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Supersonic Flow past a Sharp Plate with Surface Anomalous Glow Discharge in a Magnetic Field

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Abstract

The electrodynamic structure of an anomalous glow discharge between two plane electrodes located on the surface of a sharp plate in supersonic flow of molecular nitrogen is studied numerically in a wide range of Mach numbers using a modified ambipolar model of quasi-neutral electric-discharge plasma. The ambipolar diffusion coefficient and the effective ionization rate are modified while taking into account the external magnetic field. The problem is solved in the two-dimensional x–y formulation, when the external magnetic field strength is directed in the positive or negative direction of the z axis. The parameters of anomalous glow discharge are numerically studied in the pressure range p = 0.14–5 Torr and the voltage drops on the quasineutral current column of discharge plasma V = 30–320 V. The main problem parameters which make it possible to obtain a reasonable agreement with the available experimental data are determined.

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REFERENCES

  1. Engel’, A. and Shteenbek, M., Fizika i tekhnika elektricheskogo razryada v gazakh. T. 2 (Physics and Technology of Electric Discharge in Gases, vol. 2), Moscow, Leningrad: United Scientific and Technical Publishing House of the NKTP USSR, 1936.

  2. Kaptsov, N.A., Elektricheskie yavleniya a gazakh i vakuume (Electrical Phenomena in Gases and Vacuum), Moscow: Gostekhizdat, 1950.

  3. Brown, S.C., Basic Data of Plasma Physics, Technology Press of M.I.T. and Wiley, 1966.

    Google Scholar 

  4. Granovskii, V.L., Elektricheskii tok v gaze. Ustanovivshisya tok (Electric Current in Gas. Steady Current), Moscow: Nauka, 1971.

  5. Raizer, Yu.P., Fizika gazovogo razryada (Physics of Gas Discharge), Moscow: Nauka, 1987.

  6. Kimmel, R.L., Hayes, J.R., Menart, J.A., and Shang, J., Effect of surface plasma discharge on boundary layers at Mach 5, AIAA Paper 2004-509, 2004.

  7. Menart, J., Shang, J.S., Kimmel, R., and Hayes, J., Effect of magnetic fields on plasma generated in a Mach 5 wind tunnel, AIAA Paper 2003–4165, June 2003.

  8. Shang, J.S., Surzhikov, S.T., Kimmel, R., Gaitonde, D., Menart, J., and Hayes, J., Mechanisms of plasma actuators for hypersonic flow control, Progress in Aerospace Sciences, 2005, vol. 41, pp. 642–668.

    Article  ADS  Google Scholar 

  9. Surzhikov, S.T., Fizicheskaya mekhanika gazovykh razryadov (Physical Mechanics of Gas Discharges), Moscow: Publishing House of MSTU im. N.E. Bauman, 2006.

  10. Gladush, G.G. and Samokhin, A.A., Numerical study of current pinching on electrodes in a glow discharge, Prikl. Mekh. Tekh. Fiz., 1981, no. 5, pp. 15–23.

  11. Raizer, Yu.P. and Surzhikov, S.T., Two-dimensional structure of a normal glow discharge and the role of diffusion in formation of cathode and anode spots, Teplofiz. Vysok. Temp., 1988, vol. 25, no. 3, pp. 428–435.

    Google Scholar 

  12. Bityurin, V.A., Bocharov, A.N., and Popov, N.A., Numerical simulation of an electric discharge in supersonic flow, Fluid Dyn., 2008, vol. 43, no. 4, pp. 642–653. https://doi.org/10.1134/S0015462808040170

    Article  ADS  Google Scholar 

  13. Baranov, V.B. and Krasnobaev, K.V., Gidrodinamicheskaya teoriya kosmicheskoi plasmy (Hydrodynamic Theory of Space Plasma), Moscow: Nauka, 1977.

  14. Gershman, B.N., Eruhimov, L.M., and Yashin, Yu.Ya., Volnovye yavleniya v ionosphere i kosmicheskoi plasme (Wave Phenomena in the Ionosphere and Space Plasma), Moscow: Nauka, 1984.

  15. Shkarofsky, I.P., Johnston, T.W., and Bachynski, M.P., The Particle Kinetics of Plasmas, Reading, Mass.: Addison-Wesleys, 1966.

    Google Scholar 

  16. Surzhikov, S.T., Two-dimensional electrodynamic structure of a normal glow discharge in the longitudinal magnetic field, Fiz. Plazmy, 2017, vol. 43, no. 3, pp. 303–313.

    Google Scholar 

  17. Raizer, Yu.P. and Surzhikov, S.T., Once again about the nature of the effect of normal current density on the cathode of a glow discharge, Pis’ma v ZhTF, 1987, vol. 13, no. 8, pp. 452–456.

    Google Scholar 

  18. Surzhikov, S.T. and Shang, J.S., Two-component plasma model for two-dimensional glow discharge in magnetic field, J. Comp. Phys., 2004, vol. 199, pp. 437–464.

    Article  ADS  Google Scholar 

  19. Tamm, I.E., Osnovy teorii elektrichestva (Fundamentals of Electricity Theory), Moscow: Nauka, 1966.

  20. Kadomtsev, B.B., Kollektivnye yavleniya v plazme (Collective Phenomena in Plasma), Moscow: Nauka, 1988.

  21. Trubnikov, B.A., Teoriya plasmy (Theory of Plasma), Moscow: Energoatomizdat, 1996.

  22. Surzhikov, S.T., Giperzvukovoe obtekanie razrezhennym gazom povekhnostnogo tleyushchego razgyada s vneshnim magnitnym polem (Hypersonic Rarefied Gas Flow past a Glow Discharge with an External Magnetic Field), Moscow: Izd-vo IPMekh RAN, 2011.

  23. Surzhikov, S.T. and Shang, J.S., Viscous interaction on a flat plate with the surface discharge in a magnetic field, Teplofiz. Vysok. Temp., 2005, vol. 43, no. 1, pp. 21–31.

    Google Scholar 

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Funding

This work was supported by the Russian Science Foundation (grant no. 22-11-00062).

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  1. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia

    S. T. Surzhikov

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  1. S. T. Surzhikov
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Correspondence to S. T. Surzhikov.

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Translated by E.A. Pushkar

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Surzhikov, S.T. Supersonic Flow past a Sharp Plate with Surface Anomalous Glow Discharge in a Magnetic Field. Fluid Dyn 58, 1110–1133 (2023). https://doi.org/10.1134/S0015462823601985

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