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Spatial stability analysis of a flap side edge vortex

机译:襟翼侧缘涡旋的空间稳定性分析

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The flap side edge vortex is suspected to contribute to aerodynamic noise generation. Using a temporal stability analysis, Khorrami and Singer have shown that unstable modes could exist in this vortex. Due to the convective nature of this instability, a spatial analysis is more suitable. This is the subject of the present work. The mean flow past a 2D wing with a half-span flap has been computed with a steady 3D Navier-Stokes code. Then, local linear stability calculations are performed in several planes perpendicular to the vortex axis. The vortex is assumed axisymmetric and modelled with Batchelor's analytical vortex. Using Gaster's relation, the spatial amplification rate is calculated, giving by integration the relative amplitude of the fluctuations. Some low-frequency fluctuations are seen to be preferentially amplified by the vortex, but the amplifications remain small, so that this mechanism alone should not produce important noise in this particular configuration, where the flap deflection angle is moderate.
机译:襟翼侧缘涡流被怀疑有助于产生空气动力噪声。使用时间稳定性分析,Khorrami和Singer已证明该旋涡中可能存在不稳定模式。由于这种不稳定性的对流性质,更适合进行空间分析。这是当前工作的主题。经过带有半跨度襟翼的2D机翼的平均流量已使用稳定的3D Navier-Stokes代码进行了计算。然后,在垂直于涡旋轴的几个平面上执行局部线性稳定性计算。假定该涡旋是轴对称的,并用Batchelor的解析涡旋建模。使用Gaster关系,可以计算空间放大率,并通过积分给出波动的相对幅度。可以看到,一些低频波动优先被涡流放大,但是放大幅度仍然很小,因此,在襟翼偏转角适中的这种特殊配置下,仅靠这种机制就不会产生重要的噪音。

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