Mathematical modeling of a non-stationary chemical process in a cylindrical catalyst grain

The article is devoted to the development and analysis of a mathematical model of a nonstationary process in a cylindrical catalyst grain in two statements: a two-dimensional axisymmetric formulation and in three-dimensional cylindrical coordinates. Computational algorithms are based on the finite volume method with splitting by physical processes. Regularization by B. N. Chetverushkin was applied for two-dimensional and three-dimensional spatial problems to reduce the calculation time in the parabolic equations of the models. A significant acceleration in the operation of the algorithm for hyperbolic problems in comparison with parabolic ones has been revealed. The deviation of the solutions of perturbed hyperbolic systems from the solutions of the original parabolic ones is analyzed. The data on the oxidative regeneration of the cracking catalyst grain obtained using the developed model and the constructed algorithm are checked for adequacy by comparison with the data obtained from the stoichiometric reaction equation. A good consistency of calculated and theoretical data on oxygen consumption has been obtained.