Title

Stability of Kuramoto-Sivashinsky Fronts in Moving Fluid

Document Type

Article

Publication Date

2014

Publication Source

European Physics Journal Special Topics

Volume

223

Issue

13

Inclusive pages

3001-3010

DOI

http://dx.doi.org/10.1140/epjst/e2014-02313-9

Publisher

Springer-Verlag

Peer Reviewed

yes

Abstract

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

Keywords

Hydrodynami instabilities, Reaction fronts

Disciplines

Fluid Dynamics | Physics

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