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Resonance of Trapped Acoustic Modes of a Ducted Rectangular Cavity

[+] Author Affiliations
Michael Bolduc, Samir Ziada

McMaster University, Hamilton, ON, Canada

Philippe Lafon

IMSIA / EDF R&D, Clamart, France

Paper No. PVP2015-45259, pp. V004T04A025; 12 pages
  • ASME 2015 Pressure Vessels and Piping Conference
  • Volume 4: Fluid-Structure Interaction
  • Boston, Massachusetts, USA, July 19–23, 2015
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 978-0-7918-5697-0
  • Copyright © 2015 by ASME


Flow over ducted cavities can lead to strong resonances of the trapped acoustic modes due to the presence of the cavity within the duct. Aly & Ziada [1–3] investigated the excitation mechanism of acoustic trapped modes in axisymmetric cavities. These trapped modes in axisymmetric cavities tend to spin because they do not have preferred orientation. The present paper investigates rectangular cross-sectional cavities as this cavity geometry introduces an orientation preference to the excited acoustic mode. Three cavities are investigated, one of which is square while the other two are rectangular. In each case, numerical simulations are performed to characterize the acoustic mode shapes and the associated acoustic particle velocity fields. The test results show the existence of stationary modes, being excited either consecutively or simultaneously, and a particular spinning mode for the cavity with square cross-section. The computed acoustic pressure and particle velocity fields of the excited modes suggest complex oscillation patterns of the cavity shear layer because it is excited, at the upstream corner, by periodic distributions of the particle velocity along the shear layer circumference.

Copyright © 2015 by ASME



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