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Jet resonance in truncated ideally contoured nozzles

Published online by Cambridge University Press:  27 May 2021

Florian Bakulu ,
Guillaume Lehnasch Open the ORCID record for Guillaume Lehnasch [Opens in a new window] ,
Vincent Jaunet Open the ORCID record for Vincent Jaunet [Opens in a new window] ,
Eric Goncalves da Silva  and
Steve Girard
Florian Bakulu
Affiliation:
ISAE-ENSMA, Institut Pprime, Université de Poitiers, UPR-3346 CNRS 1 Avenue Clement Ader, 86360Chasseneuil-du-Poitou, France
Guillaume Lehnasch*
Affiliation:
ISAE-ENSMA, Institut Pprime, Université de Poitiers, UPR-3346 CNRS 1 Avenue Clement Ader, 86360Chasseneuil-du-Poitou, France
Vincent Jaunet
Affiliation:
ISAE-ENSMA, Institut Pprime, Université de Poitiers, UPR-3346 CNRS 1 Avenue Clement Ader, 86360Chasseneuil-du-Poitou, France
Eric Goncalves da Silva
Affiliation:
ISAE-ENSMA, Institut Pprime, Université de Poitiers, UPR-3346 CNRS 1 Avenue Clement Ader, 86360Chasseneuil-du-Poitou, France
Steve Girard
Affiliation:
ISAE-ENSMA, Institut Pprime, Université de Poitiers, UPR-3346 CNRS 1 Avenue Clement Ader, 86360Chasseneuil-du-Poitou, France
*
†Email address for correspondence: guillaume.lehnasch@isae-ensma.fr
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Abstract

Unsteady side loads observed in supersonic nozzles operating in over-expanded regimes are most often associated with intrinsic unsteadiness of the shock system and separation line, featuring random motions with mainly broadband low-frequency contributions. A tonal flow behaviour, rather associated with energy peaks of fluctuating wall pressure in the middle frequency range, is also found to emerge for particular operating conditions in a truncated ideally contoured nozzle. The corresponding flow field is here investigated to understand its origin and show how it modifies side-load properties. The temporal and spatial organization of wall pressure and jet velocity field are first experimentally characterized based on synchronized acquisition of both wall pressure along rings of pressure probes located within the nozzle, and high-rate time-resolved particle image velocimetry velocity fields measured in a plane section crossing the jet downstream of the nozzle exit. The external jet aerodynamics and internal wall pressure field are first shown to be clearly linked, but only at this frequency peak for which a significant coherence emerges between first azimuthal mode of fluctuating wall pressure and first azimuthal mode of fluctuating external velocity field. A delayed detached eddy simulation is carried out and validated against experimental results in order to reproduce this tonal flow dynamics. The analysis of simulation data shows that the tonal flow behaviour of first azimuthal mode is indeed more globally felt within the whole flow structure where both upstream and downstream propagating waves are shown to coexist, even far downstream of the nozzle exit. The analysis shows that both waves possess support in the jet core and have a non-negligible pressure signature in the separated region. The spectral proper orthogonal decomposition of fluctuating pressure field at this tonal frequency reveals that the nature and intensity of lateral pressure forces is directed by the resonance related to the upstream- and downstream-propagating coherent structures, which imposes the shock waves network to respond and modulate the pressure levels on the nozzle internal surface.

JFM classification

Wakes/Jets: Separated flows Compressible Flows: Supersonic flow Compressible Flows: Shock waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 919 , 25 July 2021 , A32
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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