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Directivity of normalized 

Directivity of normalized 

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The primary objective of this investigation is to determine experimentally the sources of jet mixing noise. In the present study, four different approaches are used. It is reasonable to assume that the characteristics of the noise sources are imprinted on their radiation fields. Under this assumption, it becomes possible to analyse the characterist...

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... Panda et al. (2005); but there are some errors in their figures 12( a ) and 12( b ). The correct data are presented here in figures 25 and 26. In measuring these data, the laser probe was kept fixed at the centreline of the jet at x/D = 12 for the Mach 1.8 jet and x/D = 10 for the Mach 1.4 and Mach 0.95 jets. The far-field microphone was moved at 10 ◦ intervals on a circular arc. Figure 25 shows the directivity of the normalized ρuu correlation, that is ρuu, p max / [( ρuu ) rms ( p ) rms ]. Figure 26 shows the directivity of ρ , p max / ( ρ rms p rms ). Here, a prime represents the deviation from the mean. These directivity data are important. First, they reveal that there are significant correlations between jet turbulence fluctuations at a point inside the jet and the sound field radiated in the downstream direction. This is true regardless of which turbulence related fluctuation is used. Since the Rayleigh scattering measurements are concentrated in a very localized volume in the jet, a 20 % correlation is a huge number. Another significance of the data is that the normalized correlation drops off rapidly as the inlet-angle direction decreases. For angles less than 120 ◦ , the correlation practically diminishes to the noise level. The directivity pattern as given by figures 25 and 26 does not change when the laser probe is moved radially over the half-width of the jet and axially over a few jet diameters. This indicates that the direct correlation function and noise sources are highly directional. It is clear from figures 25 and 26 that the noise source measured by the laser probe exhibits strong directional characteristic. It radiates noise primarily in the downstream direction. There is practically no noise radiation to the sideline and upstream directions. Panda and his coworkers were fully aware of this unusual characteristic. They offered an explanation for the observed directional variation based on the two-noise source model. For the purpose of completeness, we will amplify their reasoning below, using the fine-scale turbulence and large turbulence structure noise source model of figure 4. The two-noise source model of figure 4 suggests that the dominant source of noise radiating to the sideline and upstream directions is the fine-scale turbulence of the jet flow. In measuring the turbulence fluctuations in a jet by the ...

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... Finally, to justify the importance of the linear vortex-wave coupling induced by the shear flow non-normality, we present an additional weighty argument. The specificity of the linear generation mechanism of acoustic waves, substantiates the observations of two different sound generating mechanisms, namely omni-directional and highly directional sound emission from small-and large-scale turbulence structures, respectively [60]. These are related to nonlinear and linear mechanisms. ...
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