Skip to main content
SpringerLink
Log in

Investigation of the Plasma Current Sheath Dynamics in the Run Down Phase of the Hemispherical Plasma Focus Devices Using Two-Dimensional Time Dependent Modeling

  • PLASMA DYNAMICS
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

The Hemisphere Plasma Focus (HSPF) device is a new construction in which the discharge takes place between two concentric hemispherical electrodes. A 2D snow plow model is designed in order to simulate the distributions of the HSPF characteristics between the two electrodes. The model used the momentum and circuit equations to describe the different characteristics in the rundown phase such as; the distributions of the magnetic field, the sheath velocity, the sheath displacement, and the plasma temperature. The results show that the simulated discharge current is in a good agreement with the experimental signal for input charging voltage of 3 kV and helium gas pressure of 0.6 Torr. The peak discharge current is about 42 kA with rise time of about 8.5 μs and the rundown phase is completed at time of about 6.5 μs. The timelines of the current sheath displacement show that the sheath has almost an umbrella shape. As the current sheath is accelerated in θ-direction towards antipodal point, the magnetic field and the plasma temperature are increased and their values are higher as one goes closer to the inner electrode.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

REFERENCES

  1. J. W. Mather, in Methods of Experimental Physics, Ed. by R. H. Lowberg and H. R. Griem (Academic, New York, 1971), Vol. 9B, p. 187.

  2. J. W. Mather, Phys. Fluids 7, S28 (1964).

    Article  ADS  Google Scholar 

  3. N. V. Filippov, T. I. Filippova, and V. P. Vinogradov, Nucl. Fusion, Suppl., Part 2, 577 (1962).

  4. I. F. Belyaeva and N. V. Filippov, Nucl. Fusion 13, 881 (1973).

    Article  Google Scholar 

  5. M. A. Mohammadi, S. Sobhanian, M. Ghomeishi, E. Ghareshabani, M. Moslehifard, S. Lee, and R. S. Rawat, J. Fusion Energy 28, 371 (2009).

    Article  ADS  Google Scholar 

  6. S. H. Saw, M. Akel, P. C. K. Lee, S. T. Ong, S. N. Mohamad, F. D. Ismail, N. D. Nawi, K. Devi, R. M. Sabri, A. H. Baijan, J. Ali, and S. Lee, J. Fusion Energy 31, 411 (2012).

    Article  ADS  Google Scholar 

  7. M. Liu, X. Feng, S. V. Springham, and S. Lee, IEEE Trans. Plasma Sci. 26, 135 (1998).

    Article  ADS  Google Scholar 

  8. M. Zakaullah, G. Murtaza, S. Qamar, I. Ahmad, and M. Beg, Phys. Scr. 53, 360 (1996).

    Article  ADS  Google Scholar 

  9. A. E. Abdou, M. I. Ismail, A. E. Mohamed, S. Lee, S. H. Saw, and R. Verma, IEEE Trans. Plasma Sci. 40, 2741 (2012).

    Article  ADS  Google Scholar 

  10. A. Serban and S. Lee, Fusion Sci. Technol. 35, 54 (1999).

    Article  ADS  Google Scholar 

  11. S. Lee and S. H. Saw, Energies 3, 711 (2010)

    Article  Google Scholar 

  12. S. Lee, T. Y. Tou, S. P. Moo, M. A. Eissa, A. V. Gholap, K. H. Kwek, S. Mulyodrono, A. J. Smith, Suryadi, W. Usada, and M. Zakaullah, Am. J. Phys. 56, 62 (1988).

    Article  ADS  Google Scholar 

  13. M. Trunk, Plasma Phys. 17, 237 (1975).

    Article  ADS  Google Scholar 

  14. S. Lee, in Laser and Plasma Technology: Proceedings of the First Tropical College on Applied Physics, 26th December to 14th January, 1984, Held at the Physics Department, University of Malaya, Kuala Lumpur in Cooperation with ASEAN Institute of Physics and the Malaysian Institute of Physics, Ed. by S. Lee (World Scientific, Singapore, 1985), p. 37.

  15. S. Lee and A. Serban, IEEE Trans. Plasma Sci. 24, 1101 (1996).

    Article  ADS  Google Scholar 

  16. S. Lee, C. S. Wong, T. Y. Tou, J. B. Jalil, and A. C. Chew, in Laser and Plasma Technology: Proceedings of the First Tropical College on Applied Physics, 26th December to 14th January, 1984, Held at the Physics Department, University of Malaya, Kuala Lumpur in Cooperation with ASEAN Institute of Physics and the Malaysian Institute of Physics, Ed. by S. Lee (World Scientific, Singapore, 1985), p. 63.

  17. S. Lee, in Laser and Plasma Technology: Proceedings of the First Tropical College on Applied Physics, 26th December to 14th January, 1984, Held at the Physics Department, University of Malaya, Kuala Lumpur in Cooperation with ASEAN Institute of Physics and the Malaysian Institute of Physics, Ed. by S. Lee (World Scientific, Singapore, 1985), p. 3.

  18. B. Shan, P. Lee, and S. Lee, Singapore J. Phys. 16, 25 (2000).

    Google Scholar 

  19. M. H. Liu and S. Lee, in Proceedings of 9th International Congress on Plasma Physics & 25th EPS Conference on Controlled Fusion and Plasma Physics, Prague, 1998, ECA 22C, 2169 (1998).

  20. S. Lee, J. Fusion Energy 33, 319 (2014).

    Article  Google Scholar 

  21. S. Lee, P. Lee, S. H. Saw, and R. S. Rawat, Plasma Phys. Controlled Fusion 50, 065012 (2008).

  22. N. G. Makeev and V. G. Rumyantsev, in Physics and Technology of Pulsed Ionizing Radiation Sources for Studying Fast Processes, Ed. by N. G. Makeev (VNIIEF, Sarov, 1996) [in Russian].

    Google Scholar 

  23. M. E. Abdelkader and M. A. Abd Al-Halim, Fusion Sci. Technol. 76, 758 (2020).

    Article  ADS  Google Scholar 

  24. M. A. Abd Al-Halim, J. Fusion Energy 29, 134 (2010).

    Article  ADS  Google Scholar 

  25. Y. Ay, M. A. Abd Al-Halim, and M. A. Bourham, Eur. Phys. J. D 69, 205 (2015).

    Article  ADS  Google Scholar 

  26. Y. Ay, Phys. Plasmas 26, 102506 (2019).

  27. Y. Ay, Int. J. Mod. Phys. E 28, 1950097 (2019).

  28. N. V. Zavyalov, V. V. Maslov, V. G. Rumyantsev, I. Yu. Drozdov, D. A. Ershov, D. S. Korkin, D. A. Molodtsev, V. I. Smerdov, A. P. Falin, and A. A. Yukhimchuk, Plasma Phys. Rep. 39, 243 (2013).

    Article  ADS  Google Scholar 

  29. Y. Ay, M. A. Abd Al-Halim, and M. A. Bourham, J. Fusion Energy 35, 407 (2016).

    Article  Google Scholar 

  30. S. F. Garanin and V. I. Mamyshev, Plasma Phys. Rep. 34, 639 (2008).

    Article  ADS  Google Scholar 

  31. S. F. Garanin, V. Yu Dolinskii, N. G. Makeev, V. I. Mamyshev, and V. V. Maslov, Plasma Phys. Rep. 46, 978, (2020).

    Article  ADS  Google Scholar 

  32. V. Yu Dolinskii, D. A. Ershov, A. P. Falin, S. F. Garanin, A. V. Garin, O. N. Petrushin, and Yu S. Shigaev, in Proceedings of the 16th International Conference on Megagauss Magnetic Field Generation and Related Topics, Kashiwa, 2018. https://doi.org/10.1109/MEGAGAUSS.2018.8722685

  33. J. Narkis, E. N. Hahn, D. R. Lowe, D. Housley, F. Conti, and F. N. Beg, Phys. Plasmas 28, 022707 (2021)

  34. E. N. Hahn, D. Housley, J. Narkis, F. Conti, D. R. Lowe, and F. N. Beg, J. Appl. Phys. 128, 143302 (2020).

  35. A. Schmidt, A. Link, D. Welch, B. T. Meehan, V. Tang, C. Halvorson, M. May, and E. C. Hagen, Phys. Plasmas 21, 102703 (2014).

  36. S. Ishii, T. Hara, F. Sonoda, M. Fukuta, and I. Hayashi, J. Inst. Electr. Eng. Jpn. 106 (3), 10 (1986).

    Article  Google Scholar 

  37. M. E. Abdelkader, M. A. Abd Al-Halim, A. M. Shagar, and A. H. Saudy, Eur. Phys. J. D 68, 160 (2014).

    Article  ADS  Google Scholar 

  38. S. Goudarzi and A. Raeisdana, J. Fusion Energy 30, 130 (2011).

    Article  ADS  Google Scholar 

  39. A. Raeisdana, S. M. Sadat Kiai, A. Sadighzadeh, and M. Nasri Nasrabadi, J. Fusion Energy 33, 746 (2014).

    Article  Google Scholar 

  40. V. Siahpoush, M. Tafreshi, S. Sobhanian, and S. Khorram, Plasma Phys. Controlled Fusion 47, 1065 (2005).

    Article  ADS  Google Scholar 

  41. T. D. Mahabadi and M. A. Tafreshi, Plasma Phys. Controlled Fusion 49, 1447 (2007).

    Article  ADS  Google Scholar 

  42. Sh. Al-Hawat, M. Akel, S. Lee, and S. H. Saw, J. Fusion Energy 31, 13 (2012).

    Article  ADS  Google Scholar 

  43. L. Mahe, PhD Thesis (Nanyang Technoloical University, Singapore, 1996), Ch. 5, p. 143.

  44. S. Lee, Description of Radiative Dense Plasma Focus Computation Package RADPFV5.16. http://www.intimal.edu.my/school/fas/UFLF/File1RADPF.htm. Cited January 15, 2023; http://www.plasmafocus.net/IPFS/modelpackage/File1RADPF.htm. Cited January 15, 2023.

Download references

Author information

Authors and Affiliations

  1. Plasma and Nuclear Fusion Department, National Research Centre, Egyptian Atomic Energy Authority, 13759, Inshaas, Abu Zaabal, Egypt

    M. E. Abdel-kader

  2. Physics Department, Faculty of Science, Benha University, 13518, Benha, Egypt

    M. A. Abd Al-Halim

Authors
  1. M. E. Abdel-kader
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Abd Al-Halim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. A. Abd Al-Halim.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Abdel-kader, M.E., Abd Al-Halim, M.A. Investigation of the Plasma Current Sheath Dynamics in the Run Down Phase of the Hemispherical Plasma Focus Devices Using Two-Dimensional Time Dependent Modeling. Plasma Phys. Rep. 49, 1023–1030 (2023). https://doi.org/10.1134/S1063780X23600159

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X23600159

Keywords:

Search

Navigation