Abstract:
The article considers a high-order accuracy algorithm for modelling the dynamics of multicomponent reactive gas taking into account the processes of diffusion, thermal conductivity and chemical reactions, based on WENO schemes. Computations for gas flow in a flowing reactor for thermal ethane pyrolysis with external heating of the reaction zone are carried out. The velocity of gas motion in explored flows is much less then sound velocity in gas mixture, which motivates using the Navier–Stokes equations in approximation of low Mach numbers for describing the processes under study. Computation of chemical kinetics equations is singled out as a separate step. The velocity of chemical reactions is defined by Arrhenius expressions. The ethane pyrolysis kinetic scheme is used for constructing the model, which is a branched radical mechanism. Computations of subsonic gas flow taking into account the processes of diffusion, chemical reactions and their thermal effects for different temperature of heating elements are carried out. Comparison with experimental data shows that 1.97% conversion of ethane is reached at 648∘C at the outflow of metal reactor. This result is close to 2.1%, which is obtained by experiment. Comparison of experimental data of thermal ethane pyrolysis with numerical experimental data shows a high level of reliability of the results obtained.
Keywords:
Navier–Stokes equations, weno scheme, pyrolysis of ethane.
Citation:
R. V. Zhalnin, E. E. Peskova, O. A. Stadnichenko, V. F. Tishkin, “Modeling the flow of a multicomponent reactive gas using high accuracy algorithms”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 27:4 (2017), 608–617
\Bibitem{ZhaPesSta17}
\by R.~V.~Zhalnin, E.~E.~Peskova, O.~A.~Stadnichenko, V.~F.~Tishkin
\paper Modeling the flow of a multicomponent reactive gas using high accuracy algorithms
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2017
\vol 27
\issue 4
\pages 608--617
\mathnet{http://mi.mathnet.ru/vuu612}
\crossref{https://doi.org/10.20537/vm170410}
\elib{https://elibrary.ru/item.asp?id=32248462}
Linking options:
https://www.mathnet.ru/eng/vuu612
https://www.mathnet.ru/eng/vuu/v27/i4/p608
This publication is cited in the following 8 articles:
E. E. Peskova, V. N. Snytnikov, “Numerical Study of the Conversion of Methane Mixtures under the Influence of Laser Radiation”, Theor Found Chem Eng, 2024
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, “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, “Chislennoe issledovanie konversii metanovykh smesei pod vozdeistviem lazernogo izlucheniya”, Zhurnal SVMO, 25:3 (2023), 159–173
E. E. Peskova, V. N. Snytnikov, R. V. Zhalnin, “Vychislitelnyi algoritm dlya izucheniya vnutrennikh laminarnykh potokov mnogokomponentnogo gaza s raznomasshtabnymi khimicheskimi protsessami”, Kompyuternye issledovaniya i modelirovanie, 15:5 (2023), 1169–1187
V. N. Snytnikov, E. E. Peskova, O. P. Stoyanovskaya, “Mathematical model of a two-temperature medium of gassolid nanoparticles with laser methane pyrolysis”, Math. Models Comput. Simul., 15:5 (2023), 877–893
I. M. Gubaydullin, R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Numerical simulation of propane pyrolysis in a flow chemical reactor under the influence of constant external heating”, Math. Models Comput. Simul., 13:3 (2021), 437–444
R. V. Zhalnin, V. F. Masyagin, E. E. Peskova, V. F. Tishkin, “Modeling the flow of multicomponent reactive gas on unstructured grids”, Eng. Technol. Syst., 30:1 (2020), 162–175
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