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A complex-valued resonance model for axisymmetric screech tones in supersonic jets

Published online by Cambridge University Press:  13 October 2021

Matteo Mancinelli Open the ORCID record for Matteo Mancinelli [Opens in a new window] ,
Vincent Jaunet Open the ORCID record for Vincent Jaunet [Opens in a new window] ,
Peter Jordan Open the ORCID record for Peter Jordan [Opens in a new window]  and
Aaron Towne Open the ORCID record for Aaron Towne [Opens in a new window]
Matteo Mancinelli*
Affiliation:
Département Fluides Thermique et Combustion, Institut Pprime - CNRS-Université de Poitiers-ENSMA, 11 Boulevard Marie et Pierre Curie, 86962Chasseneuil-du-Poitou, Poitiers, France
Vincent Jaunet
Affiliation:
Département Fluides Thermique et Combustion, Institut Pprime - CNRS-Université de Poitiers-ENSMA, 11 Boulevard Marie et Pierre Curie, 86962Chasseneuil-du-Poitou, Poitiers, France
Peter Jordan
Affiliation:
Département Fluides Thermique et Combustion, Institut Pprime - CNRS-Université de Poitiers-ENSMA, 11 Boulevard Marie et Pierre Curie, 86962Chasseneuil-du-Poitou, Poitiers, France
Aaron Towne
Affiliation:
Department of Mechanical Engineering, University of Michigan, 2350 Hayward Street, Ann Arbor, MI48109, USA
*
†Email address for correspondence: [email protected]
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Abstract

We model the resonance mechanism underpinning generation of A1 and A2 screech tones in an under-expanded supersonic jet. Starting from the resonance model recently proposed by Mancinelli et al. (Exp. Fluids, vol. 60, 2019, p. 22), where the upstream-travelling wave is a neutrally stable guided-jet mode, we here present a more complete linear-stability-based model for screech prediction. We study temperature and shear-layer thickness effects and show that, in order to accurately describe the experimental data, the effect of the finite thickness of the shear layer must be incorporated in the jet-dynamics model. We then present an improved resonance model for screech-frequency predictions in which both downstream- and upstream-travelling waves may have a complex wavenumber and frequency. This resonance model requires knowledge of the reflection coefficients at the upstream and downstream locations of the resonance loop. We explore the effect of the reflection coefficients on the resonance model and propose an approach for their identification. The complex-mode model identifies limited regions of frequency–flow parameter space for which the resonance loop is amplified in time, a necessary condition for the resonance to be sustained. This model provides an improved description of the experimental measurements.

JFM classification

Acoustics: Aeroacoustics Acoustics: Jet noise Compressible Flows: Supersonic flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 928 , 10 December 2021 , A32
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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