The myth of the well-stirred CSTR in chemical instability experiments:  the chlorite/iodide reaction

Menzinger, Michael; Dutt, Arun K.

doi:10.1021/j100374a031

Cited by 34 publications

(25 citation statements)

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“…1,2 In bistable systems, experiments have shown that the values of steady state concentrations, of stability limits (bifurcation points), and of concentration fluctuations may depend sensitively on stirring. [2][3][4][5][6] Theoretical analyses confirmed certain qualitative aspects of these experimental observations. [7][8][9][10][11][12] The stirring dependence of bistability was studied most thoroughly in the chlorite-iodide reaction, both by experiments [2][3][4][5][6] and by theory.…”

Section: Introductionsupporting

confidence: 60%

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Stirring Effect on the Bistability of the Belousov−Zhabotinsky Reaction in a CSTR

Strizhak

Menzinger

1996

J. Phys. Chem.

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Experiments show that the hysteresis of the bistable Belousov-Zhabotinsky reaction contracts along the directions of both the control parameter and the response variable as the stirring rate is decreased. A onedimensional stochastic model reproduces qualitatively and quantitatively the effect of stirring on both steady states and hysteresis limits. The model suggests a classification of known stirring effects. A system behaves effectively one-dimensionally when its hysteresis contracts at low stirring. Otherwise, the system is described by at least two dynamical variables.

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Section: Introductionsupporting

confidence: 60%

“…5,14 The rectangular stirrer (8 × 15 mm, steel coated by Teflon) was positioned 30 mm above the bottom of the reactor. The stirring rate was varied between 0 < S < 1500 rpm.…”

Section: Methodsmentioning

confidence: 99%

Stirring Effect on the Bistability of the Belousov−Zhabotinsky Reaction in a CSTR

Strizhak

Menzinger

1996

J. Phys. Chem.

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“…An increasing stirring rate leads to an increasing parameter ν and decreasing parameter b as illustrated in Figures 4d and 4e, respectively. Contrary to Figure 4e Table 1 (a) and parameters of equations (1), (2), and (7) (b -f) vs. stirring rate. Conditions are the same as in Figure 1.…”

Section: The Time-delayed Hopf Bifurcationmentioning

confidence: 86%

“…Among them there are the chloriteiodide reaction, the minimal bromate oscillators [1,2], the IO 3 − /H 3 AsO 3 reaction [3], and the BelousovZhabotinsky (BZ) reaction [4].…”

Section: Introductionmentioning

confidence: 99%

Stirring Effect on the Belousov-Zhabotinsky Oscillating Chemical Reactions in a Batch. Experimental and Modelling

Kalishyn

Rachwalska

Strizhak

2010

Zeitschrift Für Naturforschung A

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We have studied the stirring effect on the time-delayed bifurcations of transient oscillations in the Belousov-Zhabotinsky (BZ) oscillating chemical reaction in a closed system. Experiments show that oscillations disappear through the time-delayed Hopf bifurcations, whose parameters depend on the stirring rate. The explanation of the stirring effect is based on the theories of diffusion-controlled reactions and hydrodynamic turbulence. We show that an increase of the stirring rate leads to an increase of the rate constant for the diffusion-controlled reaction. We propose a kinetic scheme that describes the effect observed in the experiments. A good agreement between the experimental data and the simulations is obtained.

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“…In laboratory experiments, for example, strong stirring is frequently used to achieve good homogeneity of the reactants. Nevertheless, perfect homogeneity can never be fully realized and it has been observed that experimental measurements can depend on stirring rates [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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

Kiss

Merkin²,

Neufeld³

2004

Phys. Rev. E

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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.

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The myth of the well-stirred CSTR in chemical instability experiments: the chlorite/iodide reaction

Cited by 34 publications

References 0 publications

Stirring Effect on the Bistability of the Belousov−Zhabotinsky Reaction in a CSTR

Stirring Effect on the Bistability of the Belousov−Zhabotinsky Reaction in a CSTR

Stirring Effect on the Belousov-Zhabotinsky Oscillating Chemical Reactions in a Batch. Experimental and Modelling

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

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