Research Article
Open Access
Mathematical Modeling of an Integrated Microbial Fuel Cell-Bioreactor System for Slaughterhouse Wastewater Treatment
1
Department of Mathematics, AMET Deemed to be University, Chennai 603112, India
2
Department of Science and Humanities, Sri Krishna College of Engineering and Technology, Coimbatore 641008, India
3
College of Business Administration, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
4
Department of Mechanical Engineering, Prince Mohammad Bin Fahd University, Al Khobar 31952, Saudi Arabia
* Corresponding Author:
Muhammad Ijaz Khan,
[email protected]
Volume 1, Issue 2
2025
Received: 24 November 2025
Accepted: 18 December 2025
Published: 28 December 2025
Article Information
Volume/Issue
Volume 1, Issue 2, 2025
Pages
96-107
Abstract
This study presents an analytical mathematical model for an integrated microbial fuel cell--oxic--anoxic bioreactor (MFC--OB--ANB) system designed for simultaneous slaughterhouse wastewater treatment and energy recovery. The model incorporates bioelectrochemical oxidation, nitrification, and denitrification processes using acetate as a representative substrate. Closed-form analytical solutions are derived for substrate degradation, nitrogen transformation, current density, and system voltage. The effects of biofilm thickness, membrane conductivity, and influent substrate concentration on treatment efficiency and power generation are systematically investigated. Results reveal that enhanced biofilm conductivity and reduced membrane resistance significantly improve energy recovery, while optimized substrate loading enhances nitrogen removal performance. The proposed framework provides valuable insights for the design and optimization of integrated bioelectrochemical wastewater treatment systems.
Graphical Abstract
Keywords
microbial fuel cell
mathematical model
Nernst-Monod model
slaughterhouse wastewater
new homotopy perturbation method
nonlinear equations
nitrification and de-nitrification model
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest.
Ethical Approval and Consent to Participate
Not applicable.
References
- Bustillo-Lecompte, C. F., & Mehrvar, M. (2015). Slaughterhouse wastewater characteristics, treatment, and management in the meat processing industry: A review on trends and advances. Journal of environmental management, 161, 287-302.
[CrossRef] [Google Scholar] - Jayashree, C., Tamilarasan, K., Rajkumar, M., Arulazhagan, P., Yogalakshmi, K. N., Srikanth, M., & Banu, J. R. (2016). Treatment of seafood processing wastewater using upflow microbial fuel cell for power generation and identification of bacterial community in anodic biofilm. Journal of environmental management, 180, 351-358.
[CrossRef] [Google Scholar] - Li, J., & He, Z. (2015). Optimizing the performance of a membrane bio-electrochemical reactor using an anion exchange membrane for wastewater treatment. Environmental Science: Water Research & Technology, 1(3), 355-362.
[CrossRef] [Google Scholar] - Mittal, G. S. (2006). Treatment of wastewater from abattoirs before land application—a review. Bioresource technology, 97(9), 1119-1135.
[CrossRef] [Google Scholar] - Bello, Y. O., & Oyedemi, D. T. A. (2009). The impact of abattoir activities and management in residential neighbourhoods: A case study of Ogbomoso, Nigeria. Journal of Social Sciences, 19(2), 121-127.
[Google Scholar] - Muhirwa, D., Nhapi, I., Wali, U.G., Banadda, N., Kashaigili, J.J., & Kimwaga, R.J. (2010). Characterization of wastewater from an Abattoir in Rwanda and the impact on downstream water quality. International Journal of Ecology & Development, 16, 30-46. https://www.researchgate.net/publication/289627985
[Google Scholar] - Aniebo, A. O., Wekhe, S. N., & Okoli, I. C. (2009). Abattoir blood waste generation in Rivers State and its environmental implications in the Niger Delta. Toxicological & Environmental Chemistry, 91(4), 619-625.
[CrossRef] [Google Scholar] - Ruiz, I., Veiga, M. C., De Santiago, P., & Blazquez, R. J. B. T. (1997). Treatment of slaughterhouse wastewater in a UASB reactor and an anaerobic filter. Bioresource Technology, 60(3), 251-258.
[CrossRef] [Google Scholar] - Rahimi, Y., Torabian, A., Mehrdadi, N., & Shahmoradi, B. (2011). Simultaneous nitrification–denitrification and phosphorus removal in a fixed bed sequencing batch reactor (FBSBR). Journal of hazardous materials, 185(2-3), 852-857.
[CrossRef] [Google Scholar] - Rajakumar, R., Meenambal, T., Saravanan, P. M., & Ananthanarayanan, P. (2012). Treatment of poultry slaughterhouse wastewater in hybrid upflow anaerobic sludge blanket reactor packed with pleated poly vinyl chloride rings. Bioresource Technology, 103(1), 116-122.
[CrossRef] [Google Scholar] - Sunder, G. C., & Satyanarayan, S. (2013). Efficient treatment of slaughter house wastewater by anaerobic hybrid reactor packed with special floating media. International Journal of Chemical and Physical Sciences, 2, 73-81.
[Google Scholar] - Gerbens-Leenes, P. W., Mekonnen, M. M., & Hoekstra, A. Y. (2013). The water footprint of poultry, pork and beef: A comparative study in different countries and production systems. Water resources and industry, 1, 25-36.
[CrossRef] [Google Scholar] - Mekonnen, M. M., & Hoekstra, A. Y. (2012). A global assessment of the water footprint of farm animal products. Ecosystems, 15(3), 401-415.
[CrossRef] [Google Scholar] - Valta, K., Kosanovic, T., Malamis, D., Moustakas, K., & Loizidou, M. (2015). Overview of water usage and wastewater management in the food and beverage industry. Desalination and Water Treatment, 53(12), 3335-3347.
[CrossRef] [Google Scholar] - Jensen, P. D., Yap, S. D., Boyle-Gotla, A., Janoschka, J., Carney, C., Pidou, M., & Batstone, D. J. (2015). Anaerobic membrane bioreactors enable high rate treatment of slaughterhouse wastewater. Biochemical Engineering Journal, 97, 132-141.
[CrossRef] [Google Scholar] - Bustillo-Lecompte, C. F., Mehrvar, M., & Quiñones-Bolaños, E. (2014). Cost-effectiveness analysis of TOC removal from slaughterhouse wastewater using combined anaerobic–aerobic and UV/H2O2 processes. Journal of environmental management, 134, 145-152.
[CrossRef] [Google Scholar] - Pant, D., Van Bogaert, G., Diels, L., & Vanbroekhoven, K. (2010). A review of the substrates used in microbial fuel cells (MFCs) for sustainable energy production. Bioresource technology, 101(6), 1533-1543.
[CrossRef] [Google Scholar] - ElMekawy, A., Srikanth, S., Bajracharya, S., Hegab, H. M., Nigam, P. S., Singh, A., ... & Pant, D. (2015). Food and agricultural wastes as substrates for bioelectrochemical system (BES): the synchronized recovery of sustainable energy and waste treatment. Food Research International, 73, 213-225.
[CrossRef] [Google Scholar] - Suganya, S. T., Balaganesan, P., & Rajendran, L. (2019). Mathematical Modeling of Microbial Fuel Cells in Wastewater Treatment-Homotopy Perturbation Method. International Journal of Recent Technology and Engineering, 8(4).
[CrossRef] [Google Scholar] - Kundu, P., Debsarkar, A., & Mukherjee, S. (2013). Treatment of slaughter house wastewater in a sequencing batch reactor: performance evaluation and biodegradation kinetics. BioMed research international, 2013(1), 134872.
[CrossRef] [Google Scholar] - Mohammed, A. J., & Ismail, Z. Z. (2018). Slaughterhouse wastewater biotreatment associated with bioelectricity generation and nitrogen recovery in hybrid system of microbial fuel cell with aerobic and anoxic bioreactors. Ecological Engineering, 125, 119-130.
[CrossRef] [Google Scholar] - Mohammed, H. K., Al-Alawy, A. F., Abbas, T. R., Al-Mosawi, A. I., & Salih, M. H. (2024). Mathematical modeling of osmotic membrane bioreactor process for oily wastewater treatment. Water Science & Technology, 90(7), 2234-2250.
[CrossRef] [Google Scholar]
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APA Style
Gowthaman, D., Begum, A. S., Suganya, S. T., Rafiq, M., & Khan, M. I. (2025). Mathematical Modeling of an Integrated Microbial Fuel Cell-Bioreactor System for Slaughterhouse Wastewater Treatment. International Journal of Thermo-Fluid Systems and Sustainable Energy, 1(2), 96–107. https://doi.org/10.62762/IJTSSE.2025.805399
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TY - JOUR AU - Gowthaman, D. AU - Begum, A. Shamadhani AU - Suganya, S. Thamizh AU - Rafiq, Muhammad AU - Khan, Muhammad Ijaz PY - 2025 DA - 2025/12/28 TI - Mathematical Modeling of an Integrated Microbial Fuel Cell-Bioreactor System for Slaughterhouse Wastewater Treatment JO - International Journal of Thermo-Fluid Systems and Sustainable Energy T2 - International Journal of Thermo-Fluid Systems and Sustainable Energy JF - International Journal of Thermo-Fluid Systems and Sustainable Energy VL - 1 IS - 2 SP - 96 EP - 107 DO - 10.62762/IJTSSE.2025.805399 UR - https://www.icck.org/article/abs/IJTSSE.2025.805399 KW - microbial fuel cell KW - mathematical model KW - Nernst-Monod model KW - slaughterhouse wastewater KW - new homotopy perturbation method KW - nonlinear equations KW - nitrification and de-nitrification model AB - This study presents an analytical mathematical model for an integrated microbial fuel cell--oxic--anoxic bioreactor (MFC--OB--ANB) system designed for simultaneous slaughterhouse wastewater treatment and energy recovery. The model incorporates bioelectrochemical oxidation, nitrification, and denitrification processes using acetate as a representative substrate. Closed-form analytical solutions are derived for substrate degradation, nitrogen transformation, current density, and system voltage. The effects of biofilm thickness, membrane conductivity, and influent substrate concentration on treatment efficiency and power generation are systematically investigated. Results reveal that enhanced biofilm conductivity and reduced membrane resistance significantly improve energy recovery, while optimized substrate loading enhances nitrogen removal performance. The proposed framework provides valuable insights for the design and optimization of integrated bioelectrochemical wastewater treatment systems. SN - 3069-1877 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Gowthaman2025Mathematic,
author = {D. Gowthaman and A. Shamadhani Begum and S. Thamizh Suganya and Muhammad Rafiq and Muhammad Ijaz Khan},
title = {Mathematical Modeling of an Integrated Microbial Fuel Cell-Bioreactor System for Slaughterhouse Wastewater Treatment},
journal = {International Journal of Thermo-Fluid Systems and Sustainable Energy},
year = {2025},
volume = {1},
number = {2},
pages = {96-107},
doi = {10.62762/IJTSSE.2025.805399},
url = {https://www.icck.org/article/abs/IJTSSE.2025.805399},
abstract = {This study presents an analytical mathematical model for an integrated microbial fuel cell--oxic--anoxic bioreactor (MFC--OB--ANB) system designed for simultaneous slaughterhouse wastewater treatment and energy recovery. The model incorporates bioelectrochemical oxidation, nitrification, and denitrification processes using acetate as a representative substrate. Closed-form analytical solutions are derived for substrate degradation, nitrogen transformation, current density, and system voltage. The effects of biofilm thickness, membrane conductivity, and influent substrate concentration on treatment efficiency and power generation are systematically investigated. Results reveal that enhanced biofilm conductivity and reduced membrane resistance significantly improve energy recovery, while optimized substrate loading enhances nitrogen removal performance. The proposed framework provides valuable insights for the design and optimization of integrated bioelectrochemical wastewater treatment systems.},
keywords = {microbial fuel cell, mathematical model, Nernst-Monod model, slaughterhouse wastewater, new homotopy perturbation method, nonlinear equations, nitrification and de-nitrification model},
issn = {3069-1877},
publisher = {Institute of Central Computation and Knowledge}
}
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Copyright © 2025 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
International Journal of Thermo-Fluid Systems and Sustainable Energy
ISSN: 3069-1877 (Online)
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