“…[17][18][19] The spectral shape of direct combustion noise from open flames has frequently been studied, e.g., experimentally in Kotake and Takamoto 20 and Rajaram and Lieuwen 21 at varying fuels, flow parameters, and burner geometries, numerically in Schlimpert et al, 22 and empirically in Tam et al 23 Tam et al 23 analyzed experimental data from the literature and derived an empirical law for the heat release spectrum. Schlimpert et al 22 studied the heat release spectra and the acoustic response to heat release fluctuations in a low, medium, and high frequency range. In agreement with Rajaram et al, 21 their results suggest that the acoustic response to heat release fluctuations follows a constant trend of approximately aSt 2 for lower frequencies, i.e., St 20, and bSt 0 in the high frequency region, i.e., St > 20, where St ¼ xL f =v is the flame Strouhal number which is a function of the angular frequency x, the mean streamwise velocity v, and the mean flame height L f .…”