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Dimensionless Representations of the Interaction Between Turbulent Boundary Layer and Elastic Plates

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Flinovia - Flow Induced Noise and Vibration Issues and Aspects

Abstract

The study of the interaction between elastic structures and turbulent boundary layer still presents some uncertainties. This is true even assuming a one-way coupling and stationary turbulent boundary layer (TBL) over smooth and flat plates in subsonic flow. The reasons are mainly related to (i) the limitation for the direct numerical simulations of Reynolds number value of the Navier-Stokes equations, (ii) the high frequency structural and acoustic numerical and modelling difficulties and (iii) the lack of experimental data representative of all frequency-wavenumber pressure fluctuation regions, needed for the direct validation of the semi-empirical pressure models. In fact, when the pressure convective terms are the dominant sources of vibrations and radiated noise, consolidated and almost case independent formulations exist; on the contrary, when the subconvective terms are of concern, the definition of models seems to be strongly dependent on the flow conditions and the characteristics of the fluid-structure interaction. In order to find a general procedure for the estimation of the response of elastic thin panels to TBL excitation, some scaling laws derived using dimensional analysis and energetic considerations are proposed. These dimensionless relations contain a combination of both flow and structural parameters yielding to simple analytical expressions relating a dimensionless structural response metric and a dimensionless frequency. The found scaling expressions are validated with wall pressure fluctuations and vibrational response data acquired in wind tunnels and towing tank for the case of thin flat plates made of homogeneous isotropic and composite materials.

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Authors and Affiliations

  1. CNR-INSEAN, Marine Technology Research Institute, National Research Council of Italy, Via di Vallerano 139, Rome, Italy

    Elena Ciappi

  2. Department of Industrial Engineering, Aerospace Section, University of Naples Federico II, Naples, Italy

    Sergio De Rosa & Francesco Franco

Authors
  1. Elena Ciappi
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  2. Sergio De Rosa
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  3. Francesco Franco
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Correspondence to Elena Ciappi .

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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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Ciappi, E., De Rosa, S., Franco, F. (2015). Dimensionless Representations of the Interaction Between Turbulent Boundary Layer and Elastic Plates. 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_13

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  • DOI: https://doi.org/10.1007/978-3-319-09713-8_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09712-1

  • Online ISBN: 978-3-319-09713-8

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