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). ISSN 1063-651X

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Abstract

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 Damkohler 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 Damkohler numbers, a localized perturbation at the steady state is homogenized within the background oscillations. For larger Damkohler 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.

Item Type: Article
Additional Information: Article Number: 026216
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Istvan Kiss
Date Deposited: 06 Feb 2012 19:55
Last Modified: 13 Mar 2017 23:56
URI: http://sro.sussex.ac.uk/id/eprint/23001

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