Modeling and calculations of waste water treatment from nitrogen compounds in bioreactors with the use of biofilm models




model, cleaning, nitrogen compounds, biofilm, bioreactor, oxygen, concentration


The mathematic model and calculations of the waste waters cleaning parameters from the compounds ammonium nitrogen (nitrification) in bioreactors with the additional using of the fixed biocenosis as the biofilm in their volume are proposed. The valuation of the different influence factors on the waste waters cleaning parameters is given. The kinetics of reaction according to the Monod nonlinear equation is used that allowed us to calculate the nitrogen concentrations on the external and internal biofilm surfaces and to evaluate the efficiency of the biofilm work of the given thickness relative to the penetration character of the nitrogen pollutions in it. At this, the substrate flow and the penetration depth into the biofilm are functions of the substrate concentration on the biofilm surface, rate of the reaction within it, and the diffusive mass transfer. As a main parameter for the evaluation of the oxygen influence for the control over the process of ammonium oxidation to nitrite, the relation of the concentrations oxygen to ammonium nitrogen is proposed. The specific examples and calculations have showed that the given relation may be a better alternative for the control over the nitrification processes in the reactor in comparison with oxygen concentration.


Henze, M., Harremoes, P., Jansen, C. & Arwin, E. (2007). Wastewater Treatment. Berlin, New York: Springer.

Yakovlev, S. V. & Voronov, Yu. V. (2002). Drainage and wastewater treatment. Moscow: ACB (in Russian).

Gujer, W. (2010). Nitrification and me – A subjective review. Water. Res. No. 44. pp. 1-19.

Oleynik, A. Ya. & Teterya, A. I. (2001). Peculiarities of modeling nitrogen removal processes from waste water at small-scale biological treatment plants. Applied Hydromechanics. 3 (75), № 3, pp. 59-65 (in Russian).

Henze, M., M. Van Loosdrecht, M. E., Ekama, G. A. & Brdjanovic, D. (2008). Biological Wastewater Treatment. London: IWA Publishing.

Wanner, O., Ebert, N. I. & Rittman, B. E. (2006). Mathematical Modeling of biofilms. Scientifical Technical report, № 18.

Perez, M., Piccioreanu, C. & van Loosdrecht, M. (2005). Modeling biofilm and flosdiffusion processes based on analytical solution of reaction – diffusion equations. Water Res., 39, pp. 1311-1323.

Zhu, S. & Chen, S. (2002). The impact of temperature on nitrification rate in fixed film biofilters. Aquacul. Eng. 26. pp. 331-237.

Shabbir, H. G., Rupa, K. P. & Ajit, P. A. (2004). Nitrification modeling in biofilms under inhibitory conditions. Water. Res. № 38, pp. 3179-3188.



How to Cite

Oliynyk О., Telyma С., Kalugin Ю., & Oliynyk Е. (2021). Modeling and calculations of waste water treatment from nitrogen compounds in bioreactors with the use of biofilm models. Reports of the National Academy of Sciences of Ukraine, (5), 39–49.