Parabolized Stability Analysis of Jets Issuing from Serrated Nozzles
Jets issuing from serrated nozzles have a correspondingly serrated time-averaged flow field. We solve the mildly non-parallel linear parabolized stability problem for such high speed turbulent jets to model the coherent wavepackets in the flow. The base flow for the analysis is the mean flow field from a large-eddy simulation database of a cold Mach 0.9 fully turbulent jet issuing from a nozzle with six serrations, a benchmark case in the literature. The fluctuation data is also filtered to extract the most-energetic coherent part using proper orthogonal decomposition. Such filtered data is shown to bear an encouraging resemblance with the predicted wavepackets.
KeywordsProper Orthogonal Decomposition Strouhal Number Proper Orthogonal Decomposition Mode Linear Stability Theory Parabolized Stability Equation
The authors thank Drs. Kristjan Gudmundsson, Arnab Samanta and Daniel Rodríguez for contributing to the development of the PSE code for the round jet. AS acknowledges support from Industrial Research and Consultancy Center of Indian Institute of Technology Bombay, via the seed grant program.
- Bridges JE, Brown CA (2004) Parametric testing of chevrons on single flow hot jets. In: 10th AIAA/CEAS aeroacoustics conference, AIAA Paper 2824Google Scholar
- Cavalieri AVG, Rodríguez D, Jordan P, Colonius T, Gervais Y (2013a) Wavepackets in the velocity field of turbulent jets. J Fluid Mech 730:559–592Google Scholar
- Gudmundsson K, Colonius T (2007) Spatial stability analysis of chevron jet profiles. In: 13th AIAA/CEAS aeroacoustics conference, AIAA Paper 3599Google Scholar
- Herbert T (1994) Parabolized stability equations. In: Special course on progress in transition modelling, AGARD Report No. 793Google Scholar