基于快速逐线计算模型的高超声速羽流红外辐射计算方法

doi:10.7527/S1000-6893.2024.30778

Abstract

Abstract:

To investigate the infrared radiation characteristics of plumes of hypersonic vehicles in near space， a computational methodology for the flow field of the near space plume infrared radiation was developed. Initially， the numerical simulation of the plume flow field is carried out by using the nonlinear coupling constitutive relationship model， and the accuracy of the flow field calculation model is verified. Subsequently， a comprehensive dataset consisting of 46 200 sets of flow field characteristic parameters and absorption coefficients was generated using a line-by-line calculation physical model， informed by a full-factorial experimental design. This dataset was employed to train an accelerated line-by-line calculation model based on a BP neural network. The trained model demonstrated a maximum mean absolute error of 0.003 65 and an R² value of 0.999 4， achieving computational speeds four times faster than the traditional line-by-line calculation physical model. Finally， combined with the Backward Monte Carlo method as the infrared radiation transmission method， the infrared radiation calculation method of the hypersonic vehicles plume flow field is established. The infrared radiation characteristics of the plume under the cruising state of X-51A aircraft were studied by using the established flow field and infrared radiation calculation methods. The findings indicate that hypersonic plumes in near space exhibit a phenomenon where external heat flow envelops a cooler internal flow. Furthermore， the infrared radiation is stronger in the stagnation region at the plume’s periphery， resulting in a “scissors” pattern in infrared imaging. Variations in the shear layer significantly influence the infrared imaging characteristics of the plume.

Key words: hypersonic plume, nonlinear coupled constitutive relations, line by line method, deep learning, backward Monte Carlo method, infrared radiation

CLC Number:

V231

Jianyu XU, Li ZHOU, Zhanxue WANG, Jie SHI, Hao SHI. Calculation method for hypersonic plume infrared radiation based on a fast line-by-line calculation model[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(8): 630778.

Figures/Tables 24

Fig.1

Table 1

Fig.2

Fig.3

Fig.4

Fig.5

Table 2

Fig.6

Table 3

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Fig.13

Fig.14

Table 4

Chemical reaction kinetics of plumes

化学反应	正向反应速率	反向反应速率
$O + O + M → O 2 + M$	3.0×10^-34exp（900/T）	4.23×10^-9exp（-58 950/T）
$O + H + M → O H + M$	1.0×10^-29T^-1	1.14×10^-5T^-1exp（-51 610/T）
$H + O H + M → H 2 O + M$	1.0×10^-25T^-2	1.12T^-2exp（-60 180/T）
$H + O 2 → O H + O$	2.4×10^-10exp（-8 250/T）	1.94×10^-11T^-1exp（-280/T）
$O H + O H → H 2 O + O$	1.0×10^-11exp（-550/T）	9.80×10^-11exp（-9 120/T）
$C O + O + M → C O 2 + M$	7.0×10^-33exp（-2 200/T）	8.24×10^-7T^1.3exp（-64 670/T）
$C O + O H → C O 2 + H$	2.8×10^-17exp（330/T）	2.92×10^-15T^1.3exp（-10 550/T）

Table 4

Fig.15

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Fig.20

References 39

1	SIMMONS F. Rocket exhaust plume phenomenology［M］. Reston： AIAA， 2000.
2	DRAPER J S， HILL J A F. Analytical approximation for the flow from a nozzle into a vacuum［J］. Journal of Spacecraft and Rockets， 1966， 3（10）： 1552-1554.
3	SIMONS G A. Effect of nozzle boundary layers on rocket exhaust plumes［J］. AIAA Journal， 197， 10（11）： 1534-1535.
4	HOFFMAN R， KAWASAKI A， TRINKS H， et al. The CONTAM. 2 plume flowfield analysis and contamination predictioncomputer program-Analysis model and experimental verification［C］‍∥20th Thermophysics Conference. Reston： AIAA， 1985.
5	GUERNSEY C S. Effects of translational nonequilibrium on vacuum plume expansions［J］. AIAA Journal， 1982， 20（7）： 885-888.
6	DOO Y， NELSON D. Analysis of small bipropellant engine internal flows by the direct simulation Monte Carlo method［C］‍∥22nd Thermophysics Conference.Reston： AIAA， 1987.
7	KANNENBERG K， BOYD I. Three dimensional Monte Carlo simulations of plume impingement［C］‍∥7th AIAA/ASME Joint Thermophysics and Heat Transfer Conference. Reston： AIAA， 1998.
8	DEVIR A， LESSIN A， COHEN Y， et al. Comparison of calculated and measured radiation from a rocket motor plume［C］‍∥39th Aerospace Sciences Meeting and Exhibit. Reston： AIAA， 2001.
9	GIMELSHEIN S， BOYD I， IVANOV M. Modeling of internal energy transfer of polyatomic molecules in rarefied plume flows［C］‍∥37th Aerospace Sciences Meeting and Exhibit. Reston： AIAA， 1999.
10	GEORGE J D. A combined CFD-DSMC method for numerical simulation of nozzle plume flows‍［D］. Ithaca： Cornell University， 2000.
11	徐南荣. 喷气流红外辐射场的数值计算［J］. 航空学报， 1995， 16（6）： 647-65.
	XU N R. Numerical computation on infrared plume radiation［J］. Acta Aeronautica et Astronautica Sinica， 1995， 16（6）： 647-653 （in Chinese）.
12	詹光，李椿萱. 发动机燃气喷流红外辐射场的数值模拟［J］. 北京航空航天大学学报， 2005， 31（8）： 829-833.
	ZHAN G， LEE C X. Numerical computations of infrared signatures in exhaust flow fields of jet engines［J］. Journal of Beijing University of Aeronautics and Astronautics， 2005， 31（8）： 829-833 （in Chinese）.
13	聂万胜，杨军辉，何浩波，等. 液体火箭发动机尾喷焰红外辐射特性［J］. 国防科技大学学报， 2005， 27（5）： 91-94.
	NIE W S， YANG J H， HE H B， et al. The IR radiation characteristic of exhaust plume of the liquid rocket engine［J］. Journal of National University of Defense Technology， 2005， 27（5）： 91-94. （in Chinese）.
14	丰松江，聂万胜，解庆纷，等. 燃烧室内燃烧模型对尾焰流场及其辐射的影响［J］. 火箭推进， 2006， 32（2）： 6-10.
	FENG S J， NIE W S， XIE Q F， et al. Influence of combustion model in chamber on exhaust plume flow field and radiance［J］. Journal of Rocket Propulsion， 2006， 32（2）： 6-10 （in Chinese）.
15	董士奎，于建国，李东辉，等. 贴体坐标系下离散坐标法计算尾喷焰辐射特性［J］. 上海理工大学学报， 200， 25（2）： 159-16.
	DONG S K， YU J G， LI D H， et al. Numerical modeling of infrared radiation properties of exhaust plume by the Discrete Ordinates Method in body-fitted coordinates［J］. Journal of University of Shanghai for Science and Technology， 200， 25（2）： 159-162 （in Chinese）.
16	张小英，朱定强，蔡国飙. 固体火箭羽流红外特性的DOM法模拟及高度影响研究［J］. 宇航学报， 2007， 28（3）： 702-706.
	ZHANG X Y， ZHU D Q， CAI G B. Study the infrared characteristics of the solid rocket plume with DOM method and the influence of altitude［J］. Journal of Astronautics， 2007， 28（3）： 702-706 （in Chinese）.
17	帅永，董士奎，谈和平. 数值模拟喷焰2.7微米红外辐射特性［J］. 航空学报， 2005， 26（4）： 402-405.
	SHUAI Y， DONG S K， TAN H P. Numerical simulation for infrared radiation characteristics of exhaust plume at 2.7 μm‍［J］. Acta Aeronautica et Astronautica Sinica， 2005， 26（4）： 402-405 （in Chinese）.
18	包醒东，余西龙，吴杰，等. 稀薄环境下高空羽流流动与超窄谱红外辐射特性数值研究［J］. 红外与激光工程， 2020， 49（）： 117-127.
	BAO X D， YU X L， WU J， et al. Numerical study of flow and ultra narrow spectrum infrared radiation characteristics of high-altitude plume under thin atmosphere［J］. Infrared and Laser Engineering， 2020， 49（Sup 1）： 117-127 （in Chinese）.
19	DU X B， YANG Q Z， YANG H Q， et al. Infrared radiation characteristics of dagger-type hypersonic missile［J］. Chinese Journal of Aeronautics， 2024， 37（4）： 137-150.
20	肖洪，商雨禾，吴迪，等. 稀薄气体动力学的非线性耦合本构方程理论及验证［J］. 航空学报， 2015， 36（7）： 2091-2104.
	XIAO H， SHANG Y H， WU D， et al. Nonlinear coupled constitutive relations and its validation for rarefied gas flows［J］. Acta Aeronautica et Astronautica Sinica， 2015， 36（7）： 2091-2104 （in Chinese）.
21	EU B C， MAO K F. Kinetic theory approach to irreversible thermodynamics of radiation and matter［J］. Physica A： Statistical Mechanics and Its Applications， 199， 180（1-2）： 65-114.
22	BASSI F， REBAY S. A high-order accurate discontinuous finite element method for the numerical solution of the compressible navier-stokes equations［J］. Journal of Computational Physics， 1997， 131（2）： 267-279.
23	MYONG R S. A full analytical solution for the force-driven compressible Poiseuille gas flow based on a nonlinear coupled constitutive relation［J］. 2011， 23（1）： 01200.
24	GNOFFO P A， GUPTA R N， SHINN J L. Con-servation equations and physical models for hyper-sonic air flows in thermal and chemical nonequilibrium‍［R］. Washington， D.C.： NASA， 1989.
25	MILLIKAN R C， WHITE D R. Systematics of vibrational relaxation‍［J］. The Journal of Chemical Physics， 196， 39（12）： 3209-321.
26	PARK C. Assessment of a two-temperature kinetic model for dissociating and weakly ionizing nitrogen［J］. Journal of Thermophysics and Heat Transfer， 1988， 2（18）： 8-16.
27	MUYLAERT J， WALPOT L， HAEUSER J， et al. Standard model testing in the European High Enthalpy Facility F4 andextrapolation to flight［C］‍∥28th Joint Propulsion Conference and Exhibit. Reston： AIAA， 1992.
28	PARK C. On convergence of computation of chemically reacting flows‍［C］‍∥23rd Aerospace Sciences Meeting. Reston： AIAA， 1985.
29	张赛文. 基于N-S/DSMC耦合算法的喷管跨流域流动模拟［D］. 哈尔滨：哈尔滨工程大学， 2018.
	ZHANG S W. Simulation of nozzle cross-basin flow based on N-S/DSMC coupling algorithm［D］. Harbin： Harbin Engineering University， 2018 （in Chinese）.
30	ROTHMAN L S， GORDON I E， BARBER R J， et al. HITEMP， the high-temperature molecular spectroscopic database［J］. Journal of Quantitative Spectroscopy and Radiative Transfer， 2010， 111（15）： 2139-2150.
31	GORDON I E， ROTHMAN L S， HARGREAVES R J， et al. The HITRAN2020 molecular spectroscopic database［J］. Journal of Quantitative Spectroscopy and Radiative Transfer， 20， 277： 107949.
32	MODEST M F， BHARADWAJ S P. Medium resolution transmission measurements of CO₂ at high temperature［J］. Journal of Quantitative Spectroscopy and Radiative Transfer， 200， 73（2-5）： 329-338.
33	YOUNG S J. Evaluation of nonisothermal band models for H₂O［J］. Journal of Quantitative Spectroscopy and Radiative Transfer， 1977， 18（1）： 29-45.
34	MODEST M F. Inverse radiative heat transfer［M］‍∥Radiative Heat Transfer. Amsterdam： Elsevier， 2013： 779-80.
35	BEIER K， LINDERMEIR E. Comparison of line-by-line and molecular band IR modeling of high altitude missile plume［J］. Journal of Quantitative Spectroscopy and Radiative Transfer， 2007， 105（1）： 111-127.
36	CHEN Y T， ZHENG H R， REN X， et al. Backward Monte Carlo method for simulating spectral radiation characteristics of boost-gliding vehicle［J］. Aerospace Science and Technology， 2023， 132： 108087.
37	AVITAL G， COHEN Y， GAMSS L， et al. Experimental and computational study of infrared emission from underexpanded rocket exhaust plumes［J］. Journal of Thermophysics and Heat Transfer， 2001， 15（4）： 377-38.
38	刘雪松. X-51A高超声速飞行器三维重建及气动/隐身特性分析［D］. 南京：南京航空航天大学， 2015.
	LIU X S. 3D reconstruction and aerodynamic/stealth characteristics analysis of X-51A hypersonic vehicle［D］. Nanjing： Nanjing University of Aeronautics and Astronautics， 2015 （in Chinese）.
39	牛青林. 连续流域高速目标辐射现象学研究［D］. 哈尔滨：哈尔滨工业大学， 2019.
	NIU Q L. Phenomenological study on radiation of high-speed targets in continuous basins［D］. Harbin： Harbin Institute of Technology， 2019 （in Chinese）.

来流条件	数值
高度/km	53
来流速度/（m·s^-1）	4 230
远场温度/K	265
远场压力/Pa	53
来流组分	78%N₂+22%O₂

评价标准	数值
MAE	0.00 079
MSE	0.000 001 4
NMSE	0.000 2
R²	0.999 4

计算方法	计算样本数	计算时间/s
逐线计算法	10 000	3 548
LBL神经网络模型	10 000	0.067

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Calculation method for hypersonic plume infrared radiation based on a fast line-by-line calculation model

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