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Published February 2016 | public
Journal Article

Parabolized stability analysis of jets from serrated nozzles

Abstract

We study the viscous spatial linear stability characteristics of the time-averaged flow in turbulent subsonic jets issuing from serrated (chevroned) nozzles, and compare them to analogous round jet results. Linear parabolized stability equations (PSE) are used in the calculations to account for the non-parallel base flow. By exploiting the symmetries of the mean flow due to the regular arrangement of serrations, we obtain a series of coupled two-dimensional PSE problems from the original three-dimensional problem. This reduces the solution cost and manifests the symmetries of the stability modes. In the parallel-flow linear stability theory (LST) calculations that are performed near the nozzle to initiate the PSE, we find that the serrated nozzle reduces the growth rates of the most unstable eigenmodes of the jet, but their phase speeds are approximately similar. We obtain encouraging validation of our linear PSE instability wave results vis-à-vis near-field hydrodynamic pressure data acquired on a phased microphone array in experiments, after filtering the latter with proper orthogonal decomposition (POD) to extract the energetically dominant coherent part. Additionally, a large-eddy simulation database of the same serrated jet is investigated, and its POD-filtered pressure field is found to compare favourably with the corresponding PSE solution within the jet plume. We conclude that the coherent hydrodynamic pressure fluctuations of jets from both round and serrated nozzles are reasonably consistent with the linear instability modes of the turbulent mean flow.

Additional Information

© 2016 Cambridge University Press. (Received 26 August 2014; revised 23 September 2015; accepted 4 December 2015) We thank Dr J. Bridges and C. Brown of NASA Glenn Research Center for providing the experimental database. We are also grateful to Drs A. Samanta and D. Rodríguez for contributing to the development of the PSE code for the round jet. Discussions with Dr A. Uzun were useful in the course of this work. A.S. and T.C. acknowledge support from the Office of Naval Research under contract N0014-11-1-0753 with Dr B. Henderson as technical monitor. A.S. is also grateful for support from the Industrial Research and Consultancy Center of Indian Institute of Technology Bombay, via the seed grant program. H.X. acknowledges the HPC time and file storage on the Hydra system of Loughborough University.

Additional details

Created:
August 20, 2023
Modified:
October 17, 2023