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

I. A. Milne; J. M.R. Graham

doi:10.1017/jfm.2019.339

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

I. A. Milne, J. M.R. Graham

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9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	870R31-870R311
Number of pages	11
Journal	Journal of Fluid Mechanics
Volume	870
DOIs	https://doi.org/10.1017/jfm.2019.339
Publication status	Published - 10 Jul 2019

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10.1017/jfm.2019.339

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

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