2024 № 1-2 Інформатика i моделювання
Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/79769
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Документ Identification of the coefficient in the diffusion model of hydrodynamic flow in a chemical reactor(Національний технічний університет "Харківський політехнічний інститут", 2024) Gamzaev, Kh. M.; Bayramova, N.Kh.A chemical technological process taking place in a chemical reactor with a second-order chemical reaction is considered. A one-parameter diffusion model for nonstationary flows is proposed for the mathematical description of the hydrodynamic flow in the reactor. Within the framework of the proposed model, the task is set to identify the longitudinal mixing coefficient according to an additionally specified condition regarding the concentration of the reagent under study at the outlet of the reactor. A special representation is proposed for the diffusion terms in the hydrodynamic flow model in the reactor. The method of difference approximation is used to construct a discrete analogue of this model using explicit-implicit time approximation for diffusion terms. Decomposition is used to numerically solve the resulting system of linear difference equations, as a result of which the system of difference equations for each discrete value of a time variable splits into two mutually independent linear subsystems, each of which can be solved independently, independently of each other. As a result, an explicit formula was obtained for determining the approximate value of the longitudinal mixing coefficient in a hydrodynamic flow. Based on the proposed computational algorithm, numerical calculations were performed for model problems.