Document Type

Article

Publication Date

2012

Publication Source

Physical Review E

Volume

86

Inclusive pages

066102

Peer Reviewed

yes

Abstract

We study reaction fronts described by the Kuramoto-Sivashinsky equation subject to a Poiseuille flow. The

fronts propagate with or against the flow located inside a two-dimensional slab. Steady front profiles can be flat,

axisymmetric, or nonaxisymmetric, depending on the gap between the plates and the average flow speed. We

first obtain the steady front solutions, later executing a linear stability analysis to determine the stability of the

fronts. Applying fluid flow can turn initially unstable fronts into stable fronts. Stable steady fronts propagating

in the adverse direction of the Poiseuille flow are axisymmetric for slow fluid flows. However, for higher speeds

an adverse flow can lead to stable nonaxisymmetric fronts. We also show regions of bistability where stable

nonaxisymmetric and axisymmetric fronts can coexist

Keywords

Fluid instabilities, reactive floew

Disciplines

Fluid Dynamics | Physics

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