Invariant barriers to reactive front propagation in fluid flows

Details Invariant barriers to reactive front propagation in fluid flows Invariant barriers to reactive front propagation in fluid flows

2011-08-04

arxiv.org/abs/1108.1142v3

Physics

Fluid Dynamics

6 pages, 8 figures Comments: Added 1 figure, and discussion. Results unchanged

Scientific paper

We present theory and experiments on the dynamics of reaction fronts in two-dimensional, vortex-dominated flows, for both time-independent and periodically driven cases. We find that the front propagation process is controlled by one-sided barriers that are either fixed in the laboratory frame (time-independent flows) or oscillate periodically (periodically driven flows). We call these barriers \emph{burning invariant manifolds} (BIMs), since their role in front propagation is analogous to that of invariant manifolds in the transport and mixing of passive impurities under advection. Theoretically, the BIMs emerge from a dynamical systems approach when the advection-reaction-diffusion dynamics is recast as an ODE for front element dynamics. Experimentally, we measure the location of BIMs for several laboratory flows and confirm their role as barriers to front propagation.

Affiliated with

Also associated with

No associations

Rating

Invariant barriers to reactive front propagation in fluid 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 Invariant barriers to reactive front propagation in fluid flows, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant barriers to reactive front propagation in fluid flows will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-14938