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Investigation of the properties of a shock wave arising in a supersonic flow of plasma, passing through a transverse magnetic field

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Abstract

In a flow of plasma, set up by an ionizing shock wave and moving through a transverse magnetic field, under definite conditions there arises a gasdynamic shock wave. The appearance of such shock waves has been observed in experimental [1–4] and theoretical [5–7] work, where an investigation was made of the interaction between a plasma and electrical and magnetic fields. The aim of the present work was a determination of the effect of the intensity of the interaction between the plasma and the magnetic field on the velocity of the motion of this shock wave. The investigation was carried out in a magnetohydrogasdynamic unit, described in [8]. The process was recorded by the Töpler method (IAB-451 instrument) through a slit along the axis of the channel, on a film moving in a direction perpendicular to the slit. The calculation of the flow is based on the one-dimensional unsteady-state equations of magnetic gasdynamics. Using a model of the process described in [9], calculations were made for conditions close to those realized experimentally. In addition, a simplified calculation is made of the velocity of the motion of the above shock wave, under the assumption that its front moves at a constant velocity ahead of the region of interaction, while in the region of interaction itself the flow is steady-state.

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Literature cited

  1. S. G. Zaitsev, E. V. Lazareva, E. I. Chebotareva, and É. K. Chekalin, “The structure of a supersonic flow of conducting gas in a transverse magnetic field with take-off of the induced emf, and investigation of the volt-ampere characteristics,” Electricity from MHD,2 (1968).

  2. H. L. Pain and P. R. Smy, “Experimental investigation of interaction between a plasma and a magnetic field,” in: The Direct Conversion of Thermal Energy Into Electrical Energy, and Fuel Cells, No. 7 (1967).

  3. Zh. Valensi, G. Inglesakis, and P. Parro, “Investigation of the effect of a strong transverse magnetic field on a supersonic flow of ionized argon,” in: Low-Temperature Plasma [Russian translation], Izd. Mir (1967).

  4. H. Klingenberg, “Arc phenomena and gasdynamic effects due to interaction of shock waves with magnetic fields,” Z. Naturforsch,23a, No. 12 (1968);24a, No. 4 (1969).

  5. M. R. Johnson, “Interaction between a flow behind a shock wave and a magnetic field,” in: The Direct Conversion of Thermal Energy into Electrical Energy and Fuel Cells, No. 1 [Russian translation] (1968).

  6. H. Klingenberg, F. Sardei, and W. Zimmermann, “Quantitative experimental and theoretical investigations on the interaction of shock waves with magnetic fields,” Z. Naturforsch.,24a, No. 10 (1969).

  7. J. Roschiszewski and W. Gallaher, “Interaction between a flow set up in a shock tube and an electromagnetic field,” The Direct Conversion of Thermal Energy into Electricity and Fuel Cells, No. 7 [Russian translation] (1971).

  8. S. G. Zaitsev (Zaytzev), E. V. Lazareva, I. K. Favorskaya, E. I. Chebotareva, and M. B. Borisov, “Study of ionizing flow through a transverse magnetic field,” Shock Tubes. Proceedings of 7th International Shock Tube Symposium, Toronto, 1969 (1970).

  9. S. G. Zaitsev and I. K. Favorskaya, “Calculation of the propagation of a shock wave in a magnetogasdynamic channel,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. i Gaza, No. 5 (1970).

  10. S. G. Zaitsev, E. V. Lazareva, E. V. Motulevich, K. V. Chaikovskii, E. I. Chebotareva, and E. K. Chekalin, “Investigation of the flow of a plasma in the channel of a pulsed magnetogasdynamic unit and the erosion of electrodes under arcing conditions in a flow of nonequilibrium plasma,” 5th International Conference on Magnetohydrodynamic Electric Power Generation, Vol. 2 (1971).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 86–91, January–February, 1975.

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Zaitsev, S.G., Mikhailov, A.V. & Favorskaya, I.K. Investigation of the properties of a shock wave arising in a supersonic flow of plasma, passing through a transverse magnetic field. Fluid Dyn 10, 73–78 (1975). https://doi.org/10.1007/BF01023783

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  • DOI: https://doi.org/10.1007/BF01023783

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