Geodesic
Mathematical modeling of gas oscillations in a methane pyrolysis reactor
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 773-789

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{VSGTU_2024_28_4_a8,
     author = {I. V. Kudinov and K. V. Trubitsyn and A. V. Eremin and V. D. Dolgikh},
     title = {Mathematical modeling of gas oscillations in a methane pyrolysis reactor},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {773--789},
     publisher = {mathdoc},
     volume = {28},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a8/}
}
TY  - JOUR
AU  - I. V. Kudinov
AU  - K. V. Trubitsyn
AU  - A. V. Eremin
AU  - V. D. Dolgikh
TI  - Mathematical modeling of gas oscillations in a methane pyrolysis reactor
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2024
SP  - 773
EP  - 789
VL  - 28
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a8/
LA  - ru
ID  - VSGTU_2024_28_4_a8
ER  - 
%0 Journal Article
%A I. V. Kudinov
%A K. V. Trubitsyn
%A A. V. Eremin
%A V. D. Dolgikh
%T Mathematical modeling of gas oscillations in a methane pyrolysis reactor
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2024
%P 773-789
%V 28
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a8/
%G ru
%F VSGTU_2024_28_4_a8
I. V. Kudinov; K. V. Trubitsyn; A. V. Eremin; V. D. Dolgikh. Mathematical modeling of gas oscillations in a methane pyrolysis reactor. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 28 (2024) no. 4, pp. 773-789. http://geodesic.mathdoc.fr/item/VSGTU_2024_28_4_a8/