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Planar gas flows with weak energy supply

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Abstract

Perfect gas flows in an unlimited space, which occur during rectilinear motion of a system of distributed heat sources, are investigated. The next modes in order of growth of the number M are examined: the heat conductive, convective, subsonic, transonic, supersonic, hypersonic. Examples of computations are presented. Flows with distributed heat sources attract ever-increasing attention. Such flows are important, e.g., in the problem of radiation propagation [1–5], in the analysis of a gasdynamic laser resonator and the optical characteristics of a ray [6]. Changes in the density because of absorption of the ray energy, which can result in an essential redistribution of the radiation intensity, are of great interest in these problems. Theoretical investigations of a general nature with distributed heat supply [7–10] are also important for the development of further applications. Gas flows for a given distribution of relatively weak heat sources switched on at a certain time are examined in this paper.

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Literature cited

  1. J. Wallace and M. Camac, “Effects of absorption at 10.6 μ on laser-beam transmission,” J. Opt. Soc. Am.,60, No. 12 (1970).

  2. F. G. Gebhardt and D. C. Smith, “Self-induced thermal distortion in the near field for a laser beam in a moving medium,” IEEE J. Quant. Electron.,7, No. 2 (1971).

  3. J. Wallace and J. Q. Lilly, “Thermal blooming of repetitively pulsed laser beams,” J. Opt. Soc. Am.,64, No. 12 (1974).

  4. J. W. Ellinwood and H. Mirels, “Density perturbations in transonic sluing laser beams,” Appl. Optics,14, No. 9 (1975).

  5. J. Wallace and J. Pasciak, “Thermal blooming of a rapidly moving laser beam,” Appl. Optics,15, No. 1 (1976).

  6. O. Biblarz and A. E. Fahs, “Laser cavity density changes with kinetics of energy release,” AIAA J.,12, No. 8 (1974).

  7. A. E. Fuhs, “Quasiarea rule for heat addition in transonic and supersonic flight regimes,” Air Force Aero Propulsion Lab., Tech. Rep. No. 10, Wright-Patterson Air Force Base, Ohio (1972).

    Google Scholar 

  8. M. N. Kogan and V. V. Mikhailov, “On self-similar solutions for energy liberation in a gas flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1974).

  9. J. Zierep, “Theory of flows in compressible media with heat addition,” AGARDograph, No. 191 (1974).

  10. E. G. Broadbent, “Flows with heat addition,” Prog. Aerospace Sci.,17, No. 2 (1976).

  11. R. Courant and D. Hilbert, Methods of Mathematical Physics [Russian translation], Vol. 2, Gostekhizdat, Moscow-Leningrad (1945).

    Google Scholar 

  12. V. A. Belokon', O. V. Rudenko, and R. V. Khokhlov, “Aerodynamic phenomena in the supersonic flow around a laser beam,” Akust. Zh.,23, No. 4 (1977).

  13. A. N. Kucherov, “Two-dimensional nonstationary gas flows with weak energy supply,” Uch. Zap. TsAGI,8, No. 4 (1977).

  14. M. N. Kogan, Rarefied Gas Dynamics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  15. V. A. Aleshkevich and A. P. Sukhorukov, “On the deviation of powerful light beams subjected to a wind in absorbing media,” Pis'ma Zh. Eksp. Teor. Fiz.,12, No. 2 (1970).

  16. V. V. Vorob'ev, “Self-focusing of a light beam in an absorbing medium moving at transonic speed,” Kvantovaya Elektron.,3, No. 3 (1976).

  17. E. M. Murman and J. D. Cole, “Calculation of plane steady transonic flows,” AIAA Paper No. 188 (1970).

  18. V. V. Sychev and A. S. Fonarev, “Inductionless wind tunnels for transonic investigations,” Uch. Zap. TsAGI,6, No. 5 (1975).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 95–102, September–October, 1978.

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Kogan, M.N., Kucherov, A.N., Mikhailov, V.V. et al. Planar gas flows with weak energy supply. Fluid Dyn 13, 711–717 (1978). https://doi.org/10.1007/BF01050235

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