached-growth. Water Sci Technol 63:2999–3005. https://doi.org/10.2166/wst.2011.559
Almomani F, Delatolla R, Örmeci B (2014) Field study of moving bed biofilm reactor technology for post-treatment of wastewater lagoon effluent at 1 °C. Environ Technol 35(13):1596–1604. https://doi.org/10.1080/09593330.2013.874500
Aghajannezhad P, Sellier, M (2022). The effects of surface roughness on the flow in multiple connected fractures. Fluid Dyn Res, 54(1). https://doi.org/10.1088/1873-7005/ac49a1
Barwal A, Chaudhary R (2015) Impact of carrier filling ratio on oxygen uptake & transfer rate, volumetric oxygen transfer coefficient, and energy saving potential in a lab-scale MBBR. J Water Process Eng 8:202–208. https://doi.org/10.1016/j.jwpe.2015.10.008
Chen Y, Shen C, Lu P et al (2015) Role of pore structure on liquid flow behaviors in porous media characterized by fractal geometry. Chem Eng Process-Process Intensif 87:75–80. https://doi.org/10.1016/j.cep.2014.11.014
Dong JH, Shun FL (2012) Numerical simulation of fractal tree-shaped flow field structures in PEMFC. Appl Mech Mater 151:32–35. https://doi.org/10.4028/www.scientific.net/AMM.151.32
Huang Y, Yao F, Zhou B, et al (2020). Numerical study on permeability characteristics of fractal porous media. Chin Physics B,29(5). https://doi.org/10.1088/1674-1056/ab7b53
Izabela K, Dobrochna GK, Przemysław P et al (2018) Influence of MBBR carriers’ geometry on its flow characteristics. Chem Eng Process-Process Intensif 130:134–139. https://doi.org/10.1016/j.cep.2018.06.009
Liu T, He X L, Jia G Y, Xu J W, Quan X, You S J. (2020). Simultaneous nitrification and denitrification process using novel surface-modified suspended carriers for the treatment of real domestic wastewater. Chemosphere, 247https://doi.org/10.1016/j.chemosphere.2020.125831
Leyva-Díaz JC, Martín-Pascual J, Poyatos JM (2017) Moving bed biofilm reactor to treat wastewater. Int J Environ Sci TechNol 14(4):881–910. https://doi.org/10.1007/s13762-016-1169-y
Stuart C, Charles M, Marc BP (2007) Modeling turbulent flow over fractal trees with renormalized numerical simulation. J Comput Phys 225(1):427–448. https://doi.org/10.1016/j.jcp.2006.12.009
Wang, ZZ, Bao YY, Pereira JM, Sauret E, Gan YX (2022). Influence of multiscale surface roughness on permeability in fractures. Phys Rev Fluids 7(2) https://doi.org/10.1103/PhysRevFlu-ids.7.024101
Wang F, Zhou L, Zhao J (2018) Research progresses on suspended carrier in moving bed biofilm reactor for wastewater treatment. Environ Prot Chem Indus 38(3):261–266 ((in Chinese))
Zhu L, Yuan HZ, Shi Z, Deng L, Yu ZF, Li Y, He QL (2022). Metagenomic insights into the effects of various biocarriers on moving bed biofilm reactors for municipal wastewater treatment Sci Total Environ 813 https://doi.org/10.1016/j.scitotenv.2021.151904
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At the point of finishing this manuscript, the authors would like to express sincere thanks to all those who have lent their hands in the course of our writing this manuscript. At the same time, the authors would like to acknowledge other researchers for assisting in providing references and information during the conduct of this research and manuscript.
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BZ is the designer of the experiment and the executive of the experimental research in this study, completing data analysis and writing the first draft of the manuscript. YW, RW, DY, and ZZ are involved in the experimental design and analysis of experimental results. AW is the creator and the person in charge of the project, directing the experimental design, data analysis, paper writing, and revision. All authors read and approved the final manuscript.
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Zhao, B., Wu, Y., Wan, R. et al. Numerical simulation and experimental research of fractal suspended carrier based on nonlinear equation. Environ Sci Pollut Res 29, 66191–66203 (2022). https://doi.org/10.1007/s11356-022-20528-z
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DOI: https://doi.org/10.1007/s11356-022-20528-z