On mathematical modeling a biological wastewater treatment process (for discussion)

Summary

The process of interaction between an organic pollutant and activated sludge underlies the biological wastewater treatment technologies at the wastewater treatment facilities. A mathematical dynamic model of such a process is proposed that is a system of two nonlinear differential equations that quantitatively show how the treatment process proceeds over time. While developing a model, considerations and arguments of a physical nature are given in detail for the inclusion of each member in it. The conditions for using a palliative version of the developed model, i.e., its linearized version, are discussed. As a result of calculations made using the model, for some situations analytical expressions were obtained that connected the parameters of the treatment process with the characteristics of the organic pollutant and activated sludge.

Key words

wastewater treatment , activated sludge , organic pollutant , dynamic mathematical model , linearization , analytical results