Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction

Kiss, I. Z., Merkin, J. H. and Neufeld, Z. (2004) Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction. Physical Review E, 70 2: . doi:10.1103/PhysRevE.70.026216

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Author Kiss, I. Z.
Merkin, J. H.
Neufeld, Z.
Title Homogenization induced by chaotic mixing and diffusion in an oscillatory chemical reaction
Journal name Physical Review E   Check publisher's open access policy
ISSN 1063-651X
Publication date 2004-08
Sub-type Article (original research)
DOI 10.1103/PhysRevE.70.026216
Open Access Status File (Publisher version)
Volume 70
Issue 2
Total pages 11
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract Received 28 February 2004; published 30 August 2004 A model for an imperfectly mixed batch reactor with the chlorine dioxide-iodine-malonic acid (CDIMA) reaction, with the mixing being modelled by chaotic advection, is considered. The reactor is assumed to be operating in oscillatory mode and the way in which an initial spatial perturbation becomes homogenized is examined. When the kinetics are such that the only stable homogeneous state is oscillatory then the perturbation is always entrained into these oscillations. The rate at which this occurs is relatively insensitive to the chemical effects, measured by the Damköhler number, and is comparable to the rate of homogenization of a passive contaminant. When both steady and oscillatory states are stable, spatially homogeneous states, two possibilities can occur. For the smaller Damköhler numbers, a localized perturbation at the steady state is homogenized within the background oscillations. For larger Damköhler numbers, regions of both oscillatory and steady behavior can co-exist for relatively long times before the system collapses to having the steady state everywhere. An interpretation of this behavior is provided by the one-dimensional Lagrangian filament model, which is analyzed in detail.
Keyword Chlorite iodide reaction
Lamellar system
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes Article no. 026216

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
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Created: Thu, 28 Jun 2012, 12:17:07 EST by Zoltan Neufeld on behalf of Mathematics