Abstract
A method is presented for averaging the radiation transfer equations for a nonequilibrium plasma of plane geometry. The averaging of transfer difference equations is carried out separately for each spectral line and for groups of a continous spectrum. A difference scheme is obtained for one-sided radiation fluxes. Averaging coefficients are defined, characterizing absorption and emission of radiation by a cell of the difference scheme.
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Literature Cited
I. V. Nemchinov, Prikl. Mat. Mekh.,34, No. 4, 706–722 (1970).
I. V. Nemchinov, “Averaging radiation transfer equations in problems of radiation gas dynamics,” Manuscript deposited in All-Union Institute of Scientific and Technical Information (VINITI) 05.04.83, No. 1721-83, Moscow (1983).
B. I. Chetverushkin, Mathematical Modelling of Problems of a Radiating Gas [in Russian], Moscow (1985).
A. P. Golub', Zh. Vychisl. Mat. Mat. Fiz.28, No. 1, 142–151 (1983).
A. P. Golub', “Averaging equations of kinetics and radiation transfer in one-dimensional problems of nonequilibrium radiation gas dynamics,” Manuscript deposited in All-Union Institute of Scientific and Technical Information (VINITI) 04.12.90, No. 6094-VDO.
V. Ya. Gol'din and V. A. Degtyarev, Program and Report of Vth Conference on Dynamics of a Radiating Gas [in Russian] Moscow (1983).
A. V. Shil'kov, “Mathematical model for describing a nonequilibrium radiating plasma,” Preprint of Insitute of Applied Mathematics, Acad. Sci. USSR, No. 125, Moscow (1988).
D. Mostacci, L. M. Montierth, J. P. Dinguirard, and R. L. Morse, Phys. Fluids B,1, No. 10, 2106–2120 (1989).
B. I. Derzhiev, A. G. Zhidkov, and S. I. Yakovlenko, Radiation from Ions in a Nonequilibrium Dense Plasma [in Russian], Moscow (1986).
L. A. Vainshtein, I. I. Sobel'man, and Yu. A. Yukov, Excitation of Atoms and Broadening of Spectral Lines [in Russian], Moscow (1979).
D. Mikhalas, Star Atmospheres [in Russian], Vols. 1 and 2, Moscow (1987).
A. A. Samarskii and Yu. P. Popov, Difference Methods of Solving Problems of Gas Dynamics [in Russian], Moscow (1980).
L. M. Biberman, Zh. Éksp. Teor. Fiz.,17, No. 5, 416–426 (1947);19, No. 7, 584–590 (1949).
T. Holstein, Phys. Rev.,72, No. 12, 1212–1233 (1947); D. Alpert, A. O. Coubrey, and T. Holstein, Phys. Rev.,76, No. 8, 1257–1259 (1949).
V. A. Abramov, V. I. Kogan, and V. S. Lisitsa, in: Problems of the Theory of Plasmas [in Russian], No. 12, Moscow (1982), pp. 114–155.
G. B. Rybicki, JQSRT,11, No. 6, 589–595 (1971).
J. P. Apruzese, J. Davis, D. Duston, and K. G. Whitney, JQSRT,23, No. 5, 479–488 (1980).
Additional information
Institute of Geosphere Dynamics, Academy of Sciences of the USSR, Moscow. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 62, No. 4, pp. 591–600, April, 1992.
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Kosarev, I.B. Method of averaging the radiation transfer equations for a nonequilibrium plasma of plane geometry. J Eng Phys Thermophys 62, 431–439 (1992). https://doi.org/10.1007/BF00854960
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DOI: https://doi.org/10.1007/BF00854960