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Three-dimensional effects on the transfer function of a rectangular-section body in turbulent flow

Published online by Cambridge University Press:  10 June 2019

Yang Yang Open the ORCID record for Yang Yang [Opens in a new window] ,
Mingshui Li  and
Haili Liao
Yang Yang
Affiliation:
Research Centre for Wind Engineering, Southwest Jiaotong University, Chengdu 610031, China
Mingshui Li*
Affiliation:
Research Centre for Wind Engineering, Southwest Jiaotong University, Chengdu 610031, China Key Laboratory for Wind Engineering of Sichuan Province, Chengdu 610031, China
Haili Liao
Affiliation:
Research Centre for Wind Engineering, Southwest Jiaotong University, Chengdu 610031, China Key Laboratory for Wind Engineering of Sichuan Province, Chengdu 610031, China
*
†Email address for correspondence: [email protected]
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Abstract

This paper investigates the influence of three-dimensional effects on the transfer function of a rectangular-section body in turbulent flow. The dimensionless factor $\unicode[STIX]{x1D713}$, as derived by Li et al. (J. Fluid Mech., vol. 847, 2018, pp. 768–785), is adapted to evaluate this influence. The calculation of $\unicode[STIX]{x1D713}$ requires the spanwise influence term. For this purpose, an adapted form of the lift coherence function is derived, enabling the use of the measured lift coherence for the estimation of the spanwise influence term. Three rectangular models with different cross-sections (chord-to-depth ratios of 3, 5 and 10) are chosen for testing, and a NACA 0015 airfoil model is tested for comparison. Using the measured spanwise influence terms, the dimensionless factors of these models are then numerically calculated under different ratios of the turbulent integral scale to the chord $\unicode[STIX]{x1D6FE}$ and aspect ratios $\unicode[STIX]{x1D703}$. It is shown that the dimensionless factors of the rectangular models increase as $\unicode[STIX]{x1D6FE}$ and $\unicode[STIX]{x1D703}$ increase, which are similar to the dimensionless factor of the airfoil model. If $\unicode[STIX]{x1D6FE}$ and $\unicode[STIX]{x1D703}$ have suitable values, the strip theory could be applicable to the rectangular-section body. It is also found that the dimensionless factors of all the rectangular models are larger than the dimensionless factor of the airfoil model under the same parameters. The smaller the chord-to-depth ratio is, the larger the dimensionless factor is. Using the strip theory to calculate the lift response of the rectangular-section body may provide more accurate estimation. Additionally, the one-wavenumber transfer functions of these models are determined under the consideration of the three-dimensional effects. The results show that the experimental transfer functions of the rectangular models cannot be captured by the Sears function. They are larger than the Sears function at lower frequencies, while falling at a faster rate as the frequency increases. For bluff bodies with separated flow, the modified transfer function presented here appears to be an appropriate approach.

JFM classification

Aerodynamics: Aerodynamics Turbulent Flows: Turbulent Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 872 , 10 August 2019 , pp. 348 - 366
Copyright
© 2019 Cambridge University Press 

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