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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2024, Volume 28, Number 4, Pages 773–789
DOI: https://doi.org/10.14498/vsgtu2115
(Mi vsgtu2115)
 

Mathematical Modeling, Numerical Methods and Software Complexes

Mathematical modeling of gas oscillations in a methane pyrolysis reactor

I. V. Kudinov, K. V. Trubitsyn, A. V. Eremin, V. D. Dolgikh

Samara State Technical University, Samara, 443100, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: A mathematical model of gas oscillations induced by external harmonic loading has been developed, taking into account spatiotemporal nonlocality. The model is based on the equilibrium (motion) equation and a modified Hooke's law, which incorporates relaxation terms accounting for the mean free path and time of microparticles (electrons, atoms, molecules, ions, etc.).
Numerical studies of the model have shown that resonance occurs when the natural frequency of gas oscillations coincides with the frequency of the external load. This resonance is characterized by a sharp increase in the amplitude of oscillations, which is limited by the gas friction coefficient. When the frequency of the external load is close to the natural frequency of gas oscillations, bifurcation-flutter oscillations (beats) are observed, accompanied by periodic increases and decreases in the oscillation amplitude at each point of the spatial variable. In this case, the gas oscillations exhibit an infinite number of amplitudes and frequencies.
Periodic variations in gas displacement and pressure, ranging from zero to a certain maximum value and propagating along the length of the methane pyrolysis reactor, contribute to the cleaning of its internal surfaces from loose carbon deposits. The carbon removed from the reactor walls accumulates in the lower part between two gas-tight shut-off valves, allowing for its removal without interrupting the pyrolysis process.
This model can be useful for optimizing reactor cleaning processes and improving the efficiency of methane pyrolysis.
Keywords: methane pyrolysis reactor, hydrogen and carbon production, mathematical model of gas oscillations, accounting for spatiotemporal nonlocality, harmonic external load, numerical solution, resonant and bifurcation-flutter oscillations, method of carbon removal
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FSSE-2024-0014
This study was supported by the Ministry of Science and Higher Education of the Russian Federation under the state assignment of Samara State Technical University (Project No. FSSE-2024-0014).
Received: September 11, 2024
Revised: October 28, 2024
Accepted: November 19, 2024
First online: December 27, 2024
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.332(534-14)
MSC: 76V05, 80A32
Language: Russian
Citation: I. V. Kudinov, K. V. Trubitsyn, A. V. Eremin, V. D. Dolgikh, “Mathematical modeling of gas oscillations in a methane pyrolysis reactor”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 28:4 (2024), 773–789
Citation in format AMSBIB
\Bibitem{KudTruEre24}
\by I.~V.~Kudinov, K.~V.~Trubitsyn, A.~V.~Eremin, V.~D.~Dolgikh
\paper Mathematical modeling of gas oscillations in a methane pyrolysis reactor
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2024
\vol 28
\issue 4
\pages 773--789
\mathnet{http://mi.mathnet.ru/vsgtu2115}
\crossref{https://doi.org/10.14498/vsgtu2115}
\edn{https://elibrary.ru/SRKXEK}
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    Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :30
    References:16
     
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