The structure of flame filaments in chaotic flows

Kiss, I Z, Merkin, J H, Scott, S K, Simon, P L, Kalliadasis, S and Neufeld, Z (2003) The structure of flame filaments in chaotic flows. Physica D: Nonlinear Phenomena, 176 (1-2). pp. 67-81. ISSN 0167-2789

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Abstract

The structure of flame filaments resulting from chaotic mixing within a combustion reaction is considered. The transverse profile of the filaments is investigated numerically and analytically based on a one-dimensional model that represents the effect of stirring as a convergent flow. The dependence of the steady solutions on the Damkohler number and Lewis number is treated in detail. It is found that, below a critical Damkohler number Da(crit), the flame is quenched by the flow. The quenching transition appears as a result of a saddle-node bifurcation where the stable steady filament solution collides with an unstable one. The shape of the steady solutions for the concentration and temperature profiles changes with the Lewis number and the value of Da(crit) increases monotonically with the Lewis number. Properties of the solutions are studied analytically in the limit of large Damkohler number and for small and large Lewis number.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Istvan Kiss
Date Deposited: 06 Feb 2012 20:02
Last Modified: 15 May 2012 13:18
URI: http://sro.sussex.ac.uk/id/eprint/23686
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