Document Type

Article

Publication Date

2004

Publication Source

Journal of Chemical Physics

Volume

121

Issue

2

Inclusive pages

935-941

ISBN/ISSN

00219606

Peer Reviewed

yes

Abstract

Autocatalytic chemical fronts of the chlorite-tetrathionate ~CT! reaction become buoyantly unstable when they travel downwards in the gravity field because they imply an unfavorable density stratification of heavier products on top of lighter reactants. When such a density fingering instability occurs in extended Hele-Shaw cells, several fingers appear at onset which can be characterized by dispersion relations giving the growth rate of the perturbations as a function of their wave number. We analyze here theoretically such dispersion curves comparing the results for various models obtained by coupling Darcy’s law or Brinkman’s equation to either a one-variable reaction-diffusion model for the CT reaction or an eikonal equation. Our theoretical results are compared to recent experimental data.

Keywords

dispersion, physics, convective, Hale-Shaw cells, chemical physics

Disciplines

Physics

Included in

Physics Commons

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