A theoretical model is presented of the effects of forward velocity of an aircraft at arbitrary subsonic speed on sound radiated from convecting monopole and dipole sources embedded in the jet flow. The model leads to the prediction that a low frequency model point-monopole or point-dipole source convected at Mach number M c by a jet flow of Mach number M j issuing from an aircraft with flight Mach number M f radiates a field for which p 2 monopole= p 2 static[1−( c o c f )(M c−M f) cosθ] −4[1−( c o c f )(M j−M f) cosθ] −2, p 2 dipole= p 2 static[1−( c o c f )(M c−M f) cosθ] −4[1−( c o c f )(M j−M f) cosθ] −4 The analysis shows that with increasing forward velocity, there is a steadily increasing amplification over the static case of the sound which is radiated into the forward arc and a large reduction of the sound which is radiated into the rearward arc. The same trend is also shown to result when there is a reduction in the exhaust velocity with, however, a further rise in amplification in the forward quadrant and a drop in attenuation in the aft quadrant. Moreover, it is found that there is a dynamic transmission effect which tends to enhance the sound radiation at all angles by a density ratio pf/pj which increases with increasing jet temperature; however, the forward velocity effects, inasmuch as the amplification or reduction over the static case is concerned, in the fore and aft quadrants for the hot and cold jets are exactly the same. Finally, the theory shows that the forward velocity effects at θ = 90° to the jet axis are virtually absent.
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