Boundary-mediated stabilization of a scroll ring in a tubular reactor

Abstract:

It is known, that the scroll ring solutions to the Complex Ginzburg-Landau-equation have positive filament tension leading to the shrinking and disappearance of the ring. We utilize the fact, that the core of a two-dimensional spiral wave can be locked by the interaction with a Neumann boundary. It is shown, that a scroll ring in a tubular reactor can be stabilized due to interaction with the wall, preventing the shrinking of the scroll ring. The minimal radius of cylinder needed to get the robust stable scroll ring is defined.