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High-Bandwidth Optical Measurements of the Second-Mode Instability in a Mach 6 Quiet Tunnel

机译:马赫6安静隧道中的第二模式不稳定性的高带宽光学测量。

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Focused schlieren is used in combination with a small-diameter fiber optic and avalanche photodetector to measure second-mode instabilities on a Mach 6 flared-cone model, within the unit Reynolds number range 7.8 to 11.0×10~6 m~(-1). The second-mode instability is readily observed at f_0 ~0(250 kHz), as is harmonic content at 2f_0 and 3f_0. A bispectral analysis shows that after sufficient amplification of the second mode, several nonlinear mechanisms become significant. A self-excited nonlinear interaction of the second mode takes place, resulting in an energy transfer to generate higher harmonics. A variety of nonlinear interactions occur, including ones involving 3f_0, which have not hitherto been reported in the literature. With increasing Reynolds number, phase-coupled interactions are found to be increasingly intermittent, and there is a significant amplitude modulation of the second-mode disturbance at frequencies significantly lower than f_0. At a freestream unit Reynolds number coinciding with the loss of the tunnel's quiet-flow environment, the redistribution of the available energy in the interacting modes eventually involves frequency components throughout much of the spectrum, and there is a filling in of the valleys in between the spectral peaks as the cone boundary layer becomes intermittently turbulent. A parametric study is considered in order to determine the sensitivity of f_0 to small angles-of-attack of the test article about 0° and provides a convenient measure of angle misalignment for numerical simulations.
机译:聚焦的schlieren与小直径光纤和雪崩光电探测器结合使用,可在Mach 6喇叭形圆锥模型上测量第二模态不稳定性,单位为雷诺数范围7.8至11.0×10〜6 m〜(-1) 。在f_0〜0(250 kHz)处容易观察到第二模式的不稳定性,在2f_0和3f_0处的谐波含量也很容易观察到。双谱分析表明,在充分放大第二种模式后,一些非线性机制变得很重要。第二模式的自激非线性相互作用发生,导致能量转移产生更高的谐波。发生了多种非线性相互作用,包括涉及3f_0的相互作用,迄今为止在文献中尚未报道。随着雷诺数的增加,发现相位耦合的相互作用越来越断续,并且在显着低于f_0的频率下,第二模式干扰的幅度调制很大。在一个自由流单位的雷诺数与隧道的静流环境的损失相吻合时,相互作用模式中可用能量的重新分配最终涉及整个频谱的大部分频率分量,并且在两者之间存在一个波谷。当圆锥边界层间歇性地湍流时,谱峰达到峰值。为了确定f_0对约0°的测试物品的小攻角的敏感性,考虑进行参数研究,并为数值模拟提供方便的角度失准量度。

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