Title | Application of a 16-component kinetic model of catalytic cracking to evaluate the activity of catalysts |
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Authors | G. I. Mannanova^{1}, G. R. Bikbova^{2}, I. M. Gubaydullin^{1, 2}, K. F. Koledina^{1, 2}^{1}Institute of Petrochemistry and Catalysis of the Russian Academy of Sciences ^{2}Ufa State Petroleum Technological University |

Annotation | This article presents calculations of the kinetic parameters of the process of catalytic cracking of vacuum gas oil for two different catalysts. For calculations, a 16-component kinetic model of catalytic cracking developed by the authors is used, with the help of which it is possible to estimate the quantity and quality indicators of the target and by-products of the process: gasoline, propane-propylene and butane-butylene fractions, light and heavy catalytic gas oils. To solve the direct problem, which is a Cauchy problem for a system of differential equations, the Runge-Kutta method of 4 orders is applied, to solve the inverse problem, which consists in selecting the rate constants of chemical transformations, the method of direct search for the minimum value of the sum of deviations of calculated concentrations from experimental ones is used. The activation energy was determined by the Arrhenius equation. As a result of the calculations, the kinetic parameters are given: the constants of the reaction rates, the activation energies for the process of catalytic cracking using two catalysts, as well as their comparison. |

Keywords | activation energy, catalytic cracking, catalyst, direct and inverse kinetics problem, kinetic model, reaction rate constant |

Citation | Mannanova G. I., Bikbova G. R., Gubaydullin I. M., Koledina K. F. ''Application of a 16-component kinetic model of catalytic cracking to evaluate the activity of catalysts'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 156-167. Available at: https://conf.svmo.ru/files/2021/papers/article04.pdf. - Date of access: 04.12.2023. |

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

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