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The structure of flame filaments in chaotic flows
journal contribution
posted on 2023-06-08, 04:43 authored by Istvan Kiss, J H Merkin, S K Scott, P L Simon, S Kalliadasis, Z NeufeldThe 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.
History
Publication status
- Published
Journal
Physica D: Nonlinear PhenomenaISSN
0167-2789Publisher
ElsevierExternal DOI
Issue
1-2Volume
176Page range
67-81Pages
15.0Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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