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The Acoustics of Flow over Rough Elastic Surfaces

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Flinovia - Flow Induced Noise and Vibration Issues and Aspects

Abstract

This paper summarizes an analytical model approach for calculating flow induced sound from either elastic or rigid surfaces with small roughness. The analytical approach used here provides a result for both the wave number-frequency spectrum of the structure’s excitation pressure and the structure’s response to that pressure and can be applied to many types of uneven surfaces, such as those on which are dispersed 2 or 3 dimensional deterministic or random geometric shape irregularities. This paper is focused on 3 dimensional distributed roughness elements. The shape of the unevenness protrudes into the boundary layer above it, acting as a flow spoiler and generating forces and wakes in the immediate region of the roughness element. It is assumed that these shapes are small and in the range of 10 to several hundred viscous scales. We will discuss the effects of surface elasticity on the ability of these sources to produce sound in regions both above the surface (on the flow side for both elastic and inelastic surfaces) and below the surface on the quiescent fluid side (in the case of elastic surfaces). A method for modeling forcing functions will also be presented in the context of the overall theory. The unevenness is presumed to be small enough, or of such a nature, as to not affect the basic elasticity of the surface. In the subject case of rough walls, analytical results will be compared with both aero-acoustics measurements made in multiple facilities and large eddy simulations. All research was made possible by a recent program sponsored by the U.S. Navy’s Office of Naval Research.

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Notes

  1. 1.

    Note that depending on the lateral correlation length of the surface pressure on a forward or backward-facing step, see Sect. 5, one may require adjustment of these results to a line rather than a point force response.

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Authors and Affiliations

  1. Naval Surface Warfare Center, Bethesda, MD, USA

    William K. Blake & Jason M. Anderson

  2. Department of Aerospace and Mechanical Engineering, University of Notre Dame, South Bend, IN, USA

    William K. Blake

Authors
  1. William K. Blake
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  2. Jason M. Anderson
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Correspondence to William K. Blake .

Editor information

Editors and Affiliations

  1. INSEAN - Marine Technology Research Institute, National Research Council of Italy, Rome, Italy

    Elena Ciappi

  2. Department of Industrial Engineering Aerospace Unit, Univ degli Studi di Napoli "Federico II", Napoli, Italy

    Sergio De Rosa

  3. Department of Industrial Engineering Aerospace Unit, Università di Napoli "Federico II", Napoli, Italy

    Francesco Franco

  4. Laboratoire Vibrations Acoustique Mechanical Engineering Department, Nat Inst of Applied Sciences of Lyon, Villeurbanne cedex, France

    Jean-Louis Guyader

  5. Penn State Ctr for Acoustics and Vibr, The Pennsylvania State University, State College, Pennsylvania, USA

    Stephen A. Hambric

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Blake, W.K., Anderson, J.M. (2015). The Acoustics of Flow over Rough Elastic Surfaces. In: Ciappi, E., De Rosa, S., Franco, F., Guyader, JL., Hambric, S. (eds) Flinovia - Flow Induced Noise and Vibration Issues and Aspects. Springer, Cham. https://doi.org/10.1007/978-3-319-09713-8_1

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  • DOI: https://doi.org/10.1007/978-3-319-09713-8_1

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  • Online ISBN: 978-3-319-09713-8

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