Abstract:
The article presents developed by the author mathematical model of an unsteady physico-chemical process in a catalyst layer with a cylindrical grain shape. The computational algorithm used to solve equations based on the splitting by physical processes is described. The accuracy order of the algorithm is defined. His verification was carried out on a problem with a known analytical solution. Based on the developed model and the constructed algorithm, three modes of the flow of an unsteady process are investigated, and confirmation of the dynamic mode effectiveness in comparison with the static one is obtained.
Keywords:mathematical modeling, numerical methods, hyperbolic model, chemical kinetics, dynamic mode.
UDC:519.63
Presented:B. N. Chetverushkin Received: 26.10.2025 Revised: 11.11.2025 Accepted: 12.11.2025
