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Effect of sweep angle and of wall-pressure statistics on the free-field directivity of airfoil trailing-edge noise

机译:后掠角和壁压统计对翼型后缘噪声自由场方向性的影响

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Highly-swept blades are used in automotive cooling systems, in the fans of modern ultrahigh by-pass ratio engines and in counter-rotating open rotors in part in order to reduce noise emission. This work investigates analytically the effect of sweep on the free-field noise emission from the trailing edge of an isolated airfoil, as a first step towards a more complete approach dedicated to rotating blades. Firstly, Amiet-Schwarzschild's technique is extended to the case of a swept airfoil in order to assess the effect of sweep on the sound directivity generated both by a single three-dimensional gust and by the combined effect of all gusts at a given frequency. Sweep also affects the wavenumber contribution of the wall-pressure fluctuations beneath a turbulent boundary layer. This effect is studied by means of a Generalized Corcos model, which allows distribute energy in the chordwise and spanwise wavenumber ranges independently. The sound power level is found proportional to the squared cosine of the sweep angle at all frequencies. Furthermore, the role of the spanwise-wavenumber distribution of wall-pressure power spectral density in amplifying the radiated noise is investigated.
机译:高扫掠的叶片用于汽车冷却系统,现代超高旁通比发动机的风扇以及部分反向旋转的开放式转子中,目的是减少噪声排放。这项工作分析性地研究了扫掠对孤立翼型后缘的自由场噪声发射的影响,这是朝着专用于旋转叶片的更完整方法迈出的第一步。首先,Amiet-Schwarzschild的技术扩展到了后掠翼型的情况,以便评估扫掠对单个三维阵风和所有阵风在给定频率下的综合作用所产生的声音指向性的影响。扫频还会影响湍流边界层下方壁压波动的波数贡献。通过通用Corcos模型研究此效应,该模型允许在弦向和展向波数范围内独立分配能量。发现在所有频率下,声功率级与扫描角的平方余弦成比例。此外,研究了壁压功率谱密度的展向波数分布在放大辐射噪声中的作用。

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