Abstract
A model of the cathode sheath of a glow discharge is developed. The model includes the equations for calculating the non-steady-state nonequilibrium physicochemical gas dynamics, cathode temperature, and electric field. The model applies to describing the flow of a viscous, heat-conducting, moderately rarefied gas at Knudsen numbers of about Kn ∼0.03. The electric field and gas density distributions are determined consistently by renormalizing the values obtained by the Engel-Steenbeck theory. A formula for calculating the time during which a homogeneous volume discharge phase exists is proposed. The formula is based on the relation between the rates of electron production via associative ionization (A+B → AB ++e) and impact ionization (A2+e → A +2 +e+e). Calculations are carried out for nitrogen and air. It is shown that, at high current densities, due to the dissociation and strong heating of the gas, the rate of thermal ionization becomes as high as that of electrical ionization. The calculated ionization time is in reasonable agreement with the measured duration of a uniform anomalous cathode sheath.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. Yu. Baranov, V. M. Borisov, and Yu. Yu. Stepanov, Inert-Gas Halogenide Electric-Discharge Excimer Lasers (Énergoatomizdat, Moscow, 1988).
R. B. Baksht, Yu. D. Korolev, and G. A. Mesyats, Fiz. Plazmy 3, 653 (1977) [Sov. J. Plasma Phys. 3, 369 (1977)].
Yu. D. Korolev and G. A. Mesyats, The Physics of Pulsed Gas Breakdown (Nauka, Moscow, 1991).
Yu. S. Akishev, A. P. Napartovich, S. V. Pashkin, et al., Teplofiz. Vys. Temp. 22, 201 (1984).
P. Delaporte, B. Fontaine, B. Forestier, and M. Sentis, in Proceedings of the 8th SPIE Gas Flow and Chemical Lasers Symposium, Bellingham, 1990; Proc. SPIE 1397, 485 (1990).
S. Kosugi, K. Maeno, and H. Honma, Jpn. J. Appl. Phys. 32, 1480 (1993).
G. Schroder, J. Haferkamp, and W. Botticher, J. Appl. Phys. 78, 4859 (1995).
V. M. Fomin, I. V. Shaimova, and V. A. Shveigert, in Proceedings of the II All-Union Conference on Physics of Gas Breakdown, Tartu, 1984, p. 178.
S. A. Smirnov, Preprint No. P-0918, NIIÉFA (TsNIIFTOMINFORM, Moscow, 1993).
G. A. Baranov and S. A. Smirnov, in Proceedings of the XII International Symposium on Gas Flow and Chemical Lasers and High-Power Laser Conference; Proc. SPIE 3574, 820 (1998).
V. V. Osipov, Usp. Fiz. Nauk 170, 225 (2000).
G. A. Baranov and S. A. Smirnov, Zh. Tekh. Fiz. 69(11), 49 (1999) [Tech. Phys. 44, 1305 (1999)].
S. A. Losev, V. N. Makarov, and M. Yu. Pogosbekyan, Mekh. Zhidk. Gaza, No. 2, 169 (1995).
E. W. McDaniel and E. A. Mason, The Mobility and Diffusion of Ions in Gases (Wiley, New York, 1973; Mir, Moscow, 1976).
S. A. Smirnov and G. A. Baranov, Zh. Tekh. Fiz. 71(7), 39 (2001) [Tech. Phys. 46, 825 (2001)].
Yu. P. Raizer, Gas Discharge Physics (Nauka, Moscow, 1987; Springer-Verlag, Berlin, 1991).
V. E. Golant, A. P. Zhilinskii, and S. A. Sakharov, Fundamentals of Plasma Physics (Atomizdat, Moscow, 1977; Wiley, New York, 1980).
I. V. Abalkin and B. N. Chetverushin, Mat. model. 4(11), 19 (1992).
Yu. V. Lapin and M. Kh. Strelets, Internal Flows of Gas Mixtures (Nauka, Moscow, 1989).
H. Raether, Electron Avalanches and Breakdown in Gases (Butterworths, London, 1964; Mir, Moscow, 1968).
S. A. Losev, A. L. Sergievskaya, V. D. Rusanov, et al., Dokl. Akad. Nauk 346, 192 (1996).
Author information
Authors and Affiliations
Additional information
__________
Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 71, No. 7, 2001, pp. 30–38.
Original Russian Text Copyright © 2001 by Smirnov, Baranov.
Rights and permissions
About this article
Cite this article
Smirnov, S.A., Baranov, G.A. Gas dynamics and thermal-ionization instability of the cathode region of a glow discharge. Part I. Tech. Phys. 46, 815–824 (2001). https://doi.org/10.1134/1.1387540
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1387540