Expanding Flames May Delay the Transition to Cellular Structures

descriptionPublicationkeyboard_double_arrow_right Article 01 Aug 1984 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Applied Mathematics, volume 44, pages 734-744 (issn: 0036-1399, eissn: 1095-712X,

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Authors: Matalon, Moshe; Erneux, Thomas;

doi: 10.1137/0144052

Expanding Flames May Delay the Transition to Cellular Structures

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Abstract

We derive a general equation for the evolution of flame fronts in weakly nonuniform flows. The equation is restricted to a particular range of Lewis numbers and describes the transition to cellular structures. This transition is analyzed for an expanding curved flame. Linear stability reveals that cells may appear at a larger radius than for the nonexpanding case. We also present a nonlinear analysis describing the transition for slowly varying flames.

Keywords

transition to cellular structures, evolution of flame fronts, Reaction effects in flows, bifurcation, weakly nonuniform flows, expanding curved flame, Chemically reacting flows

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