The Fundamental Investigation on the Mechanism of the Liquid Fuel Spray Diffusion Flame : 1st Report, General Theory of Oscillatory Combustion

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In this paper, the mechanism of the oscillatory combustion is studied by applying the equation of continuity, the equation of motion and the equation of energy to the unsteady flow in combustor. Main results obtained are as follows. (1) The driving force of oscillation is the fluctuation of heat adding rate, so the magnitude of both pressure and velocity fluctuations is proportional to the fluctuation of heat adding rate. (2) The frequency of oscillation has a similar dependency on the combustor length with an acoustic resonance frequency. But, since the phase shift of the velocity fluctuation at x=x_2 occurs through the interaction between the combustion field and the acoustic field, the frequency is always shifted, more or less, from such resonance frequency and the amount of such frequency shift depends on the flame type and the burning condition. (3) The amplifying conditions of oscillation are made clear and are classified by the distribution diagram of the pressure amplitude.
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