Uncertainty quantification analysis of afterburning reaction rates on infrared radiation signatures of rocket exhaust plume

Jie MA; Xiaobing WANG; Qinglin NIU; Shikui DONG

doi:10.3788/IRLA20240301

Journals >Infrared and Laser Engineering >Volume 53 >Issue 10 >Page 20240301 > Article

Infrared and Laser Engineering
Vol. 53, Issue 10, 20240301 (2024)

Uncertainty quantification analysis of afterburning reaction rates on infrared radiation signatures of rocket exhaust plume

Jie MA¹, Xiaobing WANG², Qinglin NIU¹, and Shikui DONG³

Author Affiliations

¹School of Mechanical and Electrical Engineering, North University of China, Taiyuan 030051, China

²National Key Laboratory of Scattering and Radiation, Shanghai 200438, China

³Key Laboratory of Aerospace Thermophysics of MIIT, Harbin Institute of Technology, Harbin 150001, China

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DOI: 10.3788/IRLA20240301 Cite this Article

Jie MA, Xiaobing WANG, Qinglin NIU, Shikui DONG. Uncertainty quantification analysis of afterburning reaction rates on infrared radiation signatures of rocket exhaust plume[J]. Infrared and Laser Engineering, 2024, 53(10): 20240301 Copy Citation Text

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Fig. 1. Comparison of the spectral intensity between calculated and measured data

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Fig. 2. STD of spectral radiation intensity under different orders of PCE method

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Fig. 3. Computational domain and grid

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$Temperatures and mole fraction of CO2 and H2O on the centerline for different grid numbers$

Fig. 4. Temperatures and mole fraction of CO₂and H₂O on the centerline for different grid numbers

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Fig. 5. Comparison of baseline values, STD and UQ distributions of flow field. (a) Temperature; (b) CO₂; (c) H₂O

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$Comparison of baseline values and mean on the centerline. (a) Temperature; (b) Mole fraction of H2O and CO2$

Fig. 6. Comparison of baseline values and mean on the centerline. (a) Temperature; (b) Mole fraction of H₂O and CO₂

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Fig. 7. Baseline values, STD and UQ for infrared radiance images. (a) (2.7±0.3) μm; (b) (4.3±0.3) μm; (c) 3-5 μm

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Fig. 8. Comparison of mean and UQ for spectral radiant intensity

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Fig. 9. Sobol index of chemical reaction

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Fig. 10. Reaction rate measured data and proposed reaction rate profiles. (a) H+O₂↔OH+O ; (b) H₂+O↔OH+H; (c) H+OH+M↔H₂O+M

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No.	Reaction	$k = A{T^n}\exp ( - E/RT)$	Uncertainty
注：om代表数量级（Orders of magnitude）
R₁	H+O₂↔OH+O	1.45×10¹¹exp(4241/T)	±1 om
R₂	H₂+O↔OH+H	1.81×10⁷exp(2299/T)	±1 om
R₃	OH+OH↔O+H₂O	6.02×10⁹T^1.14exp(282/T)	±1 om
R₄	OH+H₂↔H₂O+H	11.14×10⁶T^1.3exp(939/T)	±1 om
R₅	O+H+M↔OH+M	3.62×10¹²exp(321/T)	±1 om
R₆	O+O+M↔O₂+M	1.09×10⁸exp(−463/T)	±1 om
R₇	H+H+M↔H₂+M	3.63×10¹²T²	±1 om
R₈	H₂O+M↔H+OH+M	1.6×10¹⁴exp(58765/T)	±1 om
R₉	CO+OH↔CO₂+H	1.69×10⁴T^1.3exp(−169/T)	±1 om
R₁₀	CO+O+M↔CO₂+M	2.54×10⁹exp(1131/T)	±1 om
R₁₁	CO+O₂↔CO₂+O	2.55×10⁹exp(282/T)	±1 om
R₁₂	Cl+H₂↔HCl+H	8.43×10⁶exp(2192/T)	±1 om
R₁₃	Cl+H₂O↔HCl+OH	3.01×10⁷exp(−9059/T)	±1 om
R₁₄	HCl+O↔Cl+OH	3.61×10⁶exp(3088/T)	±1 om
R₁₅	H+Cl₂↔HCl+Cl	9.03×10⁷exp(3088/T)	±1 om
R₁₆	Cl+Cl+M↔Cl₂+M	362 exp(−92/T)	±1 om
R₁₇	H+Cl+M↔HCl+M	1.45×10¹¹T⁻²	±1 om

Table 1. Rates of afterburning chemical reactions

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Inlet	T/K	P/kPa	U/m·s⁻¹	Y_CO	${\mathrm{Y}}_{{\mathrm{CO}}_2} $	${\mathrm{Y}}_{{\mathrm{H}}_2} $	$ \mathrm{Y}\mathrm{_{\mathrm{H}_2O}} $	Y_HCl	Y_OH	${\mathrm{Y}}_{{\mathrm{N}}_2} $	${\mathrm{Y}}_{{\mathrm{O}}_2} $
Rocket	1963	288	2125	0.111	0.136	0.055	0.404	0.194	0	0.1	0
Air	288	101	15	0	0	0	0	0	0	0.789	0.211

Table 2. Flow field parameters and mole fraction of species on the exit plane

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Band	Mean/W·sr⁻¹	STD/W·sr⁻¹	UQ
（2.7±0.3） μm	30.25126	3.15686	20.4%
（4.3±0.3） μm	101.4205	6.55604	12.6%
3-5 μm	172.4094	13.7203	15.5%

Table 3. Statistical properties of in-band radiance

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Reaction	$k = A{T^n}\exp ( - E/RT)$
H+O₂↔OH+O	1.2×10¹⁴T^-0.91exp(−8335/T)
H₂+O↔OH+H	0.508×10²T^2.67exp(−3136/T)
H+OH+M↔H₂O+M	2.21×10¹⁶T⁻²exp(213/T)

Table 4. Proposed reaction kinetics rates

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