Diffusion-drift model of the surface glow discharge in supersonic gas flow

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Abstract

The two-dimensional electrogasdynamic problem of anomalous glow discharge on the surface of a sharp plate in supersonic flow of a perfect gas is solved using the system of Navier-Stokes equations to describe thermogasdynamic processes in the boundary layer and the two-temperature two-fluid diffusion-drift model of gas-discharge plasma to determine the electrodynamic structure of the discharge. The near-electrode regions of space charge and the external electrical circuit consisting of a power source and an ohmic resistance are taken into account. The influence of the magnetic field which is transverse to gas flow and has the induction of up to 0.03 T on the structure of boundary layer and glow discharge is studied. The electrogasdynamic structure of anomalous near-surface discharges is studied numerically over a wide range of gas flow velocities (M = 5–20), the free-stream pressures (p = 0.6–5 Torr), the electrode voltages, and the electric currents through the discharges. The electrodynamic structure of the gas-plasma flow near the electrodes and the effect of the glow discharge on the pressure and temperature distributions along the surface of the plate are also studied.

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About the authors

S. Т. Surzhikov

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences

Author for correspondence.
Email: surg@ipmnet.ru
Russian Federation, Moscow

References

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Supplementary files

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2. Fig. 1. Calculation scheme of the problem.

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3. Fig. 2. Pressure in the boundary layer, Torr (a), velocity component normal to the surface Vy = v/V∞ (b) and temperature, K in the boundary layer (c) at p = 0.6 Torr, M = 5, e = 1500 V.

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4. Fig. 3. Electron concentration ZE = ne/n0 at p = 0.6 Torr, M = 5, e = 1500 V: (a) Bz = 0, (b) Bz = +0.01 T, (c) Bz = –0.01 T.

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5. Fig. 4. Concentration of ions ZI = ni/n0 at p = 0.6 Torr, M = 5, e = 1500 V: (a) Bz = 0, (b) Bz = +0.01 T, (c) Bz = –0.01 T.

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6. Fig. 5. Electric field strength modulus (Efield M = |E|) at p = 0.6 Torr, M = 5, e = 1500 V; (a) Bz = 0, (b) Bz = +0.01 T, (c) Bz = –0.01 T.

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7. Fig. 6. Vector of electric field strength near the cathode (a, c) and anode (b, d) at p = 0.6 Torr, e = 1500 V, M = 5: (a) Bz = +0.01 T, (b) Bz = –0.01 T, (c) Bz = +0.01 T, (d) Bz = –0.01 T.

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8. Fig. 7. Volume ionization rate at p = 0.6 Torr, M = 5, e = 1500 V: (a) Bz = 0, (b) Bz = +0.01 T, (c) Bz = –0.01 T.

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9. Fig. 8. Volumetric power of Joule heat release (QEJ = QJ) at p = 0.6 Torr, M = 5, e = 1500 V: (a) Bz = 0, (b) Bz = +0.01 T, (c) Bz = –0.01 T .

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10. Fig. 9. Pressure in the boundary layer, Torr (a), the velocity component normal to the surface Vy = v/V∞ (b) and temperature, K, in the boundary layer (c) at p = 0.6 Torr, M = 5, e = 1500 V, Bz = +0.01 T.

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11. Fig. 10. Distribution of pressure coefficients (solid curve) and friction at p = 0.6 Torr, M = 5, e = 1500 V; (a) Bz = +0.01 T, (b) Bz = –0.01 T.

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12. Fig. 11. Electron concentration (ZE = ne/n0) in an anomalous glow discharge at p = 5 Torr, M = 10, ε = 1000 V: Bz = +0.03 (a), Bz = –0.03 T (b).

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13. Fig. 12. Ion concentration (ZI = ni /n0) in an abnormal glow discharge at p = 5 Torr, M = 10, ε = 1000 V: Bz = +0.03 (a), Bz = –0.03 T (b).

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14. Fig. 13. The modulus of the electric field strength (Efield M = |E|) in an anomalous glow discharge at p = 5 Torr, M = 10, ε = 1000 V: Bz = +0.03 (a), Bz = –0.03 T (b).

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15. Fig. 14. Electric potential (FI = j/e) in an anomalous glow discharge and the vector field of electric field strength at p = 5 Torr, M = 10, ε = 1000 V: Bz = +0.03 (a), Bz = –0.03 T (b).

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16. Fig. 15. Joule heat release power (QEJ = QJ) in an abnormal glow discharge at p = 5 Torr, M = 10, ε = 1000 V: Bz = +0.03 (a), Bz = –0.03 T (b).

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17. Fig. 16. Pressure in the boundary layer in Torr (a) and temperature, K, in the boundary layer (b) at p = 5 Torr, M = 10, ε = 1000 V, Bz = –0.03 T.

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18. Fig. 17. Distribution of pressure coefficients (solid curve) and friction at p = 5 Torr, M = 10, e = 1000 V, Bz = –0.03 T.

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