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Analytical Interaction of the Acoustic Wave and Turbulent Flame |
TENG Hong-Hui;JIANG Zong-Lin |
LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080 |
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Cite this article: |
TENG Hong-Hui, JIANG Zong-Lin 2007 Chin. Phys. Lett. 24 567-569 |
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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.
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Keywords:
82.33.Vx
47.20.-k
47.27.-i
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Received: 01 September 2006
Published: 24 February 2007
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PACS: |
82.33.Vx
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(Reactions in flames, combustion, and explosions)
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47.20.-k
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(Flow instabilities)
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47.27.-i
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(Turbulent flows)
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