Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2002-10-31
Nonlinear Sciences
Chaotic Dynamics
17 pages, 13 figures, to be published in Physica D
Scientific paper
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.
Kalliadasis Serafim
Kiss Istvan Zoltan
Merkin J. H.
Neufeld Zoltan
Scott Kimberly S.
No associations
LandOfFree
The structure of flame filaments in chaotic flows does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The structure of flame filaments in chaotic flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of flame filaments in chaotic flows will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-578490