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Magneto-hydrodynamic calculation of magnetic flux compression with explosion driven solid liners and analysis of quasi-isentropic process

Zhao Ji-Bo Sun Cheng-Wei Gu Zhuo-Wei Zhao Jian-Heng Luo Hao

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Magneto-hydrodynamic calculation of magnetic flux compression with explosion driven solid liners and analysis of quasi-isentropic process

Zhao Ji-Bo, Sun Cheng-Wei, Gu Zhuo-Wei, Zhao Jian-Heng, Luo Hao
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  • Magnetic cumulative generator (MC-1) is a kind of high energy density dynamic device. A liner is driven by a cylinderical explosive implosion to compress the magnetic flux preset in the cavity. Then the chemical energy is converted into magnetic one, which is cumulated nearby the axis to form ultra-intense magnetic field used to load sample in non-touch manner. This loading technique can bring higher pressure and relatively low elevated temperature in the sample and has a very high-degree isentropy in the course of compression. The configuration magneto-hydrodynamic code SSS/MHD is used to develop one-dimensional magneto-hydrodynamic calculation of magnetic flux compression with explosion driven solid liner. The calculation results of magnetic field in cavity and velocity of inner wall of sample tube are obtained and accord with the magnetic field measured by probe and the velocity measured by laser interference. The buckling and Bell-Plesset instabilization produced by linerly compressing magnetic field are shown through frame photography. The change laws of magnetic diffusion, eddy current and magnetic pressure in liner and sample tube are analyzed, which show that the magnetic field and pressure and eddy near to cavity in the sample tube are all higher than the ones in the liner with the same distance to cavity. The balance between the electromagnetism force and implosion action and the difference between sample tube and liner velocities are the main reasons under imploding movement. The change of isentropic increment with compression degree at the same location, whose distance is 0.05 mm to magnetic cavity in the sample tube, is discussed. The result indicates that the ratio of the maximum increment to specific heat of sample tube material is about 10%, which shows that the process of compression magnetic flux with explosion is quasi-isentropic. In general, SSS/MHD code can reveal in depth the physic images which are difficult to measure or observe in the magneto-hydrodynamics experiment.
    • Funds: Project supported by the Joint Fund of the National Natural Science Foundation of China and the China Academy of Engineering Physics (Grant No. 11176002).
    [1]

    Altgilbers L L, Brown M D J, Grishnaev I, Novac B M, Smith I R, Tkach I, Tkach Y (translated by Sun C W, Zhou Z K) 2008 Magnetocumulative Genertors (Beijing: National Defense Industry Press) pp1-5 (in Chinese) [Altgilbers L L, Brown M D J, Grishnaev I, Novac B M, Smith I R, Tkach I, Tkach Y 著(孙承纬, 周之奎 译) 2008 磁通压缩发生器(北京: 国防工业出版社)第1-5页]

    [2]

    Lindemuth I R, Ekdahl C A, Fowler C M, Reinovsky R E, Younger S M, Chernyshev V K, Mokhov V N, Pavlovskii A I 1997 IEEE Trans. Plasma Sci. 25 1357

    [3]

    Boyko B A, Bykov A I, Dolotenko M I, Kolokol'chikov N P, Markevtsev I M, Tatsenko O M, Shuvalov K 1999 12th IEEE International Pulsed Power Conference Monterey, USA, June 27-30, 1999 p746

    [4]

    Bykov A I, Dolotenko M I, Kolokol'chikov N P, Pavlovskii A I, Tatsenko O M 1996 Physica B 216 215

    [5]

    Hawke R S, Duerre D E, Huebel J G, Klapper H, Steinberg D J, Keeler R N 1972 J. Appl. Phys. 43 2734

    [6]

    Pavlovskii A I, Dolotenko M I, Kolokol'chikov N P 1984 Ultrahigh Magnetic Field Physics Techniques (Moscow: Nauka) p19

    [7]

    Boyko B A, Bykov A I, Dolotenko M I, Kolokol'chikov N P, Markevtsev I M, Tatsenko O M, Shuvalov A M 1998 Proceeding of the VIIIth International Conference on Megagauss Magnetic Field Generation and Related Topic Tallahassee, USA, October 18-23, 1998 p61

    [8]

    Boriskov G V, Belov S I, Bykov A I, Dolotenko M I, Egorov N I, Korshunov A S, Kudasov Y B, Makarov I V, Selemir V D, Filippov A V 2010 J. Low. Temp. Phys. 159 307

    [9]

    Boriskov G V 2011 Contrib. Plasma Phys. 51 339

    [10]

    Gao Z S, Zhang X P, Wang D L, Qi Y P, Wang L, Cheng J S, Wang Q L, Ma Y W, Awaji S, Watanabe K 2011 Chin. Phys. Lett. 28 067402

    [11]

    Gu Z W, Luo H, Zhang H D, Zhao S C, Tang X S, Tong Y J, Song Z F, Zhao J H, Sun C W 2013 Acta Phys. Sin. 62 170701 (in Chinese) [谷卓伟, 罗浩, 张恒第, 赵士操, 唐小松, 仝延锦, 宋振飞, 赵剑衡, 孙承纬 2013 物理学报 62 170701]

    [12]

    Li L L, Zhang H, Yang X J 2014 Acta Phys. Sin. 63 165202 (in Chinese) [李璐璐, 张华, 杨显俊 2014 物理学报 63 165202]

    [13]

    Selemir V D, Demidov V A, Repin P B, Orlov A P, Egorov N V 2010 IEEE Trans. Plasma Sci. 38 1719

    [14]

    Dolotenko M I, Aseeva V V, Boriskov G V, Kozlov M B, Rudenko V V, Shaburov M V 2001 IEEE Pulsed Power Plasma Science 2 1185

    [15]

    Rhodes R, Keefer D 2003 IEEE Trans. Plasma Sci. 31 248

    [16]

    Zhang H D 2012 M. S. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese) [张恒第 2012 硕士学位论文 (绵阳: 中国工程物理研究院)]

    [17]

    Sun C W 1986 Chin. J. Comput. Phys. 3 143 (in Chinese) [孙承纬 1986 计算物理 3 143]

    [18]

    Sun C W, Wei Y Z, Zhou Z K 2000 Applied Detonation Physics (Beijing: National Defense Industry Press) p305 (in Chinese) [孙承纬, 卫玉章, 周之奎 2000 应用爆轰物理(北京: 国防工业出版社)第305页]

    [19]

    Ramis R, Ramirez J, Schurtz G 2006 33rd European Physical Society Conference on Plasma Physics Rome, Italy, June 19-23, 2006 p213

    [20]

    Wang G J, Jiang J H, Sun C W, Tan F L, Zhang N, Mo J J 2008 Chin. J. Comput. Mech. 25 776 (in Chinese) [王桂吉, 蒋吉昊, 孙承纬, 谭福利, 张宁, 莫建军 2008 计算力学学报 25 776]

    [21]

    Konefel G 1970 Pulsed High Magnetic Field (Amsterdarm: North-Holland Publishing Company Press) p252

    [22]

    Vogler T J, Ao T, Asay J R 2009 Int. J. Plast. 25 671

  • [1]

    Altgilbers L L, Brown M D J, Grishnaev I, Novac B M, Smith I R, Tkach I, Tkach Y (translated by Sun C W, Zhou Z K) 2008 Magnetocumulative Genertors (Beijing: National Defense Industry Press) pp1-5 (in Chinese) [Altgilbers L L, Brown M D J, Grishnaev I, Novac B M, Smith I R, Tkach I, Tkach Y 著(孙承纬, 周之奎 译) 2008 磁通压缩发生器(北京: 国防工业出版社)第1-5页]

    [2]

    Lindemuth I R, Ekdahl C A, Fowler C M, Reinovsky R E, Younger S M, Chernyshev V K, Mokhov V N, Pavlovskii A I 1997 IEEE Trans. Plasma Sci. 25 1357

    [3]

    Boyko B A, Bykov A I, Dolotenko M I, Kolokol'chikov N P, Markevtsev I M, Tatsenko O M, Shuvalov K 1999 12th IEEE International Pulsed Power Conference Monterey, USA, June 27-30, 1999 p746

    [4]

    Bykov A I, Dolotenko M I, Kolokol'chikov N P, Pavlovskii A I, Tatsenko O M 1996 Physica B 216 215

    [5]

    Hawke R S, Duerre D E, Huebel J G, Klapper H, Steinberg D J, Keeler R N 1972 J. Appl. Phys. 43 2734

    [6]

    Pavlovskii A I, Dolotenko M I, Kolokol'chikov N P 1984 Ultrahigh Magnetic Field Physics Techniques (Moscow: Nauka) p19

    [7]

    Boyko B A, Bykov A I, Dolotenko M I, Kolokol'chikov N P, Markevtsev I M, Tatsenko O M, Shuvalov A M 1998 Proceeding of the VIIIth International Conference on Megagauss Magnetic Field Generation and Related Topic Tallahassee, USA, October 18-23, 1998 p61

    [8]

    Boriskov G V, Belov S I, Bykov A I, Dolotenko M I, Egorov N I, Korshunov A S, Kudasov Y B, Makarov I V, Selemir V D, Filippov A V 2010 J. Low. Temp. Phys. 159 307

    [9]

    Boriskov G V 2011 Contrib. Plasma Phys. 51 339

    [10]

    Gao Z S, Zhang X P, Wang D L, Qi Y P, Wang L, Cheng J S, Wang Q L, Ma Y W, Awaji S, Watanabe K 2011 Chin. Phys. Lett. 28 067402

    [11]

    Gu Z W, Luo H, Zhang H D, Zhao S C, Tang X S, Tong Y J, Song Z F, Zhao J H, Sun C W 2013 Acta Phys. Sin. 62 170701 (in Chinese) [谷卓伟, 罗浩, 张恒第, 赵士操, 唐小松, 仝延锦, 宋振飞, 赵剑衡, 孙承纬 2013 物理学报 62 170701]

    [12]

    Li L L, Zhang H, Yang X J 2014 Acta Phys. Sin. 63 165202 (in Chinese) [李璐璐, 张华, 杨显俊 2014 物理学报 63 165202]

    [13]

    Selemir V D, Demidov V A, Repin P B, Orlov A P, Egorov N V 2010 IEEE Trans. Plasma Sci. 38 1719

    [14]

    Dolotenko M I, Aseeva V V, Boriskov G V, Kozlov M B, Rudenko V V, Shaburov M V 2001 IEEE Pulsed Power Plasma Science 2 1185

    [15]

    Rhodes R, Keefer D 2003 IEEE Trans. Plasma Sci. 31 248

    [16]

    Zhang H D 2012 M. S. Dissertation (Mianyang: China Academy of Engineering Physics) (in Chinese) [张恒第 2012 硕士学位论文 (绵阳: 中国工程物理研究院)]

    [17]

    Sun C W 1986 Chin. J. Comput. Phys. 3 143 (in Chinese) [孙承纬 1986 计算物理 3 143]

    [18]

    Sun C W, Wei Y Z, Zhou Z K 2000 Applied Detonation Physics (Beijing: National Defense Industry Press) p305 (in Chinese) [孙承纬, 卫玉章, 周之奎 2000 应用爆轰物理(北京: 国防工业出版社)第305页]

    [19]

    Ramis R, Ramirez J, Schurtz G 2006 33rd European Physical Society Conference on Plasma Physics Rome, Italy, June 19-23, 2006 p213

    [20]

    Wang G J, Jiang J H, Sun C W, Tan F L, Zhang N, Mo J J 2008 Chin. J. Comput. Mech. 25 776 (in Chinese) [王桂吉, 蒋吉昊, 孙承纬, 谭福利, 张宁, 莫建军 2008 计算力学学报 25 776]

    [21]

    Konefel G 1970 Pulsed High Magnetic Field (Amsterdarm: North-Holland Publishing Company Press) p252

    [22]

    Vogler T J, Ao T, Asay J R 2009 Int. J. Plast. 25 671

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Publishing process
  • Received Date:  11 September 2014
  • Accepted Date:  26 November 2014
  • Published Online:  05 April 2015

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