A mathematical model of the process of aerobic treatment of wastewater has been refined. It takes into account the interaction of bacteria, as well as of organic and biologically nonoxidizing substances under conditions of diffusion and mass transfer perturbations. An algorithm of the solution of the corresponding nonlinear perturbed problem of convection–diffusion–mass transfer type has been constructed, with a computer experiment carried out based on it. The influence of the concentration of oxygen and of activated sludge on the quality of treatment is shown. Within the framework of the model suggested, a possibility of automated control of the process of deposition of impurities in a biological filter depending on the initial parameters of the water medium is suggested.
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References
S. V. Yakovlev and Yu. V. Voronov, Water Diversion and Wastewater Treatment, Textbook for Universities [in Russian], 4th enlarged and revised edn., Izd. ASV, Moscow (2006).
A. I. Svyatenko and L. G. Korniiko, Calculations of the process of biological clearing of municipal wastewater with the aid of mathematical models with account of the structure of flows, Ékol. Bezop., 3, No. 7, 77–80 (2009).
A. V. Kozachek, I. M. Avdashin, and V. A. Luzgachev, Investigation of the mathematical model of the process of aerobic treatment of wastewater as a stage of evaluating the quality of the surrounding water medium, Vestn. Tambovsk. Gos. Tekh. Univ., 9, Issue 5, 1683–1685 (2014).
A. Safonyk, Modelling the filtration processes of liquids from multicomponent contamination in the conditions of authentication of mass transfer coefficient, Int. J. Math. Models Methods Appl. Sci., Nо. 9, 189–192 (2015).
A. Ya. Bomba, V. I. Gavrilyuk, A. P. Safonik, and É. A. Fursachik, Nonlinear Problems of Convection–Diffusion–Mass Transfer Type under Conditions of Incomplete Data [in Russian], National University of Water Management and Natural Resources Use, Rovno (2011).
A. Bomba and A. Safonyk, Mathematical modeling of aerobic wastewater treatment in porous medium, Zeszyty Naukowe WSInf., 12, No. 1, 21–29 (2013).
V. Adetola, D. Lehrer, and M. Guay, Adaptive estimation in nonlinearly parameterized nonlinear dynamical systems, American Control Conf. on O’Farrell Street, San Francisco, USA (2011), pp. 31–36.
B. Boulkroune, M. Darouach, S. Gille, et al., A nonlinear observer for an activated sludge wastewater treatment process, American Control Conf., USA (2009), pp. 1027–1033.
V. Orlov, A. Safonyk, S. Martynov, et al., Simulation of the process of iron removal from the underground water by polystyrene foam filters, Int. J. Pure Appl. Math., 109, No. 4, 881–888 (2016).
D. Brune, Optimal control of the complete-mix activated sludge process, Env. Technol., No. 6(11), 467–476 (1985).
D. Dochain and P. Vanrolleghem, Dynamical Modelling and Estimation in Wastewater Treatment Processes, IWA Publishing, London (2001).
M. Henze, G. Р. L. Grady, W. Gujer, et al., Activated Sludge Model No. 1, IAWPRC Sci. Tech. Report 1, London (1987).
M. Henze, W. Gujer, T. Mino, et al., Activated Sludge Models ASM1, ASM2, ASM2d and ASM3, IWA Sci. Tech. Report 9, London (2000).
G. D. Knightes and G. A. Peters, Statistical analysis of nonlinear parameter estimation for Monod biodegradation kinetics using bivariate data, Biotechnol. Bioeng., 69, No. 2, 160–170 (2000).
Q. Ghai, Modeling, Estimation and Control of Biological Wastewater Treatment Plants, PhD Thesis at Telemark University College, Porsgrunn (2008).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 2, pp. 338–344, March–April, 2018.
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Bomba, A.Y., Safonik, A.P. Mathematical Simulation of the Process of Aerobic Treatment of Wastewater under Conditions of Diffusion and Mass Transfer Perturbations. J Eng Phys Thermophy 91, 318–323 (2018). https://doi.org/10.1007/s10891-018-1751-x
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DOI: https://doi.org/10.1007/s10891-018-1751-x