Pressure fluctuation experiments of hypersonic boundary-layer on a 7-degree half-angle sharp cone
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摘要: 针对半锥角7°尖锥模型，在常规高超声速风洞中开展了边界层脉动压力测量实验，进行了线性稳定性分析，研究了不同单位雷诺数和马赫数对尖锥边界层转捩位置和边界层稳定性的影响规律。模型长度800 mm，头部半径0.05 mm，实验单位雷诺数0.49×107 m–1～2.45×107 m–1，马赫数5～8，迎角0°。通过红外热图技术和高频脉动压力测量技术获得了模型表面边界层转捩位置和边界层内扰动波能谱分布，利用线性稳定性理论分析了最不稳定波频率和增长率。实验结果表明：在转捩区间可以测量到明显具有不稳定波频谱特征的脉动压力信号，其频率与稳定性理论分析的二模态不稳定波接近，幅值变化趋势也与之类似；随着雷诺数增大，不稳定波出现位置提前，频率增大，转捩位置提前；边界层中不稳定波包含第一和第二模态，马赫数5时转捩由第一模态主导，马赫数高于6时由第二模态主导。Abstract: In a conventional hypersonic wind-tunnel, pressure fluctuations of the boundary layer on a 7-degree half-angle sharp cone are measured by surface sensors and are analyzed by the linear stability theory. The influences of unit Reynolds numbers and Mach number on the stability and transition position of the boundary layer are studied. The length of the test model is 800 mm and the radius of the head is 0.05 mm. Test unit Reynolds numbers range from 0.49×10 7m–1 to 2.45×107 m–1. Test Mach numbers range from 5 to 8. The angle of attack is 0°. The transition position and the energy spectrum distribution of the disturbance wave in the boundary layer are obtained by the quantitative infrared thermography and high frequency surface pressure fluctuation measurement techniques. The frequency and growth rate of the most unstable wave are analyzed by using the linear stability theory. The experimental results show that the fluctuating pressure signal with obvious characteristics of the unstable wave spectrum can be measured in the transition region. The frequency of the pressure fluctuation is close to that of the second mode instability analyzed by the linear stability theory, and the amplitude variation trend is also similar to that of the theoretical analysis. With the increase of the unit Reynolds number, the instability appears earlier, the dominant frequency is increased, and the transition onset moves forward. The unstable wave in the boundary layer contains the first and second modes. When the free-stream Mach number is equal to 5, the transition is caused by the first mode, and when the Mach number is above 6, the transition is attributed to the second mode.
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Key words:
- hypersonic flow /
- wind tunnel experiment /
- boundary layer transition /
- straight cone
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图 3 模型表面温升分布和脉动压力功率谱 （Re∞=1.00×107 m–1）
Figure 3. Surface temperature rise and surface pressure power spectra （Re∞=1.00×107 m–1）
图 6 壁面压力功率谱和线性稳定性分析 （Re∞=0.49×107 m–1）
Figure 6. Surface pressure power spectra and linear stability analysis （Re∞=0.49×107 m–1）
图 7 壁面压力功率谱和线性稳定性分析 （Re∞=0.72×107 m–1）
Figure 7. Surface pressure power spectra and linear stability analysis （Re∞=0.72×107 m–1）
图 8 壁面压力功率谱和线性稳定性分析（Re∞=2.45×107 m–1）
Figure 8. Surface pressure power spectra and linear stability analysis （Re∞=2.45×107 m–1）
图 11 模型表面脉动压力功率谱
Figure 11. Surface temperature rise and surface pressure power spectra
图 12 第一模态（实线）、第二模态（虚线）的N值分布
Figure 12. N-factors of first-mode and second-mode disturbance
表 1 PCB传感器安装位置
Table 1. PCB installation locations
PCB编号 1 2 3 4 5 6 7 8 x/mm 125 205 285 365 445 525 605 685 
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