Issues

 / 

1996

 / 

June

  

Reviews of topical problems


Stability problems in a nonequilibrium gas

,
Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

We consider the stability problem for a plane gas layer whose nonequilibrium state is maintained by pumping energy into the molecular vibrational degrees of freedom and by heat removal through the walls. Two approaches to the study of gas stability are discussed, which consider the evolution of small hydrodynamic perturbations and thermal explosion. We have studied in detail the Rayleigh-Benard problem of convection instability and the Semenov-Frank-Kamenetskii problem of thermal explosion, and generalised them to the case of a nonequilibrium gas. Some unsolved problems of the physical hydrodynamics of a nonequilibrium gas have been outlined as well.

Fulltext pdf (569 KB)
Fulltext is also available at DOI: 10.1070/PU1996v039n06ABEH000150
PACS: 47.20.−k, 51.90.+r (all)
DOI: 10.1070/PU1996v039n06ABEH000150
URL: https://ufn.ru/en/articles/1996/6/c/
A1996UZ88800003
Citation: Osipov A I, Uvarov A V "Stability problems in a nonequilibrium gas" Phys. Usp. 39 597–608 (1996)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Осипов А И, Уваров А В «Неравновесный газ: проблемы устойчивости» УФН 166 639–650 (1996); DOI: 10.3367/UFNr.0166.199606c.0639

References (35) ↓ Cited by (14) Similar articles (20)

  1. Semenov N N Sovremennoe Uchenie o Skorostyakh Gazovykh Khimicheskikh Reaktsii (Modern Theory of Rates of Chemical Gas Reactions, Moscow: Gosizdat, 1929)
  2. Frank-Kamenetskii D A Diffusion and Heat Transfer in Chemical Kinetics (New York: Plenum Press, 1969)
  3. Hydrodynamic Instabilities and the Transition to Turbulence (Eds H’Swinney, J Gollub , Heidelberg: Springer, 1981) [Translated into Russian (Moscow: Mir, 1984)]
  4. Zarembo L K, Krasil’nikov V A Vvedenie v Nelineinuyu Optiku (Introduction to Nonlinear Optics, Moscow: Nauka, 1966)
  5. Tsendin L D Zh. Tekh. Fiz. 35 1972 (1965) [Sov. Phys. Tech. Phys. 10 11 (1966)]
  6. Ingard U Phys. Rev. 145 41 (1966)
  7. Osipov A I, Uvarov A V Usp. Fiz. Nauk 162 (11) 1 (1992) [Sov. Phys. Usp. 35 903 (1992)]
  8. Kol’tsova E V, Osipov A I, Uvarov A V Akust. Zh. 40 969 (1994) [Sov. Phys. Acoustics 40 859 (1994)]
  9. Haas R A Phys. Rev A 8 1017 (1973)
  10. Kulaga E V et al. Preprint Phys. Dept. Lomonosov State Univ., Moscow, 16/1995 (Moscow, 1995)
  11. Kogan E Ya, Mal’nev V N Zh. Tekh. Fiz. 47 653 (1977) [Sov. Phys. Tech. Phys. 22 391 (1977)]
  12. Raizer I P Gas Discharge Physics (Berlin, New York: Springer Verlag, 1991)
  13. Aleksandrov N L et al. Fiz. Plazmy 16 862 (1990)
  14. Gershuni G Z, Zhukhovitskii E M, Nepomnyashchii A A Ustoichivost’ Konvektivnykh Techenii (Stability of Convective Flows, Moscow: Nauka, 1989)
  15. Cordon R, Velarde M G J. Phys. (Paris) 36 591 (1975)
  16. Velarde M G, Cordon R J. Phys. (Paris) 37 177 (1976)
  17. Landau L D, Lifshitz E M Hydrodynamics, 2nd ed. (New York: Pergamon Press, 1970)
  18. Uvarov A V et al. Khim. Fiz. 13 217 (1994)
  19. Eletskii A V, Starostin A N Fiz. Plazmy 2 838 (1976)
  20. Eletskii A V, Rakhimov A T `Instabilities in the Gas Discharge Plasma’ in Khimiya Plazmy (Plasma Chemistry) Vol. 4 (Ed. B M Smirnov, Moscow: Atomizdat, 1977)
  21. Margolin A D, Shmelev V M Fiz. Goreniya i Vzryva (1) 52 (1978)
  22. Margolin A D, Shmelev V M Khim. Fiz. 1 679 (1982)
  23. Shmelev V M, Margolin A D Khim. Fiz. 2 1480 (1983) [Sov. J. Chem. Phys. 2 2452 (1985)]
  24. Shmelev V M, Margolin A D Khim. Fiz. 4 873 (1985) [Sov. J. Chem. Phys. 4 1429 (1987)]
  25. Oraevskii A N, Protsenko I E Kvant. Elektron. 12 2290 (1985) [Sov. Phys. Quantum Electron. (1985)]
  26. Oraevskii A N, Protsenko I E Trudy FIAN 187 144 (1988)
  27. Shmelev V M, Margolin A D Khim. Fiz. 6 609 (1987)
  28. Baklashova V E, Gordiets B F, Osipov A I Vestnik MGU, Ser. Fiz. Astronom. 34 57 (1993)
  29. Shmelev V M Khim. Fiz. 8 1203 (1989)
  30. Shmelev V M, Evtyukhin A V, Margolin A D Khim. Fiz. 8 318 (1989)
  31. Shmelev V M, Zakharov V I, Nesterenko A I Opt. Atmosfery 2 597 (1989)
  32. Novobrantsev I V, Starostin A N Prikl. Mat. i Tekh. Fiz. (2) 164 (1974)
  33. Novobrantsev I V, Starostin A N Teplofiz. Vys. Temp. 13 24 (1975) [High Temeprature 13 20 (1975)]
  34. Khimicheskaya Kinetika i Tsepnye Reaktsii (Chemical Kinetics and Chain Reactions, Moscow: Nauka, 1966)
  35. Klimontovich Yu L Turbulentnoe Dvizhenie i Structura Khaosa. Novyi Podkhod k Statisticheskoi Teorii Otkrytykh Sistem (Turbulent Flow and Chaos Structure. New Approach to the Statistical Theory of Open Systems, Moscow: Nauka, 1990)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions