Abstract:
A mathematical model of a two-phase chemically active medium of gas and solid ultrafine particles in the field of laser radiation with detailed heat transfer processes between gas and particles has been created. The mathematical model is a system of NavierStokes equations in the approximation of small Mach numbers and several temperatures, which describes the dynamics of a viscous multicomponent heat-conducting medium with diffusion, chemical reactions and energy supply through laser radiation. A computational algorithm has been developed for studying chemical processes in a gas-dust medium with single-velocity dynamics of a multicomponent gas under the action of laser radiation. This mathematical model is characterized by the presence of several very different temporal and spatial scales. The computational algorithm is based on the scheme of splitting by physical processes. For a two-phase medium from a multicomponent gas and nanodispersed solid particles, theoretical studies of multidirectional processes of thermal relaxation and specific heating-cooling of the components of a two-phase medium by laser radiation, thermal effects of chemical reactions, and intrinsic radiation of particles were carried out. It is shown that laser radiation can form a separation of the particle temperature from the gas temperature and provide the activation of methane with conversion to ethylene and hydrogen. The developed numerical model will find its application in the creation of new technologies of laser thermochemistry.
Citation:
V. N. Snytnikov, E. E. Peskova, O. P. Stoyanovskaya, “Mathematical model of a two-temperature medium of gassolid nanoparticles with laser methane pyrolysis”, Mat. Model., 35:4 (2023), 24–50; Math. Models Comput. Simul., 15:5 (2023), 877–893
\Bibitem{SnyPesSto23}
\by V.~N.~Snytnikov, E.~E.~Peskova, O.~P.~Stoyanovskaya
\paper Mathematical model of a two-temperature medium of gassolid nanoparticles with laser methane pyrolysis
\jour Mat. Model.
\yr 2023
\vol 35
\issue 4
\pages 24--50
\mathnet{http://mi.mathnet.ru/mm4455}
\crossref{https://doi.org/10.20948/mm-2023-04-02}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4566990}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 5
\pages 877--893
\crossref{https://doi.org/10.1134/S2070048223050095}
Linking options:
https://www.mathnet.ru/eng/mm4455
https://www.mathnet.ru/eng/mm/v35/i4/p24
This publication is cited in the following 10 articles:
O. P. Stoyanovskaya, G. D. Turova, N. M. Yudina, “Dispersion and Group Analysis of Dusty Burgers Equations”, Lobachevskii J Math, 45:1 (2024), 108
E. E. Peskova, “Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles”, Dokl. Math., 109:3 (2024), 256
E. E. Peskova, V. N. Snytnikov, “The Influence of Laser Radiation on the Laminar Flow of a Chemically Active Gas–Dust Medium in a Narrow Circular Tube”, Theor Found Chem Eng, 2024
E. E. Peskova, O. S. Yazovtseva, “Application of the Explicitly Iterative Scheme to Simulating Subsonic Reacting Gas Flows”, Comput. Math. and Math. Phys., 64:2 (2024), 326
E. E. Peskova, “Mathematical modeling of nonstationary problems of methane's laser thermochemistry in the presence of catalytic nanoparticles”, Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, 517:1 (2024), 79
E. E. Peskova, O. S. Yazovtseva, “Issledovanie primeneniya yavno-iteratsionnoi skhemy k modelirovaniyu dozvukovykh reagiruyuschikh gazovykh potokov”, Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, 64:2 (2024), 350
E. E. Peskova, V. N. Snytnikov, “Mathematical Modelling of the Impact of IR Laser Radiation on an Oncoming Flow of Nanoparticles with Methane”, CMIT, 8:3 (2024), 34
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
Elizaveta Peskova, Communications in Computer and Information Science, 1868, Parallel Computational Technologies, 2023, 323
Citation in format AMSBIB
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