Pattern formation in homogeneous reactor models

Sheintuch, Moshe; Nekhamkina, Olga

doi:10.1002/aic.690450219

Cited by 27 publications

(14 citation statements)

References 19 publications

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“…The system above with θ = 1 may admit moving (or stationary) front solutions 38. To admit an oscillatory behavior, we vary the catalytic activity using a simple linear expression12, 39 that assumes that deactivation occurs faster at higher temperatures and at higher activities and that its rate is independent of the reactant concentration.…”

Section: Reactor Modelmentioning

confidence: 99%

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Nekhamkina¹,

Sheintuch²

2010

AIChE Journal

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in Wiley Online Library (wileyonlinelibrary.com).Formation of transversal patterns in a 3D cylindrical reactor is studied with a catalytic reactor model in which an exothermic first-order reaction of Arrhenius kinetics occurs with a variable catalytic activity. Under these oscillatory kinetics, the system exhibits a planar front (1D) solution with the front position oscillating in the axial direction. Three types of patterns were simulated in the 3D system: rotating fronts, oscillating fronts with superimposed transversal (nonrotating) oscillations, and mixed rotating-oscillating fronts. These solutions coexist with the planar front solution and require special initial conditions. We map bifurcation diagrams showing domains of different modes using the reactor radius as a bifurcation parameter. The possible reduction of the 3D model to the 2D cylindrical shell model is discussed.

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Section: Reactor Modelmentioning

confidence: 99%

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Nekhamkina¹,

Sheintuch²

2010

AIChE Journal

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“…Balakotaiah and coworkers predicted transverse pattern formation in adiabatic packed bed reactors in which a bimolecular reaction (with Langmuir-Hinshelwood kinetics) occurs [17], and in catalytic monolith reactors in which an exothermic surface reaction occurs [18]. Sheintuch and Nekhamkina [19] analyzed the pattern formation in homogeneous model of a fixed catalytic bed for reactions with oscillatory kinetics. Viswanathan and Luss [20][21][22] ied the conditions for the existence of hot zones in a uniformly active shallow as well as long adiabatic packed bed reactors using a two-phase model.…”

Section: Introductionmentioning

confidence: 98%

Linear stability analysis of high- and low-dimensional models for describing mixing-limited pattern formation in homogeneous autocatalytic reactors

Gupta

Chakraborty

2009

Chemical Engineering Journal

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“…The chaotic solutions and the bifurcation scenarios leading to chaos were studied numerically for a three-unit LR by Russo et al 23 and Altimari et al 24 A brief analysis of complex non-frozen solutions in a LR with different N was conducted in our previous works. 20,21 Note, that the complex dynamics emerging in this case is different from that simulated and observed for a packed bed in which an oscillatory reaction proceeds (Barto and Sheintuch, 25 Sheintuch and Nekhamkina, 26 Digilov et al 27 ).…”

Section: Introductionmentioning

confidence: 57%

Structure of operating domains of loop reactors

Nekhamkina

Sheintuch

2008

AIChE Journal

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A loop reactor (LR), composed as an N‐unit loop with step‐wise shifted inlet and outlet ports, is one of suggested technological solutions for low‐concentration volatile organic compounds (VOC) combustion. Such a scheme ensures a sufficiently high temperature with autothermal behavior and nearly uniform catalytic utilization. The main drawback of the LR is a very narrow window of switching velocities that sustain a stable “frozen” solution that exists if the switching and the pulse velocity are synchronized. In the present work we show the existence of many “finger”‐like domains of complex frequency‐locked solutions that allow to significantly extend the operation domain, rendering the LR scheme more attractive for practical implementation. A brief comparison with the other heat recuperation technologies (reverse flow and circular loop reactors) is presented. © 2008 American Institute of Chemical Engineers AIChE J, 2008

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Pattern formation in homogeneous reactor models

Abstract: This work analyzes pattern formation mechanisms in the homogeneous

Cited by 27 publications

References 19 publications

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Transversal patterns in three‐dimensional packed bed reactors: Oscillatory kinetics

Linear stability analysis of high- and low-dimensional models for describing mixing-limited pattern formation in homogeneous autocatalytic reactors

Structure of operating domains of loop reactors

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