Abstract
This note presents the elaboration of a predictive tool for the acoustic generation of a flame. First, volumetric expansion occurring in turbulent combustion is identified as the main acoustic source term. Following an approach similar to Lighthill's aeroacoustic analogy, a pressure wave equation is derived. By way of a reduced energy relation we express source terms as a function of the temperature fluctuations. Determination of the sound pressure autocorrelation leads to the sound power spectrum. This consists of a double volumetric integration of the production terms weighted by a spatio-frequential coherence function. By means of two characteristic times, this coherence function takes into account combustion and turbulence effects on the acoustic generation. The aerothermoacoustic model is then applied to the turbulent flame produced by an experimental burner and results are compared with experimental spectra.
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