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Mathematical modeling of the clarifier performance for water coagulation

НазваMathematical modeling of the clarifier performance for water coagulation
Назва англійськоюMathematical modeling of the clarifier performance for water coagulation
АвториTaras Dubyniak, Petro Mykulyk, Volodymyr Nevozhai, Valery Bukhovets, Taras Lepkyi
ПринадлежністьTernopil Ivan Puluj National Technical University, Ternopil, Ukraine
Бібліографічний описMathematical modeling of the clarifier performance for water coagulation / Taras Dubyniak, Petro Mykulyk, Volodymyr Nevozhai, Valery Bukhovets, Taras Lepkyi // Scientific Journal of TNTU. — Tern.: TNTU, 2025. — Vol 117. — No 1. — P. 28–41.
Bibliographic description:Dubyniak T., Mykulyk P., Nevozhai V., Bukhovets V., Lepkyi T. (2025) Mathematical modeling of the clarifier performance for water coagulation. Scientific Journal of TNTU (Tern.), vol 117, no 1, pp. 28–41.
DOI: https://doi.org/10.33108/visnyk_tntu2025.01.028
УДК

531.374

Ключові слова

Clarifier, coagulation unit, dosing pump, reagents.

This study explores the performance optimization of clarifiers by examining geometric parameters, flow velocity, and sludge characteristics. Mathematical models predict system behavior under various conditions, aiding in stable operation through optimized temperature, reagent dosing, and sludge management. An experimental approach identifies optimal reagent and temperature settings for water purification, ensuring consistent results. Key performance indicators-water turbidity, suspended solids concentration, and sludge settling velocity-are linked to operational variables. Maintaining stable hydraulics is critical to prevent sludge carryover. The proposed equations facilitate performance evaluation and guide further clarifier design and automation improvements.

ISSN:2522-4433
Перелік літератури
1. Bratby J. (2016). Coagulation and Flocculation in Water and Wastewater Treatment: Third Edition. IWA Publishing.
2. Crittenden J. C., Trussell R. R., Hand D. W., Howe K. J., & Tchobanoglous G. (2012). *MWH's Water Treatment: Principles and Design, 3rd Edition. Wiley.
3. Metcalf & Eddy Inc. (2014). *Wastewater Engineering: Treatment and Resource Recovery*. McGraw-Hill.
4. Spellman F. R. (2014). *Handbook of Water and Wastewater Treatment Plant Operations, 3rd Edition. CRC Press.
5. Nathanson J. A. (2015). Basic Environmental Technology: Water Supply, Waste Management, and Pollution Control. Pearson.
6. Henze M., van Loosdrecht M. C. M., Ekama G. A., & Brdjanovic D. (2008). Biological Wastewater Treatment: Principles, Modeling and Design. IWA Publishing.
7. Snoeyink V. L., & Jenkins D. (2020). Water Chemistry. Wiley.
8. Zhou Y. (2008). *Chemical Treatment of Wastewater: Precipitation, Coagulation, and Flocculation*. Springer.
9. Binnie C., Kimber M., & Smethurst G. (2013). Basic Water Treatment. ICE Publishing.
10. Gray N. F. (2017). *Microbiology of Waterborne Diseases: Microbiological Aspects and Risks*. Academic Press.
11. Raucher R. S., Rothstein E., & Green B. (2012). *Water Treatment Operator Certification Exam Prep. American Water Works Association.
12. Fitch M. W. (2018). Principles of Water Quality Management. Springer.
13. Tchobanoglous G., & Leverenz H. L. (2013). Emerging Technologies in Wastewater Treatment*. CRC Press.
14. Van der Bruggen B. (2020). *Membrane Technology in Water Treatment: Principles and Applications. Elsevier.
15. Grischek T. (2008). Riverbank Filtration Hydraulics*. Springer.
References:
1. Bratby J. (2016). Coagulation and Flocculation in Water and Wastewater Treatment: Third Edition. IWA Publishing.
2. Crittenden J. C., Trussell R. R., Hand D. W., Howe K. J., & Tchobanoglous G. (2012). *MWH's Water Treatment: Principles and Design, 3rd Edition. Wiley.
3. Metcalf & Eddy Inc. (2014). *Wastewater Engineering: Treatment and Resource Recovery*. McGraw-Hill.
4. Spellman F. R. (2014). *Handbook of Water and Wastewater Treatment Plant Operations, 3rd Edition. CRC Press.
5. Nathanson J. A. (2015). Basic Environmental Technology: Water Supply, Waste Management, and Pollution Control. Pearson.
6. Henze M., van Loosdrecht M. C. M., Ekama G. A., & Brdjanovic D. (2008). Biological Wastewater Treatment: Principles, Modeling and Design. IWA Publishing.
7. Snoeyink V. L., & Jenkins D. (2020). Water Chemistry. Wiley.
8. Zhou Y. (2008). *Chemical Treatment of Wastewater: Precipitation, Coagulation, and Flocculation*. Springer.
9. Binnie C., Kimber M., & Smethurst G. (2013). Basic Water Treatment. ICE Publishing.
10. Gray N. F. (2017). *Microbiology of Waterborne Diseases: Microbiological Aspects and Risks*. Academic Press.
11. Raucher R. S., Rothstein E., & Green B. (2012). *Water Treatment Operator Certification Exam Prep. American Water Works Association.
12. Fitch M. W. (2018). Principles of Water Quality Management. Springer.
13. Tchobanoglous G., & Leverenz H. L. (2013). Emerging Technologies in Wastewater Treatment*. CRC Press.
14. Van der Bruggen B. (2020). *Membrane Technology in Water Treatment: Principles and Applications. Elsevier.
15. Grischek T. (2008). Riverbank Filtration Hydraulics*. Springer.
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