Abstract
Purpose. The main purpose of the article is to develop a numerical model for the analysis of the process of biological wastewater treatment in a reactor with a mobile biocenosis. Methodology. For mathematical modeling of the process of biological wastewater treatment in a reactor with a moving biocenosis, a hydrodynamic model of a non-viscous vortex-free flow is used. We calculated the boundary conditions for the modeling equation on the surfaces of the bioreactor, solid walls, and the upper surface; at the inlet boundary; at the outlet boundary from the building. To calculate the process of movement of activated sludge and substrate in the bioreactor, a mass transfer model is used, which takes into account the convective-diffusion movement of the substrate and activated sludge. The process of biological water purification in that part of the bioreactor where there are no mobile biocenosis carriers will be calculated based on the Monod model. The process of biological water purification in the part of the bioreactor where there are mobile carriers is calculated on the basis of an empirical model in three stages. The first stage is determined using the Harremoes model. At the second stage, the rate of substrate «consumption» in the biofilm is calculated. At the third stage, the change in the substrate concentration in the zone where the biocenosis carriers are located is determined due to convective movement, substrate diffusion in the flow and its destruction in the biofilm on the carriers. The chaotic motion of biocenosis carriers in the reactor is modeled based on the parabolic diffusion equation. Finite-difference schemes are used for numerical integration of modeling equations. Findings. The software implementation of the constructed numerical model is carried out. A computational experiment to determine the efficiency of biological wastewater treatment in different parts of the bioreactor was conducted. Originality. An effective multifactorial numerical model has been created, which allows quick analysis of the efficiency of biological wastewater treatment in an aeration tank with mobile biocenosis carriers. Practical value. The created two-dimensional numerical model can be used for serial calculations at the stage of designing biological wastewater treatment systems and analysis of the efficiency of bioreactors under different operating conditions.
Highlights
The main purpose of the article is to develop a numerical model for the analysis of the process of biological wastewater treatment in a reactor with a mobile biocenosis
The process of biological water purification in that part of the bioreactor where there are no mobile biocenosis carriers will be calculated based on the Monod model
The created twodimensional numerical model can be used for serial calculations at the stage of designing biological wastewater treatment systems and analysis of the efficiency of bioreactors under different operating conditions
Summary
Процес біологічного очищення води в тій частині біореактора, де немає рухомих носіїв біоценозу, розраховано на базі моделі Monod. Рівняння для розрахунку біологічного очищення стічних вод у тій частині споруди де немає рухомого біоценозу. 2. Рівняння для розрахунку біологічного очищення води в тій частині споруди, де є рухомий біоценоз 3–8 показано розподіл концентрації субстрату та концентрації рухомих носіїв біоценозу в реакторі для різних моментів часу. Що найбільш активно процес очищення стічних вод проходить всередині зони No 2, тобто зони розташування рухомих носіїв біоценозу. 1 показано розподіл концентрації рухомих носіїв біоценозу на початку зони їх розташування в біореакторі (початок зони No 2, рівень y = 2 м), а в табл. Унаслідок такої зміни буде мати місце зміна ефективності очищення стічних вод у зоні розташування рухомих носіїв біоценозу.
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