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A numerical study of the hole-tone phenomenon subjected to non-axisymmetric shape perturbations of the jet nozzle

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Abstract

This paper presents a numerical analysis of the hole-tone phenomenon (Rayleigh’s bird-call), based on a three-dimensional discrete vortex method. Evaluation of the sound generated by the self-sustained flow oscillations is based on the Powell–Howe theory of vortex sound and a boundary integral/element method. While the fundamental problem can be modeled well under the assumption of axial symmetry, the purpose of employing a full three-dimensional model is to investigate the influence of non-axisymmetric perturbations of the jet on the sound generation (with a view to flow control). Experimentally, such perturbations can be applied at the jet nozzle via piezoelectric or electro-mechanical actuators, placed circumferentially inside the nozzle at its exit. In the mathematical/numerical model, this is simulated by wave motions of a deformable nozzle. Both standing and traveling (rotating) waves are considered. It is shown that a considerable reduction of the sound generation is possible.

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Authors and Affiliations

  1. Department of Mechanical Systems Engineering, Faculty of Engineering, Yamagata University, Jonan 4-3-16, Yonezawa, Yamagata, 992-8510, Japan

    Mikael A. Langthjem

  2. Institute of Fluid Science, Tohoku University, Katahira 2-1-1, Aoba-ku, Sendai, Miyagi, 980-8577, Japan

    Masami Nakano

Authors
  1. Mikael A. Langthjem
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  2. Masami Nakano
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Correspondence to Mikael A. Langthjem.

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Communicated by J. D. Eldredge.

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Langthjem, M.A., Nakano, M. A numerical study of the hole-tone phenomenon subjected to non-axisymmetric shape perturbations of the jet nozzle. Theor. Comput. Fluid Dyn. 29, 127–153 (2015). https://doi.org/10.1007/s00162-015-0343-z

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