Mathematical Modelling of a Composite Granular Filter of Effluent at Shirere Wastewater Treatment Plant in Kakamega County, Kenya

Authors

  • Otenyo Makonjio Philip Masinde Muliro University of Science and Technology, Department of Disaster Preparedness and Engineering Management, P.O. Box 190-50100 Kakamega, Kenya
  • Masibayi Namusasi Edward dMasinde Muliro University of Science and Technology, Department of Disaster Preparedness and Engineering Management, P.O. Box 190-50100 Kakamega, Kenya
  • K’Owino Owino Isaac Masinde Muliro University of Science and Technology, Department of Disaster Preparedness and Engineering Management, P.O. Box 190-50100 Kakamega, Kenya
  • Samuel Soita China Masinde Muliro University of Science and Technology, Department of Disaster Preparedness and Engineering Management, P.O. Box 190-50100 Kakamega, Kenya

Keywords:

wastewater treatment, modelling, mass balance, composite granular filter, filter depth, Hydraulic retention time

Abstract

Insufficient technology for municipal wastewater treatment compromises the quality of effluent discharged into water bodies, elevating the risk of waterborne diseases (e.g., cholera, dysentery, typhoid). Previous research has associated the absence of clean water and sanitation with health issues such as skin problems, eye infections, and diarrhea among community members. Furthermore, studies indicate the proliferation of algae in the Shirere wastewater oxidation ponds, suggesting the presence of toxic cyanobacteria. Therefore, this study aimed to develop a mathematical model representing five critical parameters: COD, BOD, TSS, Phosphates, and Nitrates. Effluent from Shirere WWTP were collected for microbial quality analysis at MMUST and KACUWASCO laboratories. Data analysis involved, regression and correlation, and integration of wastewater mass balance equation using R-Programming and Fourth Order Runga Kutta (RK) method. The research employed  purposeful sampling strategy, with a sample size of 8 of wastewater. The study followed an experimental design. Specifically, for the first season of March – May 2021 at 200mm filtration depth were carried out at effluent flow rate of 0.0032  and volume, 0.234   the model arrived at was . The model results showed minimal variation from the measured values.The first season measured COD as 0.236kg/m3 and model gave 0.2174kg/m3. The model can be used in prediction of parameter concentrations at any given time. The findings of this research will inform wastewater management policies and contribute to the development of sustainable wastewater treatment technologies.

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Published

2023-11-18

How to Cite

Otenyo Makonjio Philip, Masibayi Namusasi Edward, K’Owino Owino Isaac, & Samuel Soita China. (2023). Mathematical Modelling of a Composite Granular Filter of Effluent at Shirere Wastewater Treatment Plant in Kakamega County, Kenya. American Scientific Research Journal for Engineering, Technology, and Sciences, 96(1), 78–106. Retrieved from https://www.asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/9600

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Vol. 96 No. 1 (2023)

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