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On the interaction of flames and sound

Part 2 Survey Papers With Research Aspects

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Part of the Lecture Notes in Mathematics book series (LNM,volume 985)

Abstract

After a brief review of the literature, a simplified model for flame propagation based on high activation energy asymptotics is used to explain the effects of an incident, external soundwave on a uniformly propagating flame. It is shown, that due to the interaction with the chemical reaction kinetics at the flamefront, the incident wave is partially reflected. A system of equations for the transmission coefficient, T, the reflection coefficient, R, and the induced oscillation amplitude of the flame, F, is derived and its solution as a function of the frequency ω is graphically analyzed. It appears, that both acoustic attenuation and acoustic amplification are possible. Especially, if the Lewis number is close to the critical value, where the uniformly propagating flame loses its stability to a pulsating flame, ànd, if the frequency is close to the corresponding frequency of self-oscillation of the flame, resonance leads to strong acoustic amplifications.

Keywords

  • Acoustic Wave
  • Hopf Bifurcation
  • Sound Wave
  • Flame Front
  • Flame Propagation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1983 Springer-Verlag

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van Harten, A. (1983). On the interaction of flames and sound. In: Verhulst, F. (eds) Asymptotic Analysis II —. Lecture Notes in Mathematics, vol 985. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062374

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  • DOI: https://doi.org/10.1007/BFb0062374

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12286-9

  • Online ISBN: 978-3-540-39612-3

  • eBook Packages: Springer Book Archive