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

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)870R31-870R311
JournalJournal of Fluid Mechanics
Volume870
DOIs
Publication statusPublished - 10 Jul 2019

Fingerprint

turbines
rotors
Turbulence
Turbines
Rotors
turbulence
potential flow
wind turbines
Potential flow
velocity measurement
Velocity measurement
Wind turbines
Flow fields
flow distribution
interactions

Cite this

@article{fd7cef99376749209aef687b353fe15e,
title = "Turbulence velocity spectra and intensities in the inflow of a turbine rotor",
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.",
keywords = "flow-structure interactions, turbulence theory",
author = "Milne, {I. A.} and Graham, {J. M.R.}",
year = "2019",
month = "7",
day = "10",
doi = "10.1017/jfm.2019.339",
language = "English",
volume = "870",
pages = "870R31--870R311",
journal = "Journal of Fluid Mechanics.",
issn = "0022-1120",
publisher = "Cambridge University Press",

}

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 journalArticle

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 -