摘要A modified resonance model of a weakly turbulent flame in a high-frequency acoustic wave is derived analytically. Under the mechanism of Darrieus--Landau instability, the amplitude of flame wrinkles, which is as functions of the expansion coefficient and the perturbation wave number, increases greatly independent of the `stationary' turbulence. The high perturbation wave number makes the resonance easier to be triggered but weakened with respect to the extra acoustic wave. In a closed burning chamber with the acoustic wave induced by the flame itself, the high perturbation wave number is to restrain the resonance for a realistic flame.
Abstract：A modified resonance model of a weakly turbulent flame in a high-frequency acoustic wave is derived analytically. Under the mechanism of Darrieus--Landau instability, the amplitude of flame wrinkles, which is as functions of the expansion coefficient and the perturbation wave number, increases greatly independent of the `stationary' turbulence. The high perturbation wave number makes the resonance easier to be triggered but weakened with respect to the extra acoustic wave. In a closed burning chamber with the acoustic wave induced by the flame itself, the high perturbation wave number is to restrain the resonance for a realistic flame.
TENG Hong-Hui;JIANG Zong-Lin. Analytical Interaction of the Acoustic Wave and Turbulent Flame[J]. 中国物理快报, 2007, 24(2): 567-569.
TENG Hong-Hui, JIANG Zong-Lin. Analytical Interaction of the Acoustic Wave and Turbulent Flame. Chin. Phys. Lett., 2007, 24(2): 567-569.
[1] Landau L D and Lifshitz E M 1987 Fluid Mechanics(Oxford: Pergamon) [2] Clanet C and Searby G 1988 Phys. Rev. Lett. 803867 [3] Bychkov V 1999 Phys. Fluids 11, 3168 [4] Bychkov V 2002 Phys. Rev. Lett. 89 168302 [5] Williams F A 2000 Prog. Energ. Combust. 26 657 [6] Searby G and Clavin P 1986 Combust. Sci. Technol. 46 167 [7] Denet B 1997 Phys. Rev. E 55 6911 [8] Searby G and Rochwerger D 1991 J. Fluid Mech. 239 529 [9] Akkerman V B and Bychkov V 2005 Combust. Expl. ShockWaves 41 363 [10] Fang L, Cui G X, Xu C X and Zhang Z S 2005 Chin. Phys.Lett. 22 11 [11] Balachandran R, Ayoola B O, Kaminski CF, Dowling A P and Mastorakos E 2005 Combust. Flame 14337
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