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Effect of finite cavity width on flow oscillation in a low-Mach-number cavity flow

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Abstract

The current study is focused on examining the effect of the cavity width and side walls on the self-sustained oscillation in a low Mach number cavity flow with a turbulent boundary layer at separation. An axisymmetric cavity geometry is employed in order to provide a reference condition that is free from any side-wall influence, which is not possible to obtain with a rectangular cavity. The cavity could then be partially filled to form finite-width geometry. The unsteady surface pressure is measured using microphone arrays that are deployed on the cavity floor along the streamwise direction and on the downstream wall along the azimuthal direction. In addition, velocity measurements using two-component Laser Doppler Anemometer are performed simultaneously with the array measurements in different azimuthal planes. The compiled data sets are used to investigate the evolution of the coherent structures generating the pressure oscillation in the cavity using linear stochastic estimation of the velocity field based on the wall-pressure signature on the cavity end wall. The results lead to the discovery of pronounced harmonic pressure oscillations near the cavity’s side walls. These oscillations, which are absent in the axisymmetric cavity, are linked to the establishment of a secondary mean streamwise circulating flow pattern near the side walls and the interaction of this secondary flow with the shear layer above the cavity.

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Acknowledgments

This work was sponsored by a grant through the National Science Foundation (grant number CTS-0425374). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The leading author is also grateful for the support by Zonta International through the Amelia Earhart fellowship.

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  1. Michigan State University, East Lansing, MI, 48824, USA

    Ke Zhang & Ahmed M. Naguib

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  1. Ke Zhang
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  2. Ahmed M. Naguib
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Correspondence to Ahmed M. Naguib.

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Zhang, K., Naguib, A.M. Effect of finite cavity width on flow oscillation in a low-Mach-number cavity flow. Exp Fluids 51, 1209–1229 (2011). https://doi.org/10.1007/s00348-011-1142-y

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  • DOI: https://doi.org/10.1007/s00348-011-1142-y

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