C231 固有不安定性に起因するセル状火炎のカオス的挙動に及ぼす熱損失効果(燃焼の高度化・多様化への試み1)

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Heat-loss effects on the chaotic behavior of cellular premixed flames generated by intrinsic instability were studied by two-dimensional unsteady calculations of reactive flows based on the compressible Navier-Stokes equation. The disturbance with the linearly most unstable wave number, i.e. the critical wave number, was superimposed on a planar flame. As the superimposed disturbance evolved, the cellular-flame front formed owing to intrinsic instability. The unstable behavior of cellular flames appeared at low Lewis numbers and became stronger as the heat-loss parameter increased. The burning velocity fluctuated with time owing to the unstable behavior of cellular-flame fronts. To study the characteristics of the unstable behavior, the power spectrum density of the fluctuation of the burning velocity was obtained. The power spectrum density had a sharp peak, whose frequency corresponded to the typical oscillation frequency of the unstable behavior, and the l/f spectrum was found in low frequency range. Moreover, we performed the time series analysis on the burning-velocity fluctuation. We obtained the attractor, correlation dimension, Lyapunov exponent to study the characteristics of the chaotic behavior of cellular premixed flames. The characteristics depended strongly on the Lewis number and heat-loss parameter, i.e. on intrinsic instability. The results suggest that the present analysis is applicable to the diagnostics of the flame instability.
2006-11-23

C231 固有不安定性に起因するセル状火炎のカオス的挙動に及ぼす熱損失効果(燃焼の高度化・多様化への試み1)

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