Title | Numerical simulation of oxidative regeneration of a spherical catalyst layer |
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Authors | O. S. Yazovtseva^{1}, I. M. Gubaydullin^{2}, A. N. Zagoruiko^{3}^{1}Steklov Mathematical Institute of Russian Academy of Sciences ^{2}Institute of Petrochemistry and Catalysis of RAS ^{3}Boreskov Institute of Catalysis SB RAS |

Annotation | The article presents the results of numerical simulation of a spherical catalyst layer with single-stage kinetics. The model is described by partial differential equations. The diffusion-reaction equations correspond to the material balance of the reaction's gas phase in the grain pores. The inhomogeneous equation of heat conductivity corresponds to the heat balance. The decrease in the mass fraction of coke sediments on the catalyst grain is described by an ordinary differential equation. Heat and mass transfer in the reaction mixture layer is taken into account. The computational algorithm is constructed using the integro-interpolation method. The results of the software are the profiles of the distribution of temperature fields across the catalyst layer, the dynamics of the mass fractions of the reaction mixture in the catalyst layer, the average values of the concentrations of substances in the catalyst grain. |

Keywords | mathematical modeling, integro-interpolation method, diffusion-reaction equations, heat conductivity equation, oxidative regeneration |

Citation | Yazovtseva O. S., Gubaydullin I. M., Zagoruiko A. N. ''Numerical simulation of oxidative regeneration of a spherical catalyst layer'' [Electronic resource]. Proceedings of the XVI International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 17-20, 2023). Saransk: SVMO Publ, 2023. - pp. 286-288. Available at: https://conf.svmo.ru/files/2023/papers/paper47.pdf. - Date of access: 02.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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