In this work, we are interested in the mathematical analysis of the model of a bioreactor based on the results of a model already implemented in ADM1. The study is based on the expectations of Burkinabè households with biodigesters of 4m³, 6 m³, 8 m³or more in terms of biogas production capacity. It is an observability analysis and estimation scheme for specific growth rates for an anaerobic digestion (AD) process of cow dung. A 1- stage model of 3 dynamic states is assumed describing all anaerobic digestion with a different population of microorganisms, and the evaluation of biogas production (methane + carbon dioxide). The result of specific growth rates (µmax= 0.44d⁻¹) of bacterial populations' concentration (24gL⁻¹ ± 2.3%) and substrate concentration (6.5gL⁻¹± 0.5%) are estimated from the dilution rate and biogas. Thus, biogas production ranges from 0 to 3.5 m³ per day, more than sufficient for three daily meals for a 4-person household. Overall, the dynamics of anaerobic digestion appear to depend on the type of organic matter contained in cow substrates.
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Bagaya et al. (2024) studied this question.
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