On the Spectral Theory of Turbulent Combustion

概要

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As an approach to the study on turbulent combustion, the authors introduce a new model in which the most effective combustion may be realized by a turbulence with an energy spectrum conforming to the "characteristic spectrum for combustion" inherent to the mixture. The latter spectrum is determined only by the physico-chemical properties of combustible mixture, such as the laminar burning velocity and the thickness of reaction zone. Furthermore, assuming that the general effect of turbulence on the burning velocity is given in the form of a definite integral of the product of both spectra, and that the quenching effect sets the upper limit of the integration, the turbulent burning velocities of several combustible mixtures are estimated. The results of calculations give a qualitatively proper explanation to the influences of the concentration, scale of turbulence and the energy spectrum on propane-air mixture, and are in a fairly good quantitative agreement with the experimental results by Sokolik et al.
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