论文标题

高超音速圆柱体的线性和非线性干扰进化

Linear and Nonlinear Disturbance Evolution on the Frustum of Hypersonic Ogive-Cylinders

论文作者

Goparaju, Hemanth, Kanawade, Kunal, Unnikrishnan, S, Gaitonde, Datta V

论文摘要

$ 14^{\ circ} $尖锐的Ogive缸在马赫〜$ 6 $上的过渡机制的各个方面通过考虑在Ogive缸交界处下游不同位置强迫的线性和非线性干扰进化来阐明。随机强迫的频谱响应显示出有利的一致性,其构型基于的AFRL的实验观察结果。间歇性波包是由小振幅连续的自由式压力强迫产生的。线性波数据包的演化表明,MACK模式是主要的主要不稳定性,其次是相对较弱的第一模式波。非线性波袋显示了三足的壁压力扰动特征,可追溯到跨度曲率效应,而基本共振是主要的二级不稳定性机制。在较高的激发幅度下,确定了亚谐波和斜共振现象的弱特征。小幅振幅干扰的下游放置会降低第一模式波的接受度;但是,随着高振幅强迫,致动的位置不会显着改变干扰进化特征或二次不稳定性机制。

Aspects of transition mechanisms on a $14^{\circ}$ sharp-nosed ogive-cylinder at Mach~$6$ are elucidated by considering linear and nonlinear disturbance evolution of freestream stochastic and wave packet forcing at different locations downstream of the ogive-cylinder junction. The spectral response of the stochastic forcing displays favorable agreement with experimental observations from AFRL on which the configuration is based. Intermittent wave packets are generated from small-amplitude continuous freestream pressure forcing. Linear wave packet evolution reveals that Mack modes are the dominant primary instabilities, followed by relatively weaker first-mode waves. The non-linear wavepacket displays a three-legged wall pressure perturbation signature, which is traced to spanwise curvature effects, and fundamental resonance is the dominant secondary instability mechanism. At higher amplitudes of excitation, weak signatures of sub-harmonic and oblique resonance phenomena are identified. Downstream placement of the small-amplitude disturbance diminishes receptivity of first-mode waves; however, with high-amplitude forcing, the location of actuation does not significantly vary the disturbance evolution signature or the secondary instability mechanisms.

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