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On the estimation of wall pressure coherence using time-resolved tomographic PIV

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Abstract

Three-dimensional time-resolved velocity field measurements are obtained using a high-speed tomographic Particle Image Velocimetry (PIV) system on a fully developed flat plate turbulent boundary layer for the estimation of wall pressure fluctuations. The work focuses on the applicability of tomographic PIV to compute the coherence of pressure fluctuations, with attention to the estimation of the stream and spanwise coherence length. The latter is required for estimations of aeroacoustic noise radiation by boundary layers and trailing edge flows, but is also of interest for vibro-structural problems. The pressure field is obtained by solving the Poisson equation for incompressible flows, where the source terms are provided by time-resolved velocity field measurements. Measured 3D velocity data is compared to results obtained from planar PIV, and a Direct Numerical Simulation (DNS) at similar Reynolds number. An improved method for the estimation of the material based on a least squares estimator of the velocity derivative along a particle trajectory is proposed and applied. Computed surface pressure fluctuations are further verified by means of simultaneous measurements by a pinhole microphone and compared to the DNS results and a semi-empirical model available from literature. The correlation coefficient for the reconstructed pressure time series with respect to pinhole microphone measurements attains approximately 0.5 for the band-pass filtered signal over the range of frequencies resolved by the velocity field measurements. Scaled power spectra of the pressure at a single point compare favorably to the DNS results and those available from literature. Finally, the coherence of surface pressure fluctuations and the resulting span- and streamwise coherence lengths are estimated and compared to semi-empirical models and DNS results.

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Notes

  1. The vector spacing for PIV is one quarter the interrogation element size (overlap factor 75 %).

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Acknowledgments

This research is supported by the European Community’s Seventh Framework Programme (FP7/2007–2013) under the AFDAR project (Advanced Flow Diagnostics for Aeronautical Research). Grant agreement No.265695. The authors acknowledge the Italian computing center CINECA for the availability of high performance computing resources and support through the 2010-2011 ISCRA Award.

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Authors and Affiliations

  1. Department of Aerodynamics, Delft University of Technology, Kluyverweg 2, 2629HT, Delft, The Netherlands

    Stefan Pröbsting & Fulvio Scarano

  2. Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma ‘La Sapienza’, Via Eudossiana 18, 00184, Rome, Italy

    Matteo Bernardini & Sergio Pirozzoli

Authors
  1. Stefan Pröbsting
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  2. Fulvio Scarano
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  3. Matteo Bernardini
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  4. Sergio Pirozzoli
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Correspondence to Stefan Pröbsting.

Additional information

This article is part of the Topical Collection on Application of Laser Techniques to Fluid Mechanics 2012.

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Pröbsting, S., Scarano, F., Bernardini, M. et al. On the estimation of wall pressure coherence using time-resolved tomographic PIV. Exp Fluids 54, 1567 (2013). https://doi.org/10.1007/s00348-013-1567-6

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  • DOI: https://doi.org/10.1007/s00348-013-1567-6

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