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Particle image velocimetry measurements of Mach 3 turbulent boundary layers at low Reynolds numbers

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Abstract

Particle image velocimetry (PIV) measurements of Mach 3 turbulent boundary layers (TBL) have been performed under low Reynolds number conditions, \(Re_\tau =200{-}1000\), typical of direct numerical simulations (DNS). Three reservoir pressures and three measurement locations create an overlap in parameter space at one research facility. This allows us to assess the effects of Reynolds number, particle response and boundary layer thickness separate from facility specific experimental apparatus or methods. The Morkovin-scaled streamwise fluctuating velocity profiles agree well with published experimental and numerical data and show a small standard deviation among the nine test conditions. The wall-normal fluctuating velocity profiles show larger variations which appears to be due to particle lag. Prior to the current study, no detailed experimental study characterizing the effect of Stokes number on attenuating wall-normal fluctuating velocities has been performed. A linear variation is found between the Stokes number (St) and the relative error in wall-normal fluctuating velocity magnitude (compared to hot wire anemometry data from Klebanoff, Characteristics of Turbulence in a Boundary Layer with Zero Pressure Gradient. Tech. Rep. NACA-TR-1247, National Advisory Committee for Aeronautics, Springfield, Virginia, 1955). The relative error ranges from about 10% for \(St=0.26\) to over 50% for \(St=1.06\). Particle lag and spatial resolution are shown to act as low-pass filters on the fluctuating velocity power spectral densities which limit the measurable energy content. The wall-normal component appears more susceptible to these effects due to the flatter spectrum profile which indicates that there is additional energy at higher wave numbers not measured by PIV. The upstream inclination and spatial correlation extent of coherent turbulent structures agree well with published data including those using krypton tagging velocimetry (KTV) performed at the same facility.

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Authors and Affiliations

  1. University of Maryland, College Park, MD, 20742, USA

    J. M. Brooks & A. K. Gupta

  2. AEDC White Oak, 10905 New Hampshire Avenue, Silver Spring, MD, 20903, USA

    M. S. Smith & E. C. Marineau

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  1. J. M. Brooks
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  2. A. K. Gupta
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  3. M. S. Smith
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  4. E. C. Marineau
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Correspondence to J. M. Brooks.

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Brooks, J.M., Gupta, A.K., Smith, M.S. et al. Particle image velocimetry measurements of Mach 3 turbulent boundary layers at low Reynolds numbers. Exp Fluids 59, 83 (2018). https://doi.org/10.1007/s00348-018-2536-x

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