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The effect of active grid initial conditions on high Reynolds number turbulence

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Abstract

The most expansive active grid parametric study to date is conducted in order to ascertain the relative importance of the various grid parameters. It is identified that the three most important parameters are the Rossby number, Ro, the grid Reynolds number, \(Re_M,\) and the wing geometry. For \(Ro > 50\), an asymptotic state in turbulence intensity is reached where increasing Ro further does not change the turbulence intensity, while other parameters continue to vary. Three wing geometries are used: solid square wings, solid circular wings, and square wings with holes. It is shown that the wings with the greatest blockage produce the highest turbulence intensities and \(Re_\lambda\), but that parameters such as the Kolmogorov, Taylor, and integral scales are not significantly influenced by wing geometry. Finally, it is demonstrated that for several different sets of initial conditions that produce the same \(Re_\lambda\), the spectra are collapsed everywhere but at the largest scales when normalized by Kolmogorov variables. This result suggests that regardless of the very different origins of the turbulence, the shape of the spectra at high wavenumbers is dependent only on \(Re_\lambda\), hence demonstrating a degree of independence from the initial conditions.

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Acknowledgments

This project was funded through a Natural Sciences and Engineering Research Council of Canada (NSERC) Engage grant in collaboration with Anemoi Technologies Inc., specialists in simulation and test facilities. R.J.H. acknowledges financial support from the Ontario Provincial Government and NSERC. The authors would like to thank Mr. S. Ciurzynski of Anemoi Technologies Inc. who aided in the design and manufacturing of the active grid. Special appreciation is given to Mr. R. Santos Baptista who aided with the data acquisition, and to Ms. E. Dogan and Prof. B. Ganapathisubramani for insightful comments on the spectra.

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Authors and Affiliations

  1. Institute for Aerospace Studies, University of Toronto, Toronto, ON, M3H 5T6, Canada

    R. J. Hearst & P. Lavoie

Authors
  1. R. J. Hearst
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  2. P. Lavoie
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Corresponding author

Correspondence to P. Lavoie.

Appendix: Supplemental parametric study tables

Appendix: Supplemental parametric study tables

See Tables 3, 4, 5 and 6.

Table 3 The effect of mean velocity on the produced turbulence
Full size table
Table 4 Grid and flow properties for test cases with square wings with holes
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Table 5 Grid and flow properties for test cases with solid square wings
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Table 6 Grid and flow properties for test cases with solid circular wings
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Hearst, R.J., Lavoie, P. The effect of active grid initial conditions on high Reynolds number turbulence. Exp Fluids 56, 185 (2015). https://doi.org/10.1007/s00348-015-2052-1

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  • DOI: https://doi.org/10.1007/s00348-015-2052-1

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