This paper deals with the mathematical modelling of a biological process to remove organic compounds from industrial waste gas. Modelling results will be compared with experimental data from measurements utilizing a laboratory-scale trickle-bed bioreactor. In such an apparatus, the biodegradation of the organic pollutants takes place via aerobic oxidation in a biofilm, which is immobilized on a packing material. Two organic compounds were chosen as model pollutants, i.e. ethanol and polyalkylated benzenes. In addition, data from the literature of a third compound, dichloromethane, will be analysed. The mathematical model used in this work is based on the stationary differential mass balances along the reactor height together with the corresponding reaction terms. The experiments with ethanol reveal that over a large range of gas inlet concentrations, the rate limiting factor of the degradation process is oxygen limitation. The reason for this is the small partition coefficient of ethanol resulting in large liquid concentrations. Thus, the pollutant is mineralized at a relatively high rate until dissolved oxygen inside the biofilm is depleted. In these cases, model calculations with a zeroth-order reaction term describe the experimental data well. The experiments with polyalkylated benzenes reveal that substrate limitation occurs within the relevant range of gas inlet concentrations. The reason for this is the large partition coefficient resulting in small liquid concentrations. Thus, first-order reaction applies. Again, a rather good agreement of model and experiment is achieved. The analysis of the data of dichloromethane yields kinetic data within the transition regime of first-order and zeroth-order reaction rates. Thus, no significant difference is observed with the model calculations using either reaction order. The mathematical model presented can serve as a basis for proper design, up-scaling, and control strategies of trickle-bed bioreactors.
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