A mathematical model for the interaction of anisotropic turbulence with a rigid leading edge

IF 3.9 2区 工程技术 Q1 MECHANICS Journal of Fluid Mechanics Pub Date : 2023-09-04 DOI:10.1017/jfm.2023.630
A. Hales, Lorna J. Ayton, Chaoyang Jiang, Ahmed Mahgoub, Roman Kisler, Rowena Dixon, C. D. de Silva, Danielle Moreau, C. Doolan
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Abstract

Abstract This paper investigates the effect of anisotropic turbulence on generating leading-edge aerofoil–turbulence interaction noise. Thin aerofoil theory is used to model an aerofoil as a semi-infinite plate, and the scattering of incoming turbulence is solved via the Wiener–Hopf technique. This theoretical solution encapsulates the diffraction problem for gust–aerofoil interaction and is integrated over a wavenumber–frequency spectrum to account for general incoming anisotropic turbulence. We develop a novel axisymmetric wavenumber–frequency model that captures the wall-normal variation in turbulence characteristics, differing from previous approaches. Then, the method of Gaussian decomposition, in which the generalised spectra are approximated through the weighted sum of individual Gaussian eddy models, is applied to fit the turbulence model to experimental data. Comparisons with experimental data show good agreement for a range of anisotropic ratios.
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具有刚性前缘的各向异性湍流相互作用的数学模型
摘要研究了各向异性湍流对前缘翼型-湍流相互作用噪声产生的影响。采用薄翼理论将翼型模拟为半无限板,采用维纳-霍普夫技术求解了来流湍流的散射问题。该理论解决方案封装了阵风-翼型相互作用的衍射问题,并在波数-频率谱上进行了积分,以解释一般的入射各向异性湍流。我们开发了一种新的轴对称波数-频率模型,该模型捕捉了湍流特性的壁法向变化,与以前的方法不同。然后,采用高斯分解的方法,通过单个高斯涡模型的加权和逼近广义谱,将湍流模型拟合到实验数据中。与实验数据的比较表明,各向异性比率的范围符合良好。
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来源期刊
CiteScore
6.50
自引率
27.00%
发文量
945
审稿时长
5.1 months
期刊介绍: Journal of Fluid Mechanics is the leading international journal in the field and is essential reading for all those concerned with developments in fluid mechanics. It publishes authoritative articles covering theoretical, computational and experimental investigations of all aspects of the mechanics of fluids. Each issue contains papers on both the fundamental aspects of fluid mechanics, and their applications to other fields such as aeronautics, astrophysics, biology, chemical and mechanical engineering, hydraulics, meteorology, oceanography, geology, acoustics and combustion.
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