航空学报 > 2023, Vol. 44 Issue (15): 528673-528673   doi: 10.7527/S1000-6893.2023.28673

流体力学与飞行器总体设计

钝锥体辐射平衡温度不确定度量化分析

张振康, 徐万武(), 李智严, 叶伟   

  1. 国防科技大学 空天科学学院,长沙  410073
  • 收稿日期:2023-03-09 修回日期:2023-04-11 接受日期:2023-05-04 出版日期:2023-05-15 发布日期:2023-05-12
  • 通讯作者: 徐万武 E-mail:cfdxww@nudt.edu.cn

Uncertainty quantification analysis of blunt cone radiation equilibrium temperature

Zhenkang ZHANG, Wanwu XU(), Zhiyan LI, Wei YE   

  1. College of Aerospace Science and Engineering,National University of Defense Technology,Changsha  410073,China
  • Received:2023-03-09 Revised:2023-04-11 Accepted:2023-05-04 Online:2023-05-15 Published:2023-05-12
  • Contact: Wanwu XU E-mail:cfdxww@nudt.edu.cn

摘要:

在燃烧加热式高超声速风洞中进行长程热考核试验时,需量化试验条件的随机波动所引起的试验模型辐射平衡温度分布的不确定度,并甄别出关键影响因素以供工程应用参考。为此通过数值仿真试验筛选出试验气流总温、表面发射率和模型位置作为影响钝锥辐射平衡温度分布的输入变量,运用非嵌入式混沌多项式(NIPC)方法建立了输入变量与钝锥辐射平衡温度分布之间的随机多项式代理模型。在此基础上,对输入变量的随机变化造成的辐射平衡温度的不确定性进行量化与敏感性分析。结果表明:钝锥肩部处,辐射平衡温度的不确定度最大,为10.32%,锥段大面积区,不确定度在6.5%~7%。敏感性分析表明,气流总温显著影响钝锥驻点区域辐射平衡温度的不确定性,模型位置的影响整体较小。

关键词: 高超声速风洞, 气动热, 辐射平衡温度, 不确定度量化, 敏感性分析

Abstract:

For long-range thermal tests in a combustion-heated hypersonic wind tunnel, it is necessary to quantify the uncertainty of the radiation equilibrium temperature distribution of the test model caused by the random fluctuation of the test conditions and identify the critical factors for engineering application. This study selects the total temperature of the experimental air flow, model emissivity, and model position as the input variables affecting the radiation equilibrium temperature distribution of the model by numerical simulation. The stochastic expansion between input parameters and radiation equilibrium temperature is established by the point-collocation Non-Intrusive Polynomial Chaos (NIPC) method. Uncertainties of radiation equilibrium temperature caused by random variation of the input variables are quantified. The results indicate that the radiation equilibrium temperature uncertainty of the blunt cone is the largest at the shoulder, which is 10.33%, and the uncertainty of the large area of the cone is 6.5%-7%. The sensitivity analysis reveals that the total temperature could significantly influence the uncertainty of the radiation equilibrium temperature in the stagnation area, while the model position has little influence on the uncertainty of the radiation equilibrium temperature distribution.

Key words: hypersonic wind tunnel, aerodynamic heating, radiation equilibrium temperature, uncertainty quantification, sensitivity analysis

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