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Resonance dynamics in compressible cavity flows using time-resolved velocity and surface pressure fields

Published online by Cambridge University Press:  02 October 2017

Justin L. Wagner Open the ORCID record for Justin L. Wagner [Opens in a new window] ,
Steven J. Beresh ,
Katya M. Casper Open the ORCID record for Katya M. Casper [Opens in a new window] ,
Edward P. DeMauro  and
Srinivasan Arunajatesan
Justin L. Wagner*
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Steven J. Beresh
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Katya M. Casper
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Edward P. DeMauro
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Srinivasan Arunajatesan
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
*
†Email address for correspondence: jwagner@sandia.gov
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Abstract

The resonance modes in Mach 0.94 turbulent flow over a cavity having a length-to-depth ratio of five were explored using time-resolved particle image velocimetry (TR-PIV) and time-resolved pressure sensitive paint (TR-PSP). Mode switching was quantified in the velocity field simultaneous with the pressure field. As the mode number increased from one through three, the resonance activity moved from a region downstream within the recirculation region to areas further upstream in the shear layer, an observation consistent with linear stability analysis. The second and third modes contained organized structures associated with shear layer vortices. Coherent structures occurring in the velocity field during modes two and three exhibited a clear modulation in size with streamwise distance. The streamwise periodicity was attributable to the interference of downstream-propagating vortical disturbances with upstream-travelling acoustic waves. The coherent structure oscillations were approximately $180^{\circ }$ out of phase with the modal surface pressure fluctuations, analogous to a standing wave. Modal propagation (or phase) velocities, based on cross-correlations of bandpass-filtered velocity fields were found for each mode. The phase velocities also showed streamwise periodicity and were greatest at regions of maximum constructive interference where coherent structures were the largest. Overall, the phase velocities increased with modal frequency, which coincided with the modal activity residing at higher portions of the cavity where the local mean flow velocity was elevated. Together, the TR-PIV and TR-PSP provide unique details not only on the distribution of modal activity throughout the cavity, but also new understanding of the resonance mechanism as observed in the velocity field.

JFM classification

Acoustics: Aeroacoustics Compressible Flows: Compressible Flows Aerodynamics: High-speed flow
Type
Papers
Information
Journal of Fluid Mechanics , Volume 830 , 10 November 2017 , pp. 494 - 527
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Copyright
© 2017 Cambridge University Press 

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Footnotes

‡

Present address: Rutgers, The State University of New Jersey, Piscataway, NJ 08854, USA.

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