Stability of Kuramoto-Sivashinsky Fronts in Moving Fluid
European Physics Journal Special Topics
We analyze the effects of an external Couette flow on reactions fronts described by the Kuramoto-Sivashinsky equation. The fronts propagate in a two-dimensional slab confined by two parallel plates moving in opposite directions. The fronts can propagate in the same direction or against the external flow. We obtain steady front solutions by solving numerically the nonlinear time-independent equations. A linear stability analysis determines the stability of the fronts. The fronts and their stability depend on the slab width and on the relative velocity between the plates. These parameters have the potential to modify unstable fronts into stable fronts. We compare our results with fronts developed under a Poiseuille flow
Hydrodynami instabilities, Reaction fronts
Fluid Dynamics | Physics
Desiderio A. Vasquez and P M. vilela (2014).
Stability of Kuramoto-Sivashinsky Fronts in Moving Fluid. European Physics Journal Special Topics.223 (13), 3001-3010. Springer-Verlag.