Nonlinear Steady-State VOC and Oxygen Modeling in Biofiltration

This paper compares analytical solutions for steady-state volatile organic compounds (VOC) and oxygen concentrations in the context of bio-filtration modeling. Based on a set of nonlinear reaction/diffusion equations, this model consists of the following components:A nonlinear term from Monod kinetics and Andrew kinetics.A Monod kinetics, interactive model.An Andrews kinetics, interactive model.The theoretical findings are helpful in the design of bio-filters. The ability of two independent strategies, the Akbar Ganji Method (AGM) and the Homotopy perturbation Method (HPM), to forecast steady-state concentrations is tested. The study investigates the advantages and disadvantages of both techniques, shedding insight into their practical usefulness in bio-filtration systems. The outcomes of this study lead to a better understanding of bio-filtration processes. They could influence the design.