Combustion, Explosion and Shock Waves

, Volume 28, Issue 4, pp 326–333 | Cite as

Bifurcation of steady combustion regimes and their influence on the onset of high-frequency oscillations in combustion chambers

  • M. S. Natanzon
  • O. M. Men'shikova
Article

Abstract

We theoretically analyze the mechanism for the onset of poorly reproducible high-frequency oscillations which are induced by combustion. We examine a model, which relates this phenomenon to the possible realization of two fundamentally different combustion regimes in the reverse-current zone. In connection with the combustion of two previously unmixed gases, we determine the means of operation of a mixing element, for which there can exist two combustion regimes for the same boundary conditions. These regimes differ essentially in their stability characteristics. The mathematical model takes into account the influence of chemical kinetics and turbulent mixing.

Keywords

Boundary Condition Combustion Mathematical Model Dynamical System Mechanical Engineer 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    D. T. Hare and F. G. Reardon (eds.), Combustion Instabilities of LPREs [Russian translation], Mir, Moscow (1975).Google Scholar
  2. 2.
    M. S. Natanzon, Combustion Instabilities [in Russian], Mashinostroenie, Moscow (1986).Google Scholar
  3. 3.
    Ya. B. Zel'dovich and V. V. Voevodskii, Thermal Explosion and Flame Propagation in Gases [in Russian], Moscow Institute of Mechanical Engineering, Moscow (1947), Part I.Google Scholar
  4. 4.
    L. A. Vulis, The Regime of Thermal Combustion [in Russian], State Scientific and Technical Publishers of Power-Engineering Literature, Moscow (1954).Google Scholar
  5. 5.
    B. N. Dubinkin, M. S. Natanzon, and A. E. Cham'yan, “On two combustion regimes in combustion chambers with recirculation zones,” Fiz. Goreniya Vzryva,14, No. 6, 3–11 (1978).Google Scholar
  6. 6.
    E. S. Shchetnikov, Physics of Gas Combustion [in Russian], Nauka, Moscow (1965).Google Scholar
  7. 7.
    G. N. Abramovich, Turbulent Jet Theory [in Russian], Fizmatgiz, Moscow (1960).Google Scholar
  8. 8.
    I. V. Merkulov, O. M. Men'shikova, and Z. S. Lapina, “A numerical model of the process of vibrational combustion,” Izv. Akad. Nauk SSSR, Énerget. Transport, No. 5, 140–148 (1990).Google Scholar
  9. 9.
    M. Habiballah, D. Lourme, and F. Pit, “A comprehensive model for combustion stability studies applied to the Ariane Viking engine,” AIAA Paper No. 86, 4–7 (1988).Google Scholar
  10. 10.
    M. S. Natanzon, “Phase-amplitude method of investigating vibrational combustion,” Izv. Akad. Nauk. SSSR, Énerget. Transport, No. 5, 138–140 (1981).Google Scholar
  11. 11.
    M. S. Natanzon, “Matrices of frequency characteristics for the combustion process,” Izv. Akad. Nauk SSSR, Énerget. Transport, No. 2, 110–119 (1983).Google Scholar
  12. 12.
    M. S. Natanzon, Z. S. Lapina, and I. V. Merkulov, “The stability of combustion in a combustion chamber,” Izv. Akad. Nauk. SSSR, Énerget. Transport, No. 4, 137–146 (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • M. S. Natanzon
  • O. M. Men'shikova

There are no affiliations available

Personalised recommendations