Magnetic-Field Effect on Detonation Intensity

Authors

DOI:

https://doi.org/10.15407/ujpe71.6.521

Keywords:

shock waves, detonation, magnetic field, Hugoniot equation, Jouguet detonation process, detonation product velocity

Abstract

The detonation of an ideal gas flow moving in a magnetic field has been studied theoretically. A modified Hugoniot equation was obtained, which takes the influence of the magnetic field on the detonation process and the detonation wave parameters into account. It was demonstrated that under the influence of a magnetic field, combustion products move away from the detonation front at supersonic speeds. With the increasing magnetic field strength, the velocity of the detonation products also increases. A dependence was obtained that makes it possible to estimate the influence of heat release on the detonation parameters.

References

1. J.G. Jiancun, X. Yigang, S.H. Shoutao, L.W. Le, Z.H. Zijin, X.S. Xu, R.L. Ruxia. Effects of magnetic fields on combustion and explosion. Chem. Technol. Fuels Oils 58, 379 (2022).

https://doi.org/10.1007/s10553-022-01395-3

2. V. Anand, E. Gutmark. Rotating detonation combustors and their similarities to rocket instabilities. Prog. Energy Combust. Sci. 73, 182 (2019).

https://doi.org/10.1016/j.pecs.2019.04.001

3. J. Coffey, V. Anand, A. Gaetano, T. Pritschau, J. Betancourt, E. Gutmark. Impact of a magnetic field on a propagating detonation wave in an unconfined tube. In: AIAA Propulsion and Energy 2020 Forum, Online, Aug. 24-26, Paper 3859 (2020).

https://doi.org/10.2514/6.2020-3859

4. A.L. Kuhl, D.A. White, B.A. Kirkendall. Electromagnetic waves from TNT explosions. J. Electromagn. Anal. Appl. 6, 280 (2014).

https://doi.org/10.4236/jemaa.2014.610028

5. Y. Cui, D. Kong, J. Jiang, S. Gao. Research on electromagnetic radiation mechanism during detonation of energetic material. Sensors 22, 2765 (2022).

https://doi.org/10.3390/s22072765

6. S.D. Gilev, A.M. Ryabchun. Current waves generated by detonation of an explosive in a magnetic field. Combust. Explos. Shock Waves 37, 698 (2001).

https://doi.org/10.1023/A:1012940400602

7. S. Hu, Z. Hong, J. Gao, X. Yang, L. Wang, R. Li, Y. Li. Effect of magnetic field on alkane gas explosions. Combust. Flame 246, 112427 (2022).

https://doi.org/10.1016/j.combustflame.2022.112427

8. J. Gao, L. Wang, S. Hu, S. Zhou, X. Yang, X. Sun, Z. Hong, B. You. Free radical mechanism of electromagnetic field affecting explosion of premixed methane. Combust. Flame 234, 111649 (2021).

https://doi.org/10.1016/j.combustflame.2021.111649

9. J.P. Vishwakarma, R.K. Srivastava. Converging cylindrical detonation waves in an ideal gas with an azimuthal magnetic field. Res. Rev. J. Pure Appl. Phys. 1, 23 (2013).

10. J.P. Vishwakarma, R.K. Srivastava. Converging cylindrical shock waves in a nonideal gas with an axial magnetic field. Defence Sci. J. 56, 721 (2006).

https://doi.org/10.14429/dsj.56.1936

11. A.A. Avramenko, A.I. Tyrinov, I.V. Shevchuk. Analytical simulation of normal shock waves in turbulent flow. Phys. Fluids 34, 056101 (2022).

https://doi.org/10.1063/5.0093205

12. A.A. Avramenko, I.V. Shevchuk, N.P. Dmitrenko. Shock wave in van der Waals gas. J. Non-Equilib. Thermodyn. 47, 255 (2022).

https://doi.org/10.1515/jnet-2021-0099

13. A.A. Avramenko, I.V. Shevchuk, N.P. Dmitrenko, I.F. Skitsko. Shock waves in gas flows with nanoparticles. J. Therm. Anal. Calorim. 147, 12719 (2022).

https://doi.org/10.1007/s10973-022-11483-5

14. A.A. Avramenko, A.I. Tyrinov, I.V. Shevchuk, N.P. Dmitrenko. Oblique shock wave in turbulent flow. J. NonEquilib. Thermodyn. 48, 389 (2023).

https://doi.org/10.1515/jnet-2022-0093

15. H. Wenhu, G. Yang, L.K. Chung. Flame acceleration and deflagration-to-detonation transition in micro- and macro-channels: An integrated mechanistic study. Combust. Flame 176, 285 (2017).

https://doi.org/10.1016/j.combustflame.2016.10.010

16. B. Zhang, H. Liu, B. Yan. Investigation on the detonation propagation limit criterion for methane-oxygen mixtures in tubes with different scales. Fuel 239, 617 (2019).

https://doi.org/10.1016/j.fuel.2018.11.062

17. X. Yang, S. Hu, L. Wang, X. Sun, Z. Hong, R. Li, H. Shi, J. Gao. Effect of magnetic field on dynamics of 5% propane/air premixed gases. J. Phys.: Conf. Ser. 1948, 012133 (2021).

https://doi.org/10.1088/1742-6596/1948/1/012133

18. P.O. Libin, G.N. Kumar. Effect of magnetic field on properties and combustion of hydrocarbon fuels. Int. J. Mech. Mater. Eng. 9, 89 (2019).

https://doi.org/10.24247/ijmperdjun20199

19. L.K. Cole. Combustion and Magnetohydrodynamic Processes in Advanced Pulse Detonation Rocket Engines. PhD Thesis (Univ. of California Los Angeles, Los Angeles, USA, 2012).

20. B. Helliwell. Magnetogasdynamic deflagration and detonation waves with ionization. J. Fluid Mech. 16, 243 (1963).

https://doi.org/10.1017/S0022112063000720

21. E. Jouguet. Sur la propagation des r'eactions chimiques dans les gaz. J. Math. Pures Appl. 1, 347 (1905).

22. E. Jouguet. Sur la propagation des r'eactions chimiques dans les gaz. J. Math. Pures Appl. 2, 5 (1906).

23. S. Pal. Magnetogasdynamics: Plasma Dynamics (Springer, 1962).

https://doi.org/10.1007/978-3-7091-8083-9

24. W.J.M. Rankine. On the thermodynamic theory of waves of finite longitudinal disturbances. Phil. Trans. R. Soc. Lond. 160, 277 (1870).

https://doi.org/10.1098/rstl.1870.0015

25. P.H. Hugoniot. M'emoire sur la propagation du mouvement dans les corps et plus sp'ecialement dans les gaz parfaits. Part I. J.'Ecole Polytech. 57, 3 (1887).

26. P.H. Hugoniot. M'emoire sur la propagation du mouvement dans les corps et plus sp'ecialement dans les gaz parfaits. Part II. J.'Ecole Polytech. 58, 1 (1889).

27. J. Tyl. Analysis of convergence of detonation wave in magnetic field. Arch. Mech. Eng. 47, 5 (2000).

28. S.-I. Pai. Magnetodynamics and Plasma Dynamics (Springer-Verlag, 1962).

Downloads

Published

2026-05-25

Issue

Vol. 71 No. 6 (2026)

Section

Physics of liquids and liquid systems, biophysics and medical physics

License

Copyright Agreement
License to Publish the Paper
Kyiv, Ukraine

The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:

1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.

2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.

3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.

4. Duration.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.

5. Loyalty.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.

6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.

How to Cite

Magnetic-Field Effect on Detonation Intensity. (2026). Ukrainian Journal of Physics, 71(6), 521. https://doi.org/10.15407/ujpe71.6.521

Most read articles by the same author(s)