Abstract:
The article is devoted to the construction and investigation of an averaged mathematical model of an aluminum-cobalt-molybdenum hydrocracking catalyst oxidative regeneration. The oxidative regeneration is an effective means of restoring the activity of the catalyst when its granules are coating with coke scurf.
The mathematical model of this process is a nonlinear system of ordinary differential equations, which includes kinetic equations for reagents' concentrations and equations for changes in the temperature of the catalyst granule and the reaction mixture as a result of isothermal reactions and heat transfer between the gas and the catalyst layer. Due to the heterogeneity of the oxidative regeneration process, some of the equations differ from the standard kinetic ones and are based on empirical data. The article discusses the scheme of chemical interaction in the regeneration process, which the material balance equations are compiled on the basis of. It reflects the direct interaction of coke and oxygen, taking into account the degree of coverage of the coke granule with carbon-hydrogen and carbon-oxygen complexes, the release of carbon monoxide and carbon dioxide during combustion, as well as the release of oxygen and hydrogen inside the catalyst granule. The change of the radius and, consequently, the surface area of coke pellets is taken into account. The adequacy of the developed averaged model is confirmed by an analysis of the dynamics of the concentrations of substances and temperature.
The article presents a numerical experiment for a mathematical model of oxidative regeneration of an aluminum-cobalt-molybdenum hydrocracking catalyst. The experiment was carried out using the Kutta–Merson method. This method belongs to the methods of the Runge–Kutta family, but is designed to solve stiff systems of ordinary differential equations. The results of a computational experiment are visualized.
The paper presents the dynamics of the concentrations of substances involved in the oxidative regeneration process. A conclusion on the adequacy of the constructed mathematical model is drawn on the basis of the correspondence of the obtained results to physicochemical laws. The heating of the catalyst granule and the release of carbon monoxide with a change in the radius of the granule for various degrees of initial coking are analyzed. There are a description of the results.
In conclusion, the main results and examples of problems which can be solved using the developed mathematical model are noted.
Keywords:
catalyst oxidative regeneration, chemical kinetics, nonlinear systems of ordinary differential equations, Kutta–Merson numerical method.
Citation:
I. M. Gubaydullin, O. S. Yazovtseva, “Investigation of the averaged model of coked catalyst oxidative regeneration”, Computer Research and Modeling, 13:1 (2021), 149–161
\Bibitem{GubYaz21}
\by I.~M.~Gubaydullin, O.~S.~Yazovtseva
\paper Investigation of the averaged model of coked catalyst oxidative regeneration
\jour Computer Research and Modeling
\yr 2021
\vol 13
\issue 1
\pages 149--161
\mathnet{http://mi.mathnet.ru/crm874}
\crossref{https://doi.org/10.20537/2076-7633-2021-13-1-149-161}
Linking options:
https://www.mathnet.ru/eng/crm874
https://www.mathnet.ru/eng/crm/v13/i1/p149
This publication is cited in the following 8 articles:
O. S. Yazovtseva, “Primenenie giperbolizatsii v diffuzionnoi modeli geterogennogo protsessa na sfericheskom zerne katalizatora”, Sib. zhurn. vychisl. matem., 27:4 (2024), 457–471
O. S. Yazovtseva, “Application of Hyperbolization in a Diffusion Model of a Heterogeneous Process on the Spherical Catalyst Grain”, Numer. Analys. Appl., 17:4 (2024), 384
Olga S. Yazovtseva, Irek M. Gubaydullin, Elizaveta E. Peskova, Lev A. Sukharev, Andrey N. Zagoruiko, “Computer Simulation of Coke Sediments Burning from the Whole Cylindrical Catalyst Grain”, Mathematics, 11:3 (2023), 669
Olga S. Yazovtseva, Irek M. Gubaydullin, Elizaveta E. Peskova, Arina A. Usmanova, Andrey N. Zagoruiko, Communications in Computer and Information Science, 1868, Parallel Computational Technologies, 2023, 336
O. S. Yazovtseva, I. M. Gubaydullin, A. S. Inshakova, E. E. Peskova, D. A. Rodkina, “Investigation of Material Balance in the Model of Oxidative Regeneration of a Spherical Grain”, Tech. Phys., 68:7 (2023), 147
Olga Yazovtseva, Olga Grishaeva, Irek Gubaydullin, Elizaveta Peskova, Communications in Computer and Information Science, 1618, Parallel Computational Technologies, 2022, 248
I. M. Gubaydullin, E. E. Peskova, O. S. Yazovtseva, A. N. Zagoruiko, “Numerical simulation of oxidative regeneration of a spherical catalyst grain”, Math. Models Comput. Simul., 15:3 (2023), 485–495
O V Dubinets, I M Gubaidullin, R M Uzyanbaev, M K Vovdenko, I G Lapshin, “Application of the genetic algorithm method in the problem of chemical kinetics of the oxidative regeneration process”, J. Phys.: Conf. Ser., 2131:2 (2021), 022007
Citation in format AMSBIB
Contact us: