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Fluid-acoustic interactions in self-sustained oscillations in turbulent cavity flows. I. Fluid-dynamic oscillations

Phys. Fluids 21, 105103 (2009); doi:10.1063/1.3253326

Published 23 October 2009

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Hiroshi Yokoyama1 and Chisachi Kato2
1Graduate School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
2Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan
The fluid-acoustic interactions in a flow over a two-dimensional rectangular cavity are investigated by directly solving the compressible Navier–Stokes equations. The upstream boundary layer is turbulent. The depth-to-length ratio of the cavity is 0.5. Phase-averaged flow fields reveal the mechanism for the acoustic radiation. Large-scale vortices form in the shear layer that separates from the upstream edge of the cavity. When a large-scale vortex collides with the downstream wall, the low-pressure fluid in the vortex spreads along the downstream wall. As a result, a local downward velocity is induced by the local pressure gradient, causing the upstream fluid to expand. Finally, an expansion wave propagates to the outside of the cavity. The large-scale vortices originate from the convective disturbances that develop in the shear layer. The disturbances grow due to the Kelvin–Helmholtz instability, similar to the growth of those in a laminar cavity flow. To clarify the mechanism for the generation of the initial convective disturbances, computations for backward-facing step flows with an artificial acoustic source are also performed. As the artificial acoustic waves become more intense, the initial convective disturbances in the shear layer become more intense while the spatial growth rate of these disturbances does not change. This means that the initial convective disturbances in the shear layer are induced by the acoustic waves. ©2009 American Institute of Physics
History: Received 25 March 2009; accepted 18 September 2009; published 23 October 2009
Permalink: http://link.aip.org/link/?PHFLE6/21/105103/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.27.nb
    Boundary layer turbulence
  • 47.55.P-
    Buoyancy-driven flows; convection
  • 47.32.cb
    Vortex interactions
  • 47.20.Ib
    Instability of boundary layers; flow separation
  • 47.27.E-
    Turbulence simulation and modeling
  • 89.20.Kk
    Engineering
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1070-6631 (print)   1089-7666 (online)
Publisher:
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