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Physics of Fluids / Volume 14 / Issue 10 / ARTICLES

Phys. Fluids 14, 3577 (2002); http://dx.doi.org/10.1063/1.1504448 (7 pages)

Potential model of a two-dimensional Bunsen flame

Bruno Denet

IRPHE, 49 rue Joliot Curie, BP 146, Technopole de Chateau Gombert, 13384 Marseille Cedex 13, France

(Received 6 February 2002; accepted 12 July 2002; published online 5 September 2002)

The Michelson–Sivashinsky equation, which models the nonlinear dynamics of premixed flames, has been recently extended to describe oblique flames. This approach was extremely successful to describe the behavior on one side of the flame, but some qualitative effects involving the interaction of both sides of the front were left unexplained. We use here a potential flow model, first introduced by Frankel, to study numerically this configuration. Furthermore, this approach allows us to provide a physical explanation of the phenomena occuring in this geometry by means of an electrostatic analogy. © 2002 American Institute of Physics.

© 2002 American Institute of Physics

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KEYWORDS and PACS

Keywords

flames, chemically reactive flow

PACS

  • 47.70.Fw

    Chemically reactive flows

  • 82.33.Vx

    Reactions in flames, combustion, and explosions

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1504448

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    G. Searby, J.M. Truffaut, and G. Joulin, "Comparison of experiments and a nonlinear model equation for spatially developing flame instability," Phys. Fluids 13, 3270 (2001)PHFLE6000013000011003270000001.

    M.L. Frankel, "An equation of surface dynamics modeling flame fronts as density discontinuities in potential flows," Phys. Fluids A 2, 1879 (1990)PFADEB000002000010001879000001.

    M.L. Frankel and G.I. Sivashinsky, "Fingering instability in nonadiabatic low Lewis number flames," Phys. Rev. E 52, 6154 (1995).

    S.I. Blinnikov and P.V. Sasorov, "Landau–Darrieus instability and the fractal dimension of flame fronts," Phys. Rev. E 53, 4827 (1996).

    B. Denet, "Frankel equation for turbulent flames in the presence of a hydrodynamic instability," Phys. Rev. E 55, 6911 (1997).


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