ANALYSIS OF SPATIAL NONLINEAR
SYSTEMS OF DIFFUSION TYPE WITH DELAY
Andrii Safonyk1, Ihor Ilkiv2 1National University of Water
and Environmental Engineering
Rivne - 33018, UKRAINE 2 Rivne State University of Humanities
Rivne, 31 Plastova St., 33000, UKRAINE
A spatial mathematical model of biological wastewater treatment depending on the system temperature is presented. The model investigates the relationship between the characteristics of the processes occurring at the treatment plant and offers an algorithm to solve the relevant feature of the perturbation problem and describes the process itself. The graphical relationships and dependencies between the process parameters obtained in the process of work are effective for further theoretical research aimed at optimizing the parameters of the cleaning process, namely: loading time, filter size, etc. In the process of filtration, the shape of the filter plays a significant role because it affects the performance by increasing or decreasing the filtration capacity. The influence of external factors on temperature calculations on the basis of heat transfer equations and laws of thermodynamics is investigated. The effect of water temperature and oxygen concentration on the ability to absorb activated sludge was studied. The results of the distribution of the concentration of contaminants and the temperature field during the purification of the liquid are presented. The dependence of bacterial activity on water temperature has been studied, which allows to increase the accuracy of forecasting and to develop the automation of the biological wastewater treatment process.
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