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Time-Frequency Analysis of Rocket Nozzle Wall Pressures During Start-up Transients

机译:启动瞬态过程中火箭喷嘴壁压力的时频分析

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摘要

Surveys of the fluctuating wall pressure were conducted on a sub-scale, thrust- optimized parabolic nozzle in order to develop a physical intuition for its Fourier-azimuthal mode behavior during fixed and transient start-up conditions. These unsteady signatures are driven by shock wave turbulent boundary layer interactions which depend on the nozzle pressure ratio and nozzle geometry. The focus however, is on the degree of similarity between the spectral footprints of these modes obtained from transient start-ups as opposed to a sequence of fixed nozzle pressure ratio conditions. For the latter, statistically converged spectra are computed using conventional Fourier analyses techniques, whereas the former are investigated by way of time-frequency analysis. The findings suggest that at low nozzle pressure ratios -- where the flow resides in a Free Shock Separation state -- strong spectral similarities occur between fixed and transient conditions. Conversely, at higher nozzle pressure ratios -- where the flow resides in Restricted Shock Separation -- stark differences are observed between the fixed and transient conditions and depends greatly on the ramping rate of the transient period. And so, it appears that an understanding of the dynamics during transient start-up conditions cannot be furnished by a way of fixed flow analysis.
机译:为了确定在固定和瞬态启动条件下其傅里叶-方位角模式行为的物理直觉,对壁厚波动的压力进行了调查,并对其进行了推力优化的抛物线优化。这些不稳定的信号是由冲击波湍流边界层相互作用所驱动的,该相互作用取决于喷嘴的压力比和喷嘴的几何形状。但是,重点是从瞬态启动获得的这些模式的光谱足迹之间的相似度,而不是一系列固定的喷嘴压力比条件。对于后者,使用常规傅立叶分析技术计算统计收敛的光谱,而通过时频分析研究前者。研究结果表明,在低喷嘴压力比下(流动以自由激波分离状态存在),在固定和瞬态条件之间会出现很强的光谱相似性。相反,在较高的喷嘴压力比下(流动存在于受限的冲击分离中),在固定和瞬态条件之间会观察到明显的差异,并且在很大程度上取决于瞬态周期的斜率。因此,似乎无法通过固定流量分析的方式来了解瞬态启动条件下的动力学。

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