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On the modulating effect of three-dimensional instabilities in open cavity flows

Published online by Cambridge University Press:  30 October 2014

J. Basley ,
L. R. Pastur ,
F. Lusseyran ,
J. Soria  and
N. Delprat
J. Basley*
Affiliation:
CNRS, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), F-91403 Orsay, France Univ. Paris-Sud, F-91405 Orsay, France Laboratory for Turbulence Research in Aerospace and Combustion (LTRAC), Department of Mechanical and Aerospace Engineering, Monash University, Victoria, 3800, Australia
L. R. Pastur
Affiliation:
CNRS, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), F-91403 Orsay, France Univ. Paris-Sud, F-91405 Orsay, France
F. Lusseyran
Affiliation:
CNRS, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), F-91403 Orsay, France
J. Soria
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion (LTRAC), Department of Mechanical and Aerospace Engineering, Monash University, Victoria, 3800, Australia Department of Aeronautical Engineering, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia
N. Delprat
Affiliation:
CNRS, Laboratoire d’Informatique pour la Mécanique et les Sciences de l’Ingénieur (LIMSI), F-91403 Orsay, France Sorbonne Universités, UPMC Univ. Paris 6, UFR d’Ingénierie, F-75005 Paris, France
*
†Email address for correspondence: [email protected]
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Abstract

Open cavity flows are known to select and enhance locked-on modes or tones. High-energy self-sustained oscillations arise within the shear layer, impinging onto the trailing edge of the cavity. These self-sustained oscillations are subject to amplitude modulations (AMs) at multiple low frequencies. However, only a few studies have addressed the identification of the lowest modulating frequencies. The present work brings to light salient AMs of the shear layer waves and identifies their source as three-dimensional dynamics existing inside the cavity. Indeed, the recirculating inner flow gives rise to centrifugal instabilities, which entail broad-band frequencies down two orders of magnitude lower than those of the self-sustained oscillations. Using time-resolved PIV (TRPIV) in two planes, the nonlinearly saturated dynamics is analysed in both space and time by means of proper orthogonal decomposition, global Fourier decomposition and Hilbert–Huang transforms. The inner flow can be decomposed as three-dimensional waves carried by the main recirculation. Bicoherence distributions are computed to highlight the nonlinear interactions between these spanwise-travelling waves inside the cavity and the locked-on modes. The modulated envelope of the shear layer oscillations is extracted and investigated with regards to the inner-flow dynamics. Strong cross-correlations, in time rather than in space, reveal a global coupling mechanism, possibly related to the beating of the spanwise-travelling waves.

JFM classification

Instability: Instability Wakes/Jets: Shear layers Vortex Flows: Vortex Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 759 , 25 November 2014 , pp. 546 - 578
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© 2014 Cambridge University Press 

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