Influence of boundary conditions on the critical parameters of reactive flow ignition in a channelwith heat recuperation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 478-487

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A one-dimensional problem of reacting flow thermal stability in a U-shaped channel is studied. A finite difference scheme is proposed for this problem. Borders of domain of existence of a bounded solution are estimated. Calculations are carried out for two variants of the inlet boundary condition. Relationship between critical parameter and other parameters is obtained.
Keywords: differential equation, numerical solution, recuperative heat transfer.
Mots-clés : thermal explosion
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     author = {Igor G. Donskoy},
     title = {Influence of boundary conditions on the critical parameters of reactive flow ignition in a channelwith heat recuperation},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {478--487},
     publisher = {mathdoc},
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     number = {4},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a5/}
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Igor G. Donskoy. Influence of boundary conditions on the critical parameters of reactive flow ignition in a channelwith heat recuperation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 4, pp. 478-487. http://geodesic.mathdoc.fr/item/JSFU_2024_17_4_a5/