Mathematical modeling of unsteady combustion of coke sedimentations in a catalyst layer with a spherical grain

The article develops a mathematical model for burning coke sedimentations from a layer of an aluminosilicate cracking catalyst with a spherical grain, taking into account heterogeneous detailed chemical reactions. The model is a system of equations of mathematical physics with initial and boundary conditions. An explicit-implicit computational algorithm has been developed for the constructed mathematical model. A comparison of the calculation results with experimental data on the material balance and theoretical estimates for temperature revealed the adequacy of the mathematical model and computational algorithm.