Abstract
The propagation of a plane heating and ionization wave through a gas is considered; the wave is sustained by a strong flow of monochromatic optical radiation (traveling in the opposite direction) through energy transfer attributable to the emission of a continuous spectrum. In the range of radiation flux densities under consideration, a situation arises in which the expanding hot layer generates a shock wave transparent to the incident radiation. The radiation wave is subsonic. The pressure within the hot layer is smoothly distributed, so that its parameters may be determined by considering the equations of energy and transport of the monochromatic source radiation and the radiative-transfer equations for various frequencies and directions. The true spectral composition and distribution of the radiation are considered in detail, using refined tables of the thermodynamic and optical properties. The results of numerical calculations relating to air are presented; so are certain details of the methods used in averaging the transfer equations, which prove very efficient for the radiation-gasdynamic problem under consideration and greatly reduce the volume of calculations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
N. G. Basov and O. N. Krokhin, “Conditions for the heating of plasma by radiation from a laser,” Zh. Eksp. Teor. Fiz.,46, No. 1, 171–175 (1964).
G. G. Vilenskaya and I. V. Nemchinov, “Numerical calculation of the motion and laser-radiation heating of plasma formed by a flash of absorption in the vapor of a solid,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 6, 3–19 (1960).
I. V. Nemchinov and S. P. Popov, “Time for the onset of screening at a surface evaporating under the action of laser radiation,” ZhEFT, Pis. Red.,11, No. 9, 459–462 (1970).
I. V. Nemchinov and S. P. Popov, “Screening of a surface evaporating under the influence of laser radiation in the presence of temperature and ionization imbalance,” Zh. Prikl. Mekhan. Tekh. Fiz., No. 5, 35–45 (1971).
Yu. P. Raizer, “Heating of gas under the action of a powerful light pulse,” Zh. Eksp. Teor. Fiz.,48, No. 5, 1508–1519 (1965).
Yu. P. Raizer, “Breakdown and heating of gases under the influence of a laser beam,” Usp. Fiz. Nauk,87, No. 1, 29–63 (1965).
S. A. Ramsden and P. Savic, “A radiative detonation model for the development of a laser-induced spark in air,” Nature,203, No. 4951, 1217–1219 (1964).
F. V. Bunkin, V. I. Konov, A. M. Prokhorov, and V. B. Fedorov, “Laser spark in the slow-burning mode,” ZhETF, Pis, Red.,9, No. 11, 609–612 (1969).
N. A. Generalov, V. P. Zimakov, G. I. Kozlov, V. A. Masyukov, and Yu. P. Raizer, “Continuous burning optical discharge,” ZhETF, Pis. Red.,11, No. 9, 447–449 (1970).
Yu. P. Raizer, “Subsonic propagation of a light spark and threshold conditions for sustaining plasma by radiation,” Zh. Eksp. Teor. Fiz.,58, No. 6, 2127–2138 (1970).
B. V. Mul'chenko, Yu. P. Raizer, and V. A. Epshtein, “Study of a high-pressure laser spark ignited by an external plasma source,” Zh. Eksp. Teor. Fiz.,59, No. 6 (12), 1975–1982 (1970).
N. A. Generalov, V. P. Zimakov, G. I. Kozlov, V. A. Masyukov, and Yu. P. Raizer, “Experimental study of continuously burning optical discharges,” Zh. Eksp. Teor. Fiz.,61, No. 4 (10), 1434–1446 (1971).
V. Ya. Gol'din, “Quasidiffusion method of solving the kinetic equation,” Zh. Vychisl. Matem. Matem. Fiz.,4, No. 6, 1078–1087 (1964).
T. A. Germogenova and T. A. Sushkevich, “Solution of the transport equation by the average-flow method,” in: Physics of Reactor Shielding.No. 3 [in Russian], Atomizdat, Moscow (1969), p. 34.
V. Ya. Gol'din, G. V. Danilova, and V. N. Chetverushkin, “Approximate method of solving a transient kinetic equation,” In: Computing Methods in Transport Theory [in Russian], Atomizdat, Moscow (1969), pp. 50–58.
I. V. Nemchinov, “Averaged equations of radiation transfer and their use in solving gasdynamic problems,” Prikl. Matem. Mekhan.,34, No. 4, 706–721 (1970).
V. Ya. Gol'din and B. N. Chetverushkin, “Methods of solving one-dimensional problems of radiation gasdynamics,” Zh. Vychisl. Matem. Matem. Fiz.,12, No. 4, 991–1000 (1972).
N. M. Kuznetsov, Thermodynamic Functions and Shock Adiabatics of Air at High Temperatures [in Russian], Mashinostroenie, Moscow (1965).
I. V. Avilova, L. M. Biberamn, V. S. Vorob'ev, V. M. Zamalin, G. A. Kobzev, A. N. Lagar'kov, A. Kh. Mnatsakanyan, and G. E. Norman, Optical Properties of Hot Air [in Russian], Nauka, Moscow (1970).
P. P. Volosevich, S. P. Kurdyumov, and E. I. Levanov, “Various modes of thermal heating in the interaction of powerful radiation sources with matter,” Zh. Trikl. Mekhan. Tekh. Fiz., No. 5, 41–48 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 22–34, July–August, 1974.
The authors wish to thank Yu. P. Vysotskii and V. A. Nuzhnyi for presenting additional results of absorption-coefficient calculations.
Rights and permissions
About this article
Cite this article
Bergel'son, V.I., Loseva, T.V. & Nemchinov, I.V. Numerical calculation of the propagation of a plane subsonic radiation wave through a gas in opposition to a flow of light radiation. J Appl Mech Tech Phys 15, 455–464 (1974). https://doi.org/10.1007/BF00864721
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00864721