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Russia Moscow; Novosibirsk; Saransk
Section  Mechanics 
Title  Modeling the flow of a multicomponent reactive gas using high accuracy algorithms 
Author(s)  Zhalnin R.V.^{a}, Peskova E.E.^{a}, Stadnichenko O.A.^{b}, Tishkin V.F.^{c} 
Affiliations  Ogarev Mordovia State University^{a}, Boreskov Institute of Catalysis, Siberian Branch of the Russian Academy of Sciences^{b}, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences^{c} 
Abstract  The article considers a highorder 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 NavierStokes 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 $648^{\circ}$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  NavierStokes equations, WENO scheme, pyrolysis of ethane 
UDC  519.63 
MSC  35Q30, 76N15 
DOI  10.20537/vm170410 
Received  18 October 2017 
Language  Russian 
Citation  Zhalnin R.V., Peskova E.E., Stadnichenko O.A., Tishkin V.F. Modeling the flow of a multicomponent reactive gas using high accuracy algorithms, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2017, vol. 27, issue 4, pp. 608617. 
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