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Pattern formation induced by a differential shear flow

L. Stucchi1,2 and Desiderio A. Vasquez2,3

  • 1Departamento Académico de Ingeniería, Universidad del Pacífico, Apartado 4683, Lima, Perú
  • 2Departamento de Ciencias, Sección Física, Pontificia Universidad Católica del Perú, Apartado 1761, Lima, Perú
  • 3Department of Physics, Indiana University–Purdue University Fort Wayne, Fort Wayne, Indiana 46805, USA

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Phys. Rev. E 87, 024902 – Published 21 February, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.024902

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.

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Outline

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Phys. Rev. E 87, 024902– Published 21 February, 2013
  • Received 19 April 2012

©2013 American Physical Society

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