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 |
| Journal | Journal of Fluid Mechanics |
| Volume | 870 |
| DOIs | |
| Publication status | Published - 10 Jul 2019 |
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Turbulence velocity spectra and intensities in the inflow of a turbine rotor. / Milne, I. A.; Graham, J. M.R.
In: Journal of Fluid Mechanics, Vol. 870, 10.07.2019, p. 870R31-870R311.Research output: Contribution to journal › Article
TY - JOUR
T1 - Turbulence velocity spectra and intensities in the inflow of a turbine rotor
AU - Milne, I. A.
AU - Graham, J. M.R.
PY - 2019/7/10
Y1 - 2019/7/10
N2 - 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.
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.
KW - flow-structure interactions
KW - turbulence theory
UR - http://www.scopus.com/inward/record.url?scp=85065848324&partnerID=8YFLogxK
U2 - 10.1017/jfm.2019.339
DO - 10.1017/jfm.2019.339
M3 - Article
VL - 870
SP - 870R31-870R311
JO - Journal of Fluid Mechanics.
JF - Journal of Fluid Mechanics.
SN - 0022-1120
ER -