Abstract:
Stability of detonation waves (DWs) propagating in a plane or rectangular channel with respect to two-dimensional and three-dimensional disturbances is considered. Accepting a simple hypothesis that the most unstable mode of the linear theory continues to dominate even in the nonlinear regime, one can derive a number of fairly definite predictions of the developed DW structure from the linear stability theory. In particular, the theory predicts the number of detonation cells formed in a channel of a specified size and the cell size, the minimum size of the channel in which the multifront DW structure can still exist, and the parameters at which the number of cells changes in a jump-like manner. All these predictions are qualitatively consistent with available experimental data and numerical results.
Keywords:
linear stability theory, multifront detonation, detonation cells.
Citation:
A. N. Kudryavtsev, S. P. Borisov, “Stability of detonation waves propagating in plane and rectangular channels”, Fizika Goreniya i Vzryva, 56:1 (2020), 105–113; Combustion, Explosion and Shock Waves, 56:1 (2020), 92–99
\Bibitem{KudBor20}
\by A.~N.~Kudryavtsev, S.~P.~Borisov
\paper Stability of detonation waves propagating in plane and rectangular channels
\jour Fizika Goreniya i Vzryva
\yr 2020
\vol 56
\issue 1
\pages 105--113
\mathnet{http://mi.mathnet.ru/fgv654}
\crossref{https://doi.org/10.15372/FGV20200111}
\elib{https://elibrary.ru/item.asp?id=41827452}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2020
\vol 56
\issue 1
\pages 92--99
\crossref{https://doi.org/10.1134/S0010508220010116}
Linking options:
https://www.mathnet.ru/eng/fgv654
https://www.mathnet.ru/eng/fgv/v56/i1/p105
This publication is cited in the following 6 articles:
L. Chen, Z. Li, R. Chen, F. Lu, “Propagation characteristics of blast shock waves in low-pressure environment”, Shock Waves, 33:1 (2023), 61
Naor Zadok, Surya Kaundinya Oruganti, Marcel M. Alves, Yoram Kozak, “Dimensional analysis and simplified modeling for the cellular structure of premixed gas-phase detonation numerical simulations with single-step kinetics”, Combustion and Flame, 256 (2023), 112954
S. P. Borisov, A. N. Kudryavtsev, A. A. Shershnev, “Comparison of detailed chemical models of hydrogen combustion in numerical simulations of detonation”, Combustion, Explosion and Shock Waves, 57:3 (2021), 270–284
Tatyana Khmel, Sergey Lavruk, “Detonation flows in aluminium particle gas suspensions, inhomogeneous in concentrations”, Journal of Loss Prevention in the Process Industries, 72 (2021), 104522
T. A. Khmel, S. A. Lavruk, “Modeling of cellular detonation in gas suspensions of two fractions of aluminum nanoparticles”, Combustion, Explosion and Shock Waves, 56:2 (2020), 188–197
S. P. Borisov, A. N. Kudryavtsev, A. A. Shershnev, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2020): Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, dedicated to the 90th anniversary of the birth of RI Soloukhin, 2288, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2020): Proceedings of the XXVII Conference on High-Energy Processes in Condensed Matter, dedicated to the 90th anniversary of the birth of RI Soloukhin, 2020, 030004
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