Abstract
Ionization relaxation in a shock wave of very large amplitude is considered, the atoms behind the front of the shock wave being multiply ionized. In calculating the structure of the shock wave and the kinetics of ionization, allowance is made for the electron component of the thermal conductivity which plays an important role in this. A simplified method of calculating the kinetics of multiple ionization is proposed, and an application of this method is presented. The results of the structure calculation show that, as a result of heating by thermal conduction, the gas is considerably ionized even in front of the jump in compression, while the electron component of the thermal conductivity passes through a maximum.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Gas-Dynamic Phenomena [in Russian], Nauka, Moscow (1966).
D. L. Chubb, “Ionizing shock structure in a monatomic gas,” Phys. Fluids,11, No. 11 (1968).
V. A. Bronshtén and A. N. Chigorin, “Establishment of equilibrium ionization and temperature in a strong shock wave in air,” Teplofiz. Vys. Temp.,2, No. 6 (1964).
V. A. Bronshtén, “Equations of the kinetics of ionization in a strong shock wave in air,” Geomag. i Aéronomiya,3, No.3 (1963).
V. A. Bronshtén, Problems of the Motion of Large Meteors in the Atmosphere [in Russian], Izd. AN SSSR, Moscow (1963).
M. Y. Jaffrin and R. F. Probstein, “Structure of a plasma shock wave,” Phys. Fluids,7, No. 10 (1964).
M. Y. Jaffrin, “Shock structure in a partially ionized gas,” Phys. Fluids,8, No. 4 (1965).
N. M. Kuznetsov, Thermodynamic Functions and Shock Adiabatics of Air at High Temperatures [in Russian], Mashinostroenie, Moscow (1965).
Yu. P. Raizer, “Simple method of estimating the degree of ionization and thermodynamic functions of an ideal gas in the region of multiple ionization,” Zhur. Éksp. Teor. Fiz.,36, No. 5 (1959).
M. Seaton, “Theory of excitation and ionization by electron impact,” in: Atomic and Molecular Processes [Russian translation], Mir, Moscow (1964).
F. R. Gantmakher, Theory of Matrices [in Russian], Nauka, Moscow (1966).
V. V. Nemytskii and V. V. Stepanov, Qualitative Theory of Differential Equations [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
J. W. Reyn, “Classification and description of the singular points of a system of three linear differential equations,” Z. Angew. Math, und Phys.,15, No. 5, 540 (1964).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhnika i Tekhnicheskoi Fiziki, No. 5, pp. 11–21, September–October, 1970.
Rights and permissions
About this article
Cite this article
Magretova, N.N., Pashchenko, N.T. & Raizer, Y.P. Structure of a shock wave in which multiple ionization of the atoms is taking place. J Appl Mech Tech Phys 11, 716–725 (1970). https://doi.org/10.1007/BF00851895
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00851895