Session QU: Reacting Flows V

12:50 PM–2:47 PM, Tuesday, November 23, 2010
Hyatt Regency Long Beach Room: Regency A

Chair: David Kessler, Naval Research Laboratory

Abstract ID: BAPS.2010.DFD.QU.5

Abstract: QU.00005 : Burning manifolds and burning lobes

1:42 PM–1:55 PM

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  Mark Kingsbury
    (Bucknell University)

  Tom Solomon
    (Bucknell University)

We present experimental studies of the propagation of a reaction front in a fluid flow composed of a chain of alternating vortices. We propose that the tools used to describe the transport of a {\em passive} impurity in a flow can be expanded to account for the behavior of a reaction front. In particular, we propose that motion of a reaction front from one region to another in the flow is determined by {\em burning manifolds} and {\em burning lobes}. These ideas are tested experimentally for both the time-independent and time-dependent vortex chain. For a time-independent flow, the time that it takes for a triggered reaction to propagate from one vortex to the next is the minimum time $\tau$ for the stable burning manifold $B_S(\tau)$ to envelope the original trigger point. For a time-dependent (oscillatory) vortex chain, we use the burning manifold/lobe framework to explain mode-locking behavior seen in earlier studies.\footnote{M.S. Paoletti and T.H. Solomon, Europhys. Lett. {\bf 69}, 819 (2005); Phys. Rev. E {\bf 72}, 046204 (2005).}

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