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Vertical-axis wind turbine experiments at full dynamic similarity

  • Mark A. Miller (a1), Subrahmanyam Duvvuri (a1), Ian Brownstein (a2), Marcus Lee (a1), John O. Dabiri (a2) (a3) and Marcus Hultmark (a1)...
Abstract

Laboratory experiments were performed on a geometrically scaled vertical-axis wind turbine model over an unprecedented range of Reynolds numbers, including and exceeding those of the full-scale turbine. The study was performed in the high-pressure environment of the Princeton High Reynolds number Test Facility (HRTF). Utilizing highly compressed air as the working fluid enabled extremely high Reynolds numbers while still maintaining dynamic similarity by matching the tip speed ratio (defined as the ratio of tip velocity to free stream, $\unicode[STIX]{x1D706}=\unicode[STIX]{x1D714}R/U$ ) and Mach number (defined at the turbine tip, $Ma=\unicode[STIX]{x1D714}R/a$ ). Preliminary comparisons are made with measurements from the full-scale field turbine. Peak power for both the field data and experiments resides around $\unicode[STIX]{x1D706}=1$ . In addition, a systematic investigation of trends with Reynolds number was performed in the laboratory, which revealed details about the asymptotic behaviour. It was shown that the parameter that characterizes invariance in the power coefficient was the Reynolds number based on blade chord conditions ( $Re_{c}$ ). The power coefficient reaches its asymptotic value when $Re_{c}>1.5\times 10^{6}$ , which is higher than what the field turbine experiences. The asymptotic power curve is found, which is invariant to further increases in Reynolds number.

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Corresponding author
Email address for correspondence: millerma@princeton.edu
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Present address: California Institute of Technology, Pasadena, CA 91125, USA.

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Ashok, A., Van Buren, T. & Smits, A. J. 2015 Asymmetries in the wake of a submarine model in pitch. J. Fluid Mech. 774, 416442.
Chamorro, L. P., Arndt, R. E. A. & Sotiropoulos, F. 2011 Reynolds number dependence of turbulence statistics in the wake of wind turbines. Wind Energy 15, 733742.
Dabiri, J. O. 2011 Potential order-of-magnitude enhancement of wind farm power density via counter-rotating vertical-axis wind turbine arrays. J. Renew. Sustainable Energy 3 (4), 043104.
FloWind 1996 Final project report: high energy rotor development, test and evaluation. Tech. Rep. SAND96-2205, Sandia National Laboratories and FloWind Corporation.
Jacobs, E. N. & Abbott, I. H.1933 The NACA variable-density wind tunnel. Tech. Rep. 416, NACA.
Jiménez, J. M., Hultmark, M. & Smits, A. J. 2010 The intermediate wake of a body of revolution at high Reynolds numbers. J. Fluid Mech. 659, 516539.
Kinzel, M., Mulligan, Q. & Dabiri, J. O. 2012 Energy exchange in an array of vertical-axis wind turbines. J. Turbul. 38, 113.
Llorente, E., Gorostidi, A., Jacobs, M., Timmer, W. A., Munduate, X. & Pires, O. 2014 Wind tunnel tests of wind turbine airfoils at high Reynolds numbers. J. Phys.: Conf. Ser. 524, 012012.
Manwell, J. F., McGowan, J. G. & Rogers, A. L. 2010 Wind Energy Explained: Theory, Design and Application. Wiley.
Miley, S. J.1982 A catalog of low Reynolds number airfoil data for wind turbine applications. Tech. Rep., Texas A&M University.
Mueller, T. J. 1985 The influence of laminar separation and transition on low Reynolds number airfoil hystersis. J. Aircraft 22, 763770.
Sheinman, Y. & Rosen, A. 1992 A dynamic model of the influence of turbulence on the power output of a wind turbine. J. Wind Engng Ind. Aerodyn. 39 (1–3), 329341.
Vallikivi, M., Hultmark, M. & Smits, A. J. 2015 Turbulent boundary layer statistics at very high Reynolds number. J. Fluid Mech. 779, 371389.
Vermeer, L. J., Sørensen, J. N. & Crespo, A. 2003 Wind turbine wake aerodynamics. Prog. Aerosp. Sci. 39, 467510.
Vries, O. D. 1983 On the theory of the horizontal-axis wind turbine. Annu. Rev. Fluid Mech. 15, 7796.
Zagarola, M. V.1996 Mean-flow scaling of turbulent pipe flow. PhD thesis, Princeton University.
Zagarola, M. V. & Smits, A. J. 1998 Mean-flow scaling of turbulent pipe flow. J. Fluid Mech. 373, 3379.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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