Experimental study and statistical analysis of flow field pulsation of spiked cylinder
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摘要: 针对超声速来流条件下支杆–钝体流场的非定常振荡现象，基于直连式风洞试验台与高速纹影测量系统，在Ma = 2.2来流条件下对尖头支杆–钝体构型与气动圆顶支杆–钝体构型开展了试验研究，并对试验结果进行了统计分析。首先根据瞬态结果对流场典型结构与演化历程进行了解释，随后通过残差收敛历程对统计结果的可靠性做出了评估，最后从时均流场和脉动流场两个方面进一步分析了流场的振荡特性。结果表明，超声速来流条件下的支杆–钝体流场存在着非定常的流场振荡现象，且在尖头支杆–钝体构型中更加剧烈，在气动圆顶支杆–钝体构型中有所衰减，证明了气动圆顶支杆对流场的非定常振荡具有抑制作用。Abstract: The cylinder with a pointed spike and the spiked cylinder with aerodome were investigated under the condition of Ma = 2.2 incoming flow using a direct-connected wind tunnel and a high-speed schlieren system. The experimental results were statistically analyzed to investigate the unsteady flow field pulsation of the spiked cylinder under supersonic incoming flow. Based on the transient data, the typical structure and evolution of the flow field were first interpreted. The convergence of the residuals was then used to assess the dependability of the statistical results. Finally, the pulsation characteristics of the flow field were further analyzed in terms of the time-averaged and pulsating flow fields. The results show that there is unsteady pulsation in the spiked cylinder flow field under the condition of the supersonic incoming flow, which is more intense in the case of the cylinder with a pointed spike and attenuated in the case of the spiked cylinder with aerodome, demonstrating the suppression of unsteady pulsation in the flow field by the aerodome.
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Key words:
- supersonic /
- spiked cylinder /
- flow pulsation /
- high-speed schlieren /
- wind tunnel experiment
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图 1 直连式风洞及“Z”字形纹影光路示意图
Figure 1. Direct-connected wind tunnel and Z-type schlieren light path
图 5 支杆–钝体构型的典型流场结构图。其中：1. 前体激波，在（a）尖头支杆–钝体构型中表现为弱锥形激波，在（b）气动圆顶支杆–钝体构型中表现为弓形脱体激波；2. 再附激波
Figure 5. Typical flow field structure of spiked cylinder configurations. 1. Forebody shock, which exhibits weak conical shock in the pointed spiked cylinder and bow shock in the spiked cylinder with aerodome; 2. Reattachment shock
图 6 支杆-钝体构型在同一时间间隔内的流场振荡历程图。其中：1. 前体激波，在尖头支杆–钝体构型中表现为弱锥形激波，在气动圆顶支杆–钝体构型中表现为弓形脱体激波；2. 再附激波；3. 剪切层；4. 回流区
Figure 6. Flow field pulsating evolution in the same time interval for spiked cylinder configurations. 1. Forebody shock, which exhibits weak conical shock in the pointed spiked cylinder and bow shock in the spiked cylinder with aerodome; 2. Reattachment shock; 3. Shear layer; 4. Recirculation region
图 8 支杆–钝体构型的时均流场云图。其中：1. 前体激波振荡区域；2. 再附激波振荡区域；3. 复杂小尺度结构；4. 剪切层；5. 回流区
Figure 8. Time-averaged flow field contours for spiked cylinder configurations. 1. Pulsating region of forebody shock; 2. Pulsating region of reattachment shock; 3. Shocklets; 4. Shear layer; 5. Recirculation region
图 9 支杆–钝体构型的流场脉动特性。其中：1. 前体激波振荡区域；2. 再附激波振荡区域；3. 复杂小尺度结构振荡区域；4. 剪切层；5. 回流区
Figure 9. Flow field fluctuating characteristics of spiked cylinder configurations. 1. Pulsating region of forebody shock; 2. Pulsating region of reattachment shock; 3. Shocklets; 4. Shear layer; 5. Recirculation region
表 1 试验条件
Table 1. Experimental conditions
马赫数Ma 总温Tt,e/K 总压Pt,e/kPa 背压Pb/kPa 雷诺数Re 2.2 305 101 8.5 2.6 × 105 
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表 2 试验模型几何参数
Table 2. Geometric parameters of experimental models
参数类型 符号 数值/mm 圆柱钝体直径 D 40 圆柱钝体轴向长度 L 40 支杆长度 l 40 支杆根部直径 d 2.6 气动圆顶直径 DA 14.4
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