2001/08/28 by Kirill A. Kazakov, Michael A. Liberman
Physics and Astronomy · #physics.flu-dyn #physics.class-ph
published as Combust. Sci. Tech. 174 (2002) 157-179 · RevTex, 16 pages, 2 figures
arxiv created 2001/08/28 · arxiv updated 2009/12/01
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.