Abstract
A two-dimensional model is suggested of dc glow discharge with parallel electrodes. The model includes equations for electron and ion concentrations, which are related to the Poisson equation for electric potential. The collision ionization and electron-ion recombination are described using empirical relations. Processes of vibrational excitation of N2 molecules are considered. The vibrational kinetics of nitrogen are described in view of excitation by electron impact, vibrational exchange, and vibrational-translational relaxation. The finite-difference model used for solving kinetic equations is described. Results are obtained for a two-dimensional model of glow discharge in nitrogen at a pressure of 5 torr and an emf of 2000 V. The obtained fields of distribution of electron temperature and populations of vibrational levels of nitrogen are analyzed. The results enable one to estimate the fraction of electric field energy utilized for the excitation of vibrational states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Shang, J.S. and Surzhikov, S.T., J. Comput. Phys., 2004, vol. 199, p. 437.
Surzhikov, S. and Shang, J., Numerical Simulation of Subsonic Gas Flows with Glow Discharge and Magnetic Field, AIAA Paper 2003-3759, 2003.
Surzhikov, S.T. and Shang, J.S., Multi-Fluid Model of Weakly Ionized Electro-Negative Gas, AIAA-2004-2659.
Surzhikov, S.T. and Shang, J.S., Glow Discharge in Magnetic Field with Heating of Neutral Gas, AIAA Paper 2003-3654, 2003.
Brown, S.C., Basic Data of Plasma Physics, Cambridge, Mass.: MIT Press, 1959. Translated under the title Elementarnye protsessy v plazme gazovogo razryada, Moscow: Atomizdat, 1961.
Townsend, J.S. and Bailey, V.A., Philos. Mag., 1921, vol. 42, p. 874.
Gordiets, B.F., Osipov, A.I., and Shelepin, L.A., Kineticheskie protsessy v gazakh i molekulyarnye lazery (Kinetic Processes in Gases and Molecular Lasers), Moscow: Nauka, 1980.
Billing, G., in Nonequilibrium Vibrational Kinetics, Capitelli, M., Ed., Berlin: Springer, 1986, pp. 85–112. Translated under the title Neravnovesnaya kolebatel’naya kinetika, Moscow: Mir, 1989.
Schulz, G.J., Excitation of Molecules Vibrational States by Electron Impact at Low Energies, in Principles of Laser Plasma, Ch. II, Bekefi, G., Ed., New York: Wiley, 1976. Translated under the title Plazma v lazerakh Moscow: Energoizdat, 1982.
Rusanov, V.D. and Fridman, A.A., Fizika khimicheski aktivnoi plazmy (The Physics of Chemically Active Plasma), Moscow: Nauka, 1984.
Nagpal, R. and Garscadden, A., Contrib. Plasma Phys., 1995, vol. 35, no. 4–5, p. 301.
Khmara, D.V. and Kolesnichenko, Yu.F., Rate Constants of Electron-Neutral Collisions in Gas Discharge Plasma, Abstracts to the 4 th Workshop on Magnetoplasma Aerodynamics for Aerospace Applications, Moscow, 2002, p. 280.
Hirschfelder, J.O., Curtiss, C.F., and Bird, R.B., Molecular Theory of Gases and Liquids, New York: Wiley, 1954. Translated under the title Molekulyarnaya teoriya gazov i zhidkostei, Moscow: Inostrannaya Literatura, 1961.
Lapin, Yu.V. and Strelets, M.Kh., Vnutrennie techeniya gazovykh smesei (Internal Flows of Gas Mixtures), Moscow: Nauka, 1989.
Author information
Authors and Affiliations
Additional information
__________
Translated from Teplofizika Vysokikh Temperatur, Vol. 44, No. 6, 2006, pp. 814–822.
Original Russian Text Copyright © 2006 by A. S. Petrusev, S. T. Surzhikov, and J. S. Shang.
Rights and permissions
About this article
Cite this article
Petrusev, A.S., Surzhikov, S.T. & Shang, J.S. A two-dimensional model of glow discharge in view of vibrational excitation of molecular nitrogen. High Temp 44, 804–813 (2006). https://doi.org/10.1007/s10740-006-0097-9
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10740-006-0097-9