Mathematical modeling and algorithm for calculation of thermocatalytic process of producing nanomaterial
Ismailov B. Umarova Z. Ismailov K. Dosmakanbetova A. Meldebekova S.
September 2021Institute of Advanced Engineering and Science
Indonesian Journal of Electrical Engineering and Computer Science
2021#23Issue 31590 - 1601 pp.
At present, when constructing a mathematical description of the pyrolysis reactor, partial differential equations for the components of the gas phase and the catalyst phase are used. In the well-known works on modeling pyrolysis, the obtained models are applicable only for a narrow range of changes in the process parameters, the geometric dimensions are considered constant. The article poses the task of creating a complex mathematical model with additional terms, taking into account nonlinear effects, where the geometric dimensions of the apparatus and operating characteristics vary over a wide range. An analytical method has been developed for the implementation of a mathematical model of catalytic pyrolysis of methane for the production of nanomaterials in a continuous mode. The differential equation for gaseous components with initial and boundary conditions of the third type is reduced to a dimensionless form with a small value of the peclet criterion with a form factor. It is shown that the laplace transform method is mainly suitable for this case, which is applicable both for differential equations for solid-phase components and calculation in a periodic mode. The adequacy of the model results with the known experimental data is checked.
Laplace transform Mathematical modeling Nanomaterials Numerical algorithm Periodic and continuous modes Thermocatalytic pyrolysis
Text of the article Перейти на текст статьи
Department of Information Systems and Modeling, M. Auezov South Kazakhstan University, Kazakhstan
Department Technological machines and equipment, M. Auezov South Kazakhstan University, Kazakhstan
Department of Computing technology and software, M. Auezov South Kazakhstan University, Kazakhstan
Department of Information Systems and Modeling
Department Technological machines and equipment
Department of Computing technology and software
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026