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Pinning and mode-locking of reaction fronts by vortices
Affiliation:1. Laboratory of Geotechnics, Ghent University, Zwijnaarde 9052, Belgium;2. Department of Civil and Environmental Engineering, Bucknell University, Lewisburg, PA 17837, United States;3. ARM Group Inc., 9175 Guilford Rd, Suite 310, Columbia, MD 20146, United States
Abstract:We present results of experiments on the behavior of reaction fronts in the presence of vortex-dominated flows. The flow is either a single vortex or a chain of vortices in an annular configuration, and the reaction is the excitable Belousov–Zhabotinsky chemical reaction. If the vortex chain oscillates periodically in the lateral direction, the reaction front often mode-locks to the oscillations, propagating an integer number of wavelengths of the flow (two vortices) in an integer number of drive periods. In the presence of a uniform “wind”, the front often freezes, remaining pinned to the leading vortex and neither propagating forward against the wind nor being blown backward by it. Studies with an individual vortex verify the ability of a moving vortex to pin and drag a reaction front. We use this pinning behavior to explain the mode-locking for the oscillating case.
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