Theoretical and numerical studies on the scale effects for strong explosion fireball thermal radiation characteristics

LI Kang; LIU Na; LI Shouxian; ZHAO Duo

doi:10.11883/bzycj-2023-0199

Volume 44 Issue 10

Oct. 2024

Turn off MathJax

Article Contents

Article Navigation > Explosion And Shock Waves > 2024 > 44(10): 102101

LI Kang, LIU Na, LI Shouxian, ZHAO Duo. Theoretical and numerical studies on the scale effects for strong explosion fireball thermal radiation characteristics[J]. Explosion And Shock Waves, 2024, 44(10): 102101. doi: 10.11883/bzycj-2023-0199

Citation:

LI Kang, LIU Na, LI Shouxian, ZHAO Duo. Theoretical and numerical studies on the scale effects for strong explosion fireball thermal radiation characteristics[J]. Explosion And Shock Waves, 2024, 44(10): 102101. doi: 10.11883/bzycj-2023-0199

Citation:

PDF( 1235 KB)

Theoretical and numerical studies on the scale effects for strong explosion fireball thermal radiation characteristics

doi: 10.11883/bzycj-2023-0199

LI Kang^{1, 2
,},
LIU Na^{1, 2
,
,},
LI Shouxian²,
ZHAO Duo²

1.
Software Center for High Performance Numerical Simulation, China Academy of Engineering Physics, Beijing 100088, China
2.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received Date: 2023-05-26
Rev Recd Date: 2024-06-17

Available Online: 2024-06-17

Publish Date: 2024-10-30

Abstract

Abstract

As a typical characteristic of fireball phenomena, thermal radiation plays an important role in damage assessments. Up to now, many studies of thermal radiation using theoretical, numerical, and experimental methods have been carried out and empirical formulas in forms of yield or density are constructed to feature the extremal characteristic of fireball thermal radiation. However, due to the combined action of radiation free path (RFP) and fireball characteristic length (FCL), it is difficult to identify these formula’s application scope, and further theoretical studies are needed to take the scale effect (SE) into account. By radiation heat conduction approximation model under optical thickness assumption, scale effect similarity parameter (SESP) was theoretically derived and its scope of application is further verified by high-precision numerical method. The numerical code is developed within a framework of Euler method, and adaptive mesh refinement method is employed to improve the precision in the radiation front. The results of theoretical analysis show that SESP is consistent with existed conclusions regarding the thermal radiation of fireball at different altitudes, and it can be applied to the analysis of laboratory scale fireball. Meanwhile, numerical results also show that both scale effects at different altitudes and laboratory scale can be characterized by SESP.
- strong explosion fireball,
- radiation hydrodynamics,
- thermal radiation,
- scale effect,
- laboratory scale

FullText(HTML)

References(24)

References

[1]	张守中. 爆炸与冲击动力学 [M]. 北京: 兵器工业出版社, 1993.
[2]	DRAKE R P. 高能量密度物理——基础、惯性约束聚变和实验天体物理学 [M]. 孙承纬, 译. 北京: 国防工业出版社, 2013. DRAKE R P. High-energy-density physics: fundamentals, inertial fusion, and experimental astrophysics [M]. Translated by SUN C W. Beijing: National Defense Industry Press, 2013.
[3]	乔登江. 核爆炸物理概论 [M]. 北京: 国防工业出版社, 2003.
[4]	ZHANG J, PEI W B. Similarity transformations of radiation hydrodynamic equations and investigation on laws of radiative conduction [J]. Physics of Fluids B: Plasma Physics, 1992, 4(4): 872–876. DOI: 10.1063/1.860241.
[5]	FOURNIER K B, BROWN JR C G, MAY M J, et al. A geophysical shock and air blast simulator at the National Ignition Facility [J]. Review of Scientific Instruments, 2014, 85(9): 095119. DOI: 10.1063/1.4896119.
[6]	BOUQUET S, FALIZE E, MICHAUT C, et al. From lasers to the universe: scaling laws in laboratory astrophysics [J]. High Energy Density Physics, 2010, 6(4): 368–380. DOI: 10.1016/j.hedp.2010.03.001.
[7]	KOENIG M, VINCI T, BENUZZI-MOUNAIX A, et al. Radiative shocks: an opportunity to study laboratory astrophysics [J]. Physics of Plasmas, 2006, 13(5): 056504. DOI: 10.1063/1.2177637.
[8]	VINCI T, KOENIG M, BENUZZI-MOUNAIX A, et al. Temperature and electron density measurements on laser driven radiative shocks [J]. Physics of Plasmas, 2006, 13(1): 010702. DOI: 10.1063/1.2162804.
[9]	赵多, 李守先, 安建祝, 等. 氙气中辐射激波的发光特性 [J]. 物理学报, 2021, 70(7): 075201. DOI: 10.7498/aps.70.20200944. ZHAO D, LI S X, AN J Z, et al. Radiation properties of radiative shock in xenon [J]. Acta Physica Sinica, 2021, 70(7): 075201. DOI: 10.7498/aps.70.20200944.
[10]	孙景文. 高空核爆炸和美苏高空核试验的述评 [J]. 中国核科技报告, 1999(1): 966–985. SUN J W. A brief introduction to high altitude nuclear explosion and a review on high altitude nuclear tests of USA and former USSR [J]. China Nuclear Science and Technology Report, 1999(1): 966–985.
[11]	BRODE H L. Fireball phenomenology: P-3026 [R]. The RAND Corporation, 1964.
[12]	BRODE H L. Review of nuclear weapons effects [J]. Annual Review of Nuclear and Particle Science, 1968, 18: 153–202. DOI: 10.1146/annurev.ns.18.120168.001101.
[13]	SVETTSOV V V. Explosions in the lower and middle atmosphere: the spherically symmetrical stage [J]. Combustion, Explosion and Shock Waves, 1994, 30(5): 696–707. DOI: 10.1007/BF00755841.
[14]	田宙, 乔登江, 郭永辉. 不同高度强爆炸早期火球数值研究 [J]. 兵工学报, 2009, 30(8): 1078–1083. DOI: 10.3321/j.issn:1000-1093.2009.08.014. TIAN Z, QIAO D J, GUO Y H. Numerical investigation of early fireball of strong explosion for different altitudes [J]. Acta Armamentarii, 2009, 30(8): 1078–1083. DOI: 10.3321/j.issn:1000-1093.2009.08.014.
[15]	田宙, 郭永辉, 乔登江. 高空强爆炸早期火球参量分布的数值研究 [J]. 空气动力学学报, 2010, 28(3): 336–340. DOI: 10.3969/j.issn.0258-1825.2010.03.018. TIAN Z, GUO Y H, QIAO D J. Numerical investigation of early fireball parameters distribution of high-altitude strong explosion [J]. Acta Aerodynamica Sinica, 2010, 28(3): 336–340. DOI: 10.3969/j.issn.0258-1825.2010.03.018.
[16]	ZINN J. A finite difference scheme for time-dependent spherical radiation hydrodynamics problems [J]. Journal of Computational Physics, 1973, 13(4): 569–590. DOI: 10.1016/0021-9991(73)90034-X.
[17]	JOHNSEN E, COLONIUS T. Implementation of WENO schemes in compressible multicomponent flow problems [J]. Journal of Computational Physics, 2006, 219(2): 715–732. DOI: 10.1016/j.jcp.2006.04.018.
[18]	李康, 李守先, 刘娜. 强爆炸火球辐射流体自适应网格高精度数值模拟 [J]. 计算物理, 2021, 38(2): 146–152. DOI: 10.19596/j.cnki.1001-246x.8230. LI K, LI S X, LIU N. High-precision numerical simulation of strong explosion fireball with adaptive mesh [J]. Chinese Journal of Computational Physics, 2021, 38(2): 146–152. DOI: 10.19596/j.cnki.1001-246x.8230.
[19]	BRODE H L, ASANO W, PLEMMONS H M, et al. A program for calculating radiation flow and hydrodynamic motion: RM-5187-PR [R]. The RAND Corporation, 1967.
[20]	SYMBALISTY E M D, ZINN J, WHITAKER R W. RADFLO physics and algorithms [R]. Los Alamos: Los Alamos National Laboratory, 1995.
[21]	ZINN J, SUTHERLAND C D. Special numerics for a nuclear-fireball model [R]. Los Alamos: Los Alamos National Laboratory, 1982.
[22]	FALIZE É, MICHAUT C, BOUQUET S. Similarity properties and scaling laws of radiation hydrodynamic flows in laboratory astrophysics [J]. The Astrophysical Journal, 2011, 730(2): 96. DOI: 10.1088/0004-637X/730/2/96.
[23]	乔登江. 核爆炸火球物理 [J]. 物理学进展, 1983, 3(2): 236–267. DOI: 10.3321/j.issn:1000-0542.1983.02.004. QIAO D J. The physics of fireballs [J]. Progress in Physics, 1983, 3(2): 236–267. DOI: 10.3321/j.issn:1000-0542.1983.02.004.
[24]	王坚, 李路翔. 核武器效应及防护 [M]. 北京: 北京理工大学出版社, 1993.