Pressure Fluctuations Due to ‘Trapped Waves’ in the Initial Region of High-Speed Jets

An experimental study was conducted on unsteady pressure fluctuations occurring near the nozzle exit and just outside the shear layer of high-speed jets. These fluctuations are related to ‘trapped waves’ within the jet potential core as investigated and reported recently by other researchers. Round nozzles of three different diameters and rectangular nozzles of three different aspect ratios are studied. The pressure fluctuations manifest as a series of peaks in the spectra. Usually the first peak at the lowest frequency has the highest amplitude while the amplitude decreases progressively for successive peaks at higher frequencies. These ‘trapped wave spectral peaks’are found with all nozzles. Their characteristics and variations with axial and radial distances,jet Mach number as well as aspect ratio of the nozzle are discussed.For round nozzles, the frequency of an individual peak is found to scale with the nozzle diameter; thus, on a Strouhal number versus jet Mach number plot each spectral peak is represented by a unique curve independent of the nozzle diameter. Empirical equations are provided for these curves for the dominant peaks. For rectangular nozzles, the number of peaks observed near the long edge is found to be larger than that observed near the short edge by a factor equal to the nozzle’s aspect ratio. The trapped wave spectral peaks continue to persist in the supersonic regime. Intriguingly, the onset of screech tones appears to be a continuation of the evolution of these peaks; it is as if one of these peaks abruptly increases in amplitude and turns into the screech tone as the jet Mach number is increased.