Document Type

Article

Publication Date

2013

Publication Source

Physical Review E

Volume

87

Inclusive pages

024902

Peer Reviewed

yes

Abstract

Fluid flow advecting one substance while others are immobilized can generate an instability in a homogeneous

steady state of a reaction-diffusion-advection system. This differential-flow instability leads to the formation of

steady spatial patterns in a moving reference frame. We study the effects of shear flow on this instability by

considering two layers of fluid moving independently from each other, but allowing the substances to diffuse along

and across the layers.We find that shear flow can generate instabilities even if the average flow velocity is zero for

both substances. These instabilities are strongly dependent on which substance is advected by the shear flow.We

explain these effects using the results of Taylor dispersion, where an effective diffusivity is enhanced by shear flow.

Keywords

Patter formation, reactive fluids

Disciplines

Biological and Chemical Physics | Fluid Dynamics | Physics

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