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Turbulence velocity spectra and intensities in the inflow of a turbine rotor

  • I. A. Milne (a1) and J. M. R. Graham (a2)

Abstract

The changes in spectra and intensities of the streamwise component of turbulent velocity are calculated in the inflow of a turbine rotor. The flow is initially calculated in the limit when the turbulence is of small scale compared with the rotor diameter. Rapid distortion theory (RDT), Batchelor & Proudman (Q. J. Mech. Appl. Maths, vol. 7 (1), 1954, pp. 83–103) (BP), for small-scale turbulence is combined with the effect of the fluctuating potential flow field on the turbulence caused by the direct interaction of the incident turbulence with the rotor as a sheet of resistance. A second computation is then carried out for turbulence of larger length scale. The results of the calculations are compared with velocity measurements in the inflow of both a commercial wind turbine and a tidal turbine rotor.

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Corresponding author

Email address for correspondence: ian.milne@uwa.edu.au

References

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Milne, I. A., Sharma, R. N., Flay, R. G. J. & Bickerton, S. 2013 Characteristics of the turbulence in the flow at a tidal stream power site. Phil. Trans. R. Soc. Lond. A 371, 20120196.
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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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