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Spatial distribution of pressure resonance in compressible cavity flow

Published online by Cambridge University Press:  11 June 2018

Katya M. Casper Open the ORCID record for Katya M. Casper [Opens in a new window] ,
Justin L. Wagner Open the ORCID record for Justin L. Wagner [Opens in a new window] ,
Steven J. Beresh ,
Russell W. Spillers ,
John F. Henfling  and
Lawrence J. Dechant
Katya M. Casper*
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Justin L. Wagner
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Steven J. Beresh
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Russell W. Spillers
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
John F. Henfling
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
Lawrence J. Dechant
Affiliation:
Sandia National Laboratories, Albuquerque, NM 87185, USA
*
†Email address for correspondence: [email protected]
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Abstract

The development of the unsteady pressure field on the floor of a rectangular cavity was studied at Mach 0.9 using high-frequency pressure-sensitive paint. Power spectral amplitudes at each cavity resonance exhibit a spatial distribution with a streamwise-oscillatory pattern; additional maxima and minima appear as the mode number is increased. This spatial distribution also appears in the propagation velocity of modal pressure disturbances. This behaviour was tied to the superposition of a downstream-propagating shear-layer disturbance and an upstream-propagating acoustic wave of different amplitudes and convection velocities, consistent with the classical Rossiter model. The summation of these waves generates a net downstream-travelling wave whose amplitude and phase velocity are modulated by a fixed envelope within the cavity. This travelling-wave interpretation of the Rossiter model correctly predicts the instantaneous modal pressure behaviour in the cavity. Subtle spanwise variations in the modal pressure behaviour were also observed, which could be attributed to a shift in the resonance pattern as a result of spillage effects at the edges of the finite-width cavity.

JFM classification

Compressible Flows: Compressible Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 848 , 10 August 2018 , pp. 660 - 675
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Copyright
© Cambridge University Press 2018. This is a work of the U.S. Government and is not subject to copyright protection in the United States. 

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