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 and Ziada (2010, “Flow-Excited Resonance of Trapped Modes of Ducted Shallow Cavities,” J. Fluids Struct., 26(1), pp. 92–120; 2011, “Azimuthal Behaviour of Flow-Excited Diametral Modes of Internal Shallow Cavities,” J. Sound Vib., 330(15), pp. 3666–3683; and 2012, “Effect of Mean Flow on the Trapped Modes of Internal Cavities,” J. Fluids Struct., 33, pp. 70–84) 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.
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June 2016
Research-Article
Flow-Excited Acoustic Resonance of Trapped Modes of a Ducted Rectangular Cavity
Michael Bolduc,
Michael Bolduc
Department of Mechanical Engineering,
McMaster University,
Hamilton, ON L8S 4L8, Canada
McMaster University,
Hamilton, ON L8S 4L8, Canada
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Samir Ziada,
Samir Ziada
Department of Mechanical Engineering,
McMaster University,
Hamilton, ON L8S 4L8, Canada
McMaster University,
Hamilton, ON L8S 4L8, Canada
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Philippe Lafon
Philippe Lafon
IMSIA/EDF R&D,
Clamart 92141, France
Clamart 92141, France
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Michael Bolduc
Department of Mechanical Engineering,
McMaster University,
Hamilton, ON L8S 4L8, Canada
McMaster University,
Hamilton, ON L8S 4L8, Canada
Samir Ziada
Department of Mechanical Engineering,
McMaster University,
Hamilton, ON L8S 4L8, Canada
McMaster University,
Hamilton, ON L8S 4L8, Canada
Philippe Lafon
IMSIA/EDF R&D,
Clamart 92141, France
Clamart 92141, France
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 21, 2015; final manuscript received December 4, 2015; published online February 5, 2016. Assoc. Editor: Tomomichi Nakamura.
J. Pressure Vessel Technol. Jun 2016, 138(3): 031303 (14 pages)
Published Online: February 5, 2016
Article history
Received:
August 21, 2015
Revised:
December 4, 2015
Citation
Bolduc, M., Ziada, S., and Lafon, P. (February 5, 2016). "Flow-Excited Acoustic Resonance of Trapped Modes of a Ducted Rectangular Cavity." ASME. J. Pressure Vessel Technol. June 2016; 138(3): 031303. https://doi.org/10.1115/1.4032281
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