钝锥体辐射平衡温度不确定度量化分析

doi:10.7527/S1000-6893.2023.28673

Abstract

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

CLC Number:

V211

Zhenkang ZHANG, Wanwu XU, Zhiyan LI, Wei YE. Uncertainty quantification analysis of blunt cone radiation equilibrium temperature[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528673-528673.

Figures/Tables 19

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参数	数值
气流总温/K	1 712
气流总压/MPa	5.72
湍流强度/%	5
气流组分质量分数	8%H₂O，13%CO₂，23%O₂，56%N₂

参数	网格1	网格2	网格3
S₁	2.92×10^-6	1.95×10^-6	1.37×10^-6
S₂	2.92×10^-6	1.95×10^-6	1.37×10^-6
S₃	5.78×10^-10	1.57×10^-10	7.23×10^-11
S_err	5.83×10^-5	3.91×10^-6	2.74×10^-6
S_max	0.01	0.01	0.01
n_ac	100 000	100 000	100 000
n_max	2.94×10⁶	6.55×10⁶	1.32×10⁷
R_s	29.41	65.33	132.85

参数	基准值	变化下限	变化上限
气流总温/K	1 712	1 512	1 712
模型发射率	0.7	0.6	0.8
模型位置/mm	0	-377.8	377.8

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Uncertainty quantification analysis of blunt cone radiation equilibrium temperature

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