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No Access Submitted: 12 May 2016 Accepted: 14 October 2016 Published Online: 28 October 2016

  • Inverse structure functions in the canonical wind turbine array boundary layer

Journal of Renewable and Sustainable Energy 8, 053310 (2016); https://doi.org/10.1063/1.4966228
Bianca Viggiano1, Moira S. Gion1, Naseem Ali1, Murat Tutkun2,3, and Raúl Bayoán Cal1
more...View Affiliations
  • 1Department of Mechanical and Materials Engineering, Portland State University, Portland, Oregon 97201, USA
  • 2Department of Process and Fluid Flow Technology, IFE, Kjeller, Norway
  • 3Department of Mathematics, University of Oslo, Blindern, 0316 Oslo, Norway
View Contributors
  • Bianca Viggiano
  • Moira S. Gion
  • Naseem Ali
  • Murat Tutkun
  • Raúl Bayoán Cal
ABSTRACT
Wind tunnel measurements for a 3 × 3 canonical wind turbine array boundary layer are obtained using hot-wire anemometer velocity signals. Two downstream locations are considered, referring to the near- and far-wake, and 21 vertical points are acquired per profile. Velocity increments and exit distances are used to quantify inverse structure functions at both downstream locations. Inverse structure functions in the near-wake show a similar profile for the main vertical locations, but diverge as the moment is increased. In the far-wake, inverse structure functions converge toward a single function for all vertical location and moments. The scaling exponents for inverse structure functions are calculated directly and relatively, using extended self similarity. Scaling exponents show strong dependence on vertical position along the wind turbine profile in the near-wake and remain relatively constant in the far-wake. Intermittency in the near-wake is indicated by the nonlinear behavior of the direct and relative scaling exponents when plotted against their respective moments.

ACKNOWLEDGMENTS

This work was in part funded by the National Science Foundation (NSF-CBET-1034581).

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  1. © 2016 Author(s). Published by AIP Publishing.

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