Skip to main content
SpringerLink
Log in

On hydrodynamic instability of the flame-wedge

  • Published:
Journal of Engineering Mathematics Aims and scope Submit manuscript

Abstract

The hydrodynamic stability of the premixed wedge-shaped flame involving a burned-gas stagnation zone is considered. It is shown that the Darrieus-Landau instability of the flame interface is reinforced by the Kelvin-Helmholtz instability of the stagnation-zone boundary.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. Darrieus, Propagation d'un front de flamme. Essai de théorie de vitesses anomales de déflagration par developpement spontané de la turbulence. Unpublished typescript of paper given at the Sixth International Congress of Applied Mechanics, Paris 1946; mentioned in G. Darrieus. La mécanique des fluides — quelques progrès récents. La Technique Moderne Supplément 31 (15) (1938) pp. 9–17.

    Google Scholar 

  2. L. D. Landau, On the theory of slow combustion. Acta Physicochim. URSS. 19 (1944) 77–85.

    Google Scholar 

  3. G. I. Sivashinsky, Nonlinear analysis of hydrodynamic instability in laminar flames, Part I. Derivation of basic equations. Acta Astronautica 4 (1977) 1177–1206.

    Google Scholar 

  4. G. I. Sivashinsky and P. Clavin, On the nonlinear theory of hydrodynamic instability in flames. J. Physique. 48 (1987) 193–198.

    Google Scholar 

  5. M. L. Frankel, An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows. Physics of Fluids A2 (1990) 1879–1883.

    Google Scholar 

  6. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability. Oxford: Oxford University Press (1961) 652pp.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. The Institute for Chemical Kinetics and Combustion, Russian Academy of Sciences, Siberian Branch, Novosibirski, 630090, Russia

    S.S. Minaev

  2. School of Mathematical Sciences, Tel Aviv University, Ramat-Aviv, Tel Aviv, 69978, Israel

    G.I. Sivashinsky

  3. The Benjamin Levich Institute for Physico-Chemical Hydrodynamics, City College of the City University of New York, NY, 10031, U.S.A

    G.I. Sivashinsky

Authors
  1. S.S. Minaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G.I. Sivashinsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Minaev, S., Sivashinsky, G. On hydrodynamic instability of the flame-wedge. Journal of Engineering Mathematics 31, 259–268 (1997). https://doi.org/10.1023/A:1004291528840

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004291528840

Search

Navigation