Including acoustic modes in the vortex-sheet eigenbasis of a jet.

Vortex-sheet (V-S) models of jets are widely used to describe the dynamics of modes, such as the Kelvin-Helmholtz instability and guided acoustic waves. However, the absence of the free-stream acoustic modes in the V-S eigenspectrum is seldom pointed out in the literature. This family of modes is important if, for example, one is interested into the problems of sound emission or flow-acoustic interactions. In this work, it is shown how a distantly confined jet may be used as a surrogate problem for the free jet, in which the free-stream acoustic waves appear as a set of discrete modes. Comparing the modes observed in the free jet with those of the distantly confined jet, we show that other than the free-stream acoustic modes, the eigenvectors and eigenvalues converge exponentially with the wall distance. The proposed surrogate problem, thus, efficiently reproduces the dynamics of the original problem while accounting for the dynamics of the free-stream acoustic eigenmodes.

Scattering of turbulent-jet wavepackets by a swept trailing edge.

Installed jet noise is studied by means of a simplified configuration comprising a flat plate in the vicinity of a round jet. The effects of Mach number, jet-plate radial distance, and trailing-edge sweep angle are explored. Acoustic measurements are performed using a traversable 18-microphone azimuthal array, providing pressure data at 360 points on a cylindrical surface surrounding the jet-plate system. Key observations include a decrease, with increasing Mach number, of the relative level of the scattered field in comparison to the uninstalled jet; an exponential dependence of the scattered sound pressure level on the radial jet-plate separation; and considerable sideline noise reductions with increasing sweep angle, with which there is an overall reduction in acoustic efficiency. The measurements are compared with results obtained using a kinematic wavepacket source model, whose radiation is computed in two ways. A TGF for a semi-infinite flat plate is used to provide a low-order approximation of the scattering effect. Use of a more computationally intensive boundary element method provides additional precision. Good agreement between model predictions and experiment, encouraging from the perspective of low-cost prediction strategies, demonstrates that the models comprise the essential sound generation mechanisms.