Nonlinear Theory of Flame Front Instability

Details Nonlinear Theory of Flame Front Instability Nonlinear Theory of Flame Front Instability

2001-08-28

arxiv.org/abs/physics/0108057v1

Combust. Sci. Tech. 174 (2002) 157-179

Physics

Fluid Dynamics

RevTex, 16 pages, 2 figures

Scientific paper

Nonlinear non-stationary equation describing evolution of weakly curved premixed flames with arbitrary gas expansion, subject to the Landau-Darrieus instability, is derived. The new equation respects all the conservation laws to be satisfied across the flame front, as well as correctly takes into account influence of vorticity, generated in the flame, on the flame front structure and flame velocity. Analytical solutions of the derived equation are found.

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