Mathematical modelling of a composting process, and validation with experimental data

Abstract

The present study aimed to develop a mathematical model of composting which, while not overlooking the fundamental principles of physical and microbiological chemistry, could be easily applied in practice and be validated by experimental data. The experimental results of the biological aerobic decomposition of a mixture consisting of rice and rice husks, could be explained in terms of the parameter aggregation model, assuming a set of pseudo-first-order reactions in series, in which a hydrolysis step is followed by a biochemical oxidative step with formation of compost, biomass and biological gases (CO2, O 2). The corresponding kinetic parameters and their temperature dependence were determined. These parameters indicated that the hydrolysis step was always the slowest one, and, therefore, the overall rate-determining step. This is in substantial agreement with our experimental observations of a non-dependency of the overall rate on the oxygen concentration, and suggests that rather than using mesophilic and thermophilic bacteria and fungi for seeding or accelerating the process, adequate hydrolytic enzymes (or related micro-organisms) should be added, instead.