强爆炸火球热辐射尺度效应理论和数值研究

李康 刘娜 李守先 赵多

李康, 刘娜, 李守先, 赵多. 强爆炸火球热辐射尺度效应理论和数值研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0199
引用本文: 李康, 刘娜, 李守先, 赵多. 强爆炸火球热辐射尺度效应理论和数值研究[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0199
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. 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. doi: 10.11883/bzycj-2023-0199

强爆炸火球热辐射尺度效应理论和数值研究

doi: 10.11883/bzycj-2023-0199
基金项目: 国家自然科学基金(12002060, 11971070)
详细信息
    作者简介:

    李康(1988- ),男,博士,副研究员,kanglimech@163.com

    通讯作者:

    刘娜(1986- ),女,博士,副研究员,liu_na@iapcm.ac.cn

  • 中图分类号: O383

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

  • 摘要: 针对火球热辐射双脉冲极值特征问题,基于辐射流体热传导近似模型,理论推导了表征尺度效应的相似参数来界定热辐射极值特征的适用域。选取火球特征尺度和辐射自由程特征尺度差异较大的2类典型问题来验证尺度效应相似参数的有效性,并采用高精度Euler辐射流体计算程序来数值模拟火球热辐射对尺度效应相似参数的依赖性。理论和数值结果表明:尺度效应相似参数能较好描述不同条件下的火球热辐射演化规律,并可扩展到实验分析中;仅依靠爆炸高度来表征火球演化中的尺度效应存在一定局限性。
  • 图  1  爆炸当量为1 kt、爆炸高度为海平面高度时爆炸火球有效半径和有效温度随时间的变化规律(42群)

    Figure  1.  Effective temperature and radius of yield 1 kt explosion at sea level (42 Group)

    图  2  爆炸当量1 kt、爆炸高度为海平面高度时爆炸火球半径和温度随时间的变化规律(单群)

    Figure  2.  Effective temperature and radius of yield 1 kt explosion at sea level (single group)

    图  3  爆炸高度不同时尺度效应相似参数与密度的关系

    Figure  3.  Scale effect similarity parameter vs density at different altitudes

    图  4  不同爆炸高度下火球的热辐射功率和有效半径

    Figure  4.  Thermal radiant power and effective radius at different altitudes

    图  5  爆炸高度为35 km时不同爆炸当量下火球的热辐射功率和有效半径

    Figure  5.  Thermal radiant power and effective radius when altitude is 35 km for different yields

    图  6  R0取0.2和0.5 mm时火球的热辐射功率和有效半径(hb=0)

    Figure  6.  Thermal radiant power and effective radius under different initial radius for laboratory scale fireball (hb=0)

    图  7  R0取10.0和1.0 mm时火球的热辐射功率和有效半径( hb=20 km)

    Figure  7.  Thermal radiation power and effective radius under different initial radius for laboratory scale fireball (hb=20 km).

    表  1  爆炸当量为1kt时不同爆炸高度下的尺度效应参数

    Table  1.   scale effect similarity parameter of yield 1kt at different altitudes

    hb/(km) $ {\rho _{{h_b}}} $/(kg·m−3) LMFP/(m) LFB/(m) fscale
    0 1.22 5.98×10−5 32.00 1.87×10−6
    10 4.13×10−1 3.87×10−4 40.19 2.85×10−5
    20 8.84×10−2 5.70×10−3 55.55 1.42×10−3
    30 1.82×10−2 9.32×10−2 77.45 8.10×10−2
    35 8.30×10−3 3.70×10−1 91.30 5.97×10−1
    40 3.90×10−3 1.44 107.01 4.22
    50 9.92×10−4 1.67×10 146.62 1.44×102
    60 2.93×10−4 1.49×102 184.19 3.37×103
    70 7.58×10−5 1.71×103 244.72 1.12×105
    下载: 导出CSV

    表  2  海平面高度时不同火球尺度所对应的尺度效应参数(hb=0)

    Table  2.   scale effect similarity parameter in different laboratory scales (hb=0)

    R0/(m) $ {\rho _{{h_b}}} $/(kg·m−3) LMFP/m LFB/m fscale
    2.81 1.225 5.98×10−5 32.00 1.87×10−6
    1.00 1.225 5.98×10−5 9.86 6.07×10−6
    1.00×10−1 1.225 5.98×10−5 7.14×10−1 8.37×10−5
    1.00×10−2 1.225 5.98×10−5 5.17×10−2 1.16×10−3
    1.00×10−3 1.225 5.98×10−5 3.75×10−3 1.60×10−2
    5.00×10−4 1.225 5.98×10−5 1.70×10−3 3.52×10−2
    2.00×10−4 1.225 5.98×10−5 5.98×10−4 1.00×10−1
    下载: 导出CSV

    表  3  hb=20 km时不同火球尺度所对应的尺度效应参数

    Table  3.   scale effect similarity parameter in different laboratory scales (hb=20 km)

    R0/m $ {\rho _{{h_b}}} $/(kg·m−3) LMFP/m LFB/m fscale
    2.81 8.84×10−2 5.70×10−3 55.55 1.42×10−3
    1.00 8.84×10−2 5.70×10−3 17.11 4.61×10−3
    1.00×10−1 8.84×10−2 5.70×10−3 1.24 6.37×10−2
    1.00×10−2 8.84×10−2 5.70×10−3 8.98×10−2 8.79×10−1
    1.00×10−3 8.84×10−2 5.70×10−3 6.51×10−3 1.21×10
    5.00×10−4 8.84×10−2 5.70×10−3 2.95×10−3 2.67×10
    2.00×10−4 8.84×10−2 5.70×10−3 1.04×10−3 7.60×10
    下载: 导出CSV
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  • 收稿日期:  2023-05-26
  • 修回日期:  2024-06-17
  • 网络出版日期:  2024-06-17

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