Mathematical Modelling of a Composite Granular Filter of Effluent at Shirere Wastewater Treatment Plant in Kakamega County, Kenya
Keywords:wastewater treatment, modelling, mass balance, composite granular filter, filter depth, Hydraulic retention time
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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