Hierarchy of Mathematical Models for Calculating Aeration Tanks
DOI:
https://doi.org/10.15802/stp2026/352713Keywords:
aeration tank, water treatment, hydrodynamics, numerical modeling, mass transfer, treatment facilitiesAbstract
Purpose. Aeration tanks are widely used in wastewater treatment. Complex processes of mass transfer of impurities, activated sludge, and oxygen occur in an aeration tank. Therefore, it is very important to have specialized mathematical models that allow for a comprehensive consideration of complex multifactorial processes in aeration tanks. The aim of this work is to identify the advantages and disadvantages of mathematical models used to evaluate the efficiency of water treatment in aeration tanks, as well as to develop numerical models for analyzing the operation of aeration tanks. Methodology. System analysis methods used in accordance with hydrodynamics and mass transfer models in wastewater treatment tasks in aeration tanks. The solution of the hydrodynamics problem is based on the use of potential flow model. Mass transfer equations that take into account convective and diffusive transport are used to describe the process of impurity movement in an aeration tank. The development of numerical models is based on the use of the method of splitting modeling equations. Findings. Numerical models for calculating the efficiency of water purification in an aeration tank have been developed and implemented in software. These models are a modern tool for mathematical modeling of complex, multifactorial mass transfer processes in aeration tanks. Originality. Based on a systematic analysis, the advantages and disadvantages of the models used to analyze the efficiency of aeration tanks have been identified. The construction of effective numerical models for calculating hydrodynamics and mass transfer in aeration tanks has been considered. Practical value. The proposed numerical models of hydrodynamics and mass transfer in aeration tanks can be useful for rapid assessment of the efficiency of wastewater treatment in aeration tanks.
References
Biliaiev, M. M., Kozachyna, V. A., Gunko, O. Yu., & Lemesh, M. V. (2023). Kompyuterne modelyuvannya procesiv biologichnoyi ochystky stichnyx vod. monografiya. Dnipro, Ukraine: Zhurfond. (in Ukrainian)
Vasylenko, O. A., Hrabovskyi, P. O., Larkina, H. M., Polishchuk, O. V., & Prohulnyi, V. Y. (2010). Rekonstruktsiia i intensyfikatsiia sporud vodopostachannia ta vodovidvedennia. Kyiv, Ukraine: IVNVKP «Ukrheliotek». (in Ukrainian)
Epoyan, C. M., Smirnova, H. M., Korinko, I. V., Pashkova, S. P., Sorokina, V. Yu., & Vevelier, H. (2003). Vodo-vidvedennia i ochyshchennia stichnykh vod mista. Kharkiv, Ukraine: Vydavnycha hrupa «RA Karavela». (in Ukrainian)
Kovalchuk, V. A. (2002). Ochystka stichnykh vod. Rivne, Ukraine: VAT «Rivnenska drukarnia». (in Ukrainian)
Oleynik, A. Y., & Airapetyan, T. S. (2015). The modeling of the clearance of waste waters from organic pollutions in bioreactors-aerotanks with suspended (free flow) and fixed biocenoses. Reports of the National Academy of Sciences of Ukraine, 5, 55-60. DOI: https://doi.org/10.15407/dopovidi2015.05.055 (in Ukrainian)
Alharbi, A. O. M. (2016). The biological treatment of wastewater: mathematical models. Bulletin of the Australian Mathematical Society, 94(2), 347-348. DOI: https://doi.org/10.1017/s0004972716000411 (in English)
Babaei, A., Azadi, R., Jaafarzadeh, N., & Alavi, N. (2013). Application and Kinetic Evaluation of upflow Anaerobic biofilm Reactor for Nitrogen Removal from Wastewater. Iranian Journal of Environmental Health Science and Engineering, 10(1), 20. DOI: https://doi.org/10.1186/1735-2746-10-20 (in English)
Dapelo, D., & Bridgeman, G. (2020). A CFD strategy to retrofit an anaerobic digester to improve mixing performance in wastewater treatment. Water Science & Technology, 81(8), 1646-1657. DOI: https://doi.org/10.2166/wst.2020.086 (in English)
Mocanu, C. R., & Mihaillescu, R. (2012). Numerical Simulation Wastewater Treatment Aeration Processes. UPB Scientific Bulletin, Series D: Mechanical Engineering, 74(2), 191-198. (in English)
Pereda, M., & Zamarreno, J. M. (2011, June). Agent-based modeling of an activated sludge process in a batch-reactor. In 2011 19th Mediterranean Conference on Control & Automation (MED) (pp. 1128-1133). Cor-fu, Greece. DOI: https://doi.org/10.1109/med.2011.5983027 (in English)
Painmanakul, P., Wachirasak, J., Jamnongwong, M., & Hebrard, G. (2009). Theoretical Prediction of Volumetric Mass Transfer Coefficient (KLA) for Designing Aeration Tank. Engineering Journal, 13(3), 13-28. DOI: https://doi.org/10.4186/ej.2009.13.3.13 (in English)
Vanags J., & Suleiko A. (2022). Oxygen Mass Transfer Coefficient Application in Characterisation of Bioreac-tors and Fermentation Processes. Latvian Journal of Physics and Technical Sciences, 59(5), 21-32. DOI: https://doi.org/10.2478/lpts-2022-0038 (in English)
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Science and Transport Progress
This work is licensed under a Creative Commons Attribution 4.0 International License.
Copyright and Licensing
This journal provides open access to all of its content.
As such, copyright for articles published in this journal is retained by the authors, under the terms of the Creative Commons Attribution 4.0 International License (CC BY 4.0). The CC BY license permits commercial and non-commercial reuse. Such access is associated with increased readership and increased citation of an author's work. For more information on this approach, see the Public Knowledge Project, the Directory of Open Access Journals, or the Budapest Open Access Initiative.
The CC BY 4.0 license allows users to copy, distribute and adapt the work in any way, provided that they properly point to the author. Therefore, the editorial board of the journal does not prevent from placing published materials in third-party repositories. In order to protect manuscripts from misappropriation by unscrupulous authors, reference should be made to the original version of the work.
